Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays | Paper Citation Record

Observation d73ed299-4894-46d5-9ee5-e74b886a186e · outbound

This paper cites Molecular momentum transport at fluid-solid interfaces in MEMS/NEMS: a review,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Molecular momentum transport at fluid-solid interfaces in MEMS/NEMS: a review,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:19.059219Z

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Observation d5859874-11be-4cca-b004-c041f4297171 · outbound

This paper cites A review of rarefied gas flow in irregular micro/nanochannels,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays A review of rarefied gas flow in irregular micro/nanochannels,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:19.037540Z

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Observation 3673123b-80ec-45e1-bec4-2d4138541da5 · outbound

This paper cites Realistic air filter media performance simulation. Part II: Beyond finite -volume computational fluid dynamics procedures,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Realistic air filter media performance simulation. Part II: Beyond finite -volume computational fluid dynamics procedures,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:19.016742Z

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Observation 9a6ff0a1-251a-414f-a3bf-904f27a01c7c · outbound

This paper cites Critical Review of Fluid Flow Physics at Micro - to Nano-scale Porous Media Applications in the Energy Sector,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Critical Review of Fluid Flow Physics at Micro - to Nano-scale Porous Media Applications in the Energy Sector,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.997852Z

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Observation 22c05b80-9eb6-4dee-b1b6-d59473e3e3d8 · outbound

This paper cites an unresolved cited work.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:49:18.975273Z

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Observation 0d29457e-13ad-46ed-84c4-be48c6ef8ff5 · outbound

This paper cites Cercignani, The Boltzmann Equation and Its Applications: Springer New York, 1987.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Cercignani, The Boltzmann Equation and Its Applications: Springer New York, 1987

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.951909Z

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Observation c88439c2-46b2-4140-b64e-d8d620877183 · outbound

This paper cites Succi, The Lattice Boltzmann Equation: For Complex States of Flowing Matter : Oxford University Press, 2018.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Succi, The Lattice Boltzmann Equation: For Complex States of Flowing Matter : Oxford University Press, 2018

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.931011Z

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Observation 2285eb37-310d-4811-9c1d-486865ba311f · outbound

This paper cites Devienne, Frottement et Échanges Thermiques dans les Gaz Raréfiés.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Devienne, Frottement et Échanges Thermiques dans les Gaz Raréfiés

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.907424Z

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Observation 278a5586-fafe-4e81-bd59-60af1ac57439 · outbound

This paper cites Discontinuity of the velocity distribution function in a rarefied gas around a convex body and the S layer at the bottom of the Knudsen layer,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Discontinuity of the velocity distribution function in a rarefied gas around a convex body and the S layer at the bottom of the Knudsen layer,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.889196Z

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Observation 0245bb25-d642-41dc-8aa6-79b68d903844 · outbound

This paper cites Rarefied gas flow over an in-line array of circular cylinders,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Rarefied gas flow over an in-line array of circular cylinders,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.866047Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3332e434-a0af-4850-baa7-df48f98bf1d0 · outbound

This paper cites Numerical study of the generalized cylindrical Couette flow of rarefied gas,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Numerical study of the generalized cylindrical Couette flow of rarefied gas,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.845387Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation dd915805-8244-4baa-a97d-a5ed4c7f4955 · outbound

This paper cites Gatignol, Théorie cinétique des gaz à répartition discrète de vitesses : Springer-Verlag, 1975.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Gatignol, Théorie cinétique des gaz à répartition discrète de vitesses : Springer-Verlag, 1975

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.821183Z

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Observation cc32158d-b58a-40c4-9bb3-cfe02629ac73 · outbound

This paper cites Efficient prediction of gas permeability by hybrid DSBGK-LBM simulations,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Efficient prediction of gas permeability by hybrid DSBGK-LBM simulations,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.798977Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 27e21263-6c63-44bb-8d31-d04c0c35c766 · outbound

This paper cites Pore-scale gas flow simulations by the DSBGK and DVM methods,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Pore-scale gas flow simulations by the DSBGK and DVM methods,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.780849Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation fa672242-ac57-417b-a5df-1f2ccf4804f6 · outbound

This paper cites Subsonic Rarefied Gas Flow over a Rectangular Cylinder,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Subsonic Rarefied Gas Flow over a Rectangular Cylinder,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.757044Z

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Observation c8176bfd-282e-4b59-b5bb-a18818af59de · outbound

This paper cites Discrete unified gas kinetic scheme for all Knudsen number flows: Low-speed isothermal case,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Discrete unified gas kinetic scheme for all Knudsen number flows: Low-speed isothermal case,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.729006Z

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Observation 4f3573b7-bcab-46d1-9629-cdc3f8cacc58 · outbound

This paper cites Discrete unified gas kinetic scheme on unstructured meshes,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Discrete unified gas kinetic scheme on unstructured meshes,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.697994Z

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Observation 5817d4a3-ea1d-44de-bd7d-d2acf3b85e08 · outbound

This paper cites A comparative study of discrete velocity methods for low -speed rarefied gas flows,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays A comparative study of discrete velocity methods for low -speed rarefied gas flows,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.677784Z

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Observation 8520de59-2b16-44c0-9102-46376ef8a794 · outbound

This paper cites Progress of discrete unified gas -kinetic scheme for multiscale flows,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Progress of discrete unified gas -kinetic scheme for multiscale flows,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.658317Z

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Observation c9f26645-2888-42db-ba6b-b1de8c09c09e · outbound

This paper cites Discrete unified gas kinetic scheme simulation of microflows with complex geometries in Cartesian grid,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Discrete unified gas kinetic scheme simulation of microflows with complex geometries in Cartesian grid,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.639168Z

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Observation dca0e579-9e7c-4521-a778-c32335b0bbdd · outbound

This paper cites an unresolved cited work.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:49:18.619906Z

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Observation 3e38066a-e9e2-4b75-aa01-abb362ed5c89 · outbound

This paper cites An open source, parallel DSMC code for rarefied gas flows in arbitrary geometries,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays An open source, parallel DSMC code for rarefied gas flows in arbitrary geometries,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.601299Z

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Observation 9373c60e-3023-4428-9c83-dfaf42e6c431 · outbound

This paper cites Rarefied gas effect in hypersonic shear flows,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Rarefied gas effect in hypersonic shear flows,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.582114Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5a843151-a0e2-4659-9540-369b90bdfa83 · outbound

This paper cites Monte Carlo analysis of macroscopic fluctuations in a rarefied hypersonic flow around a cylinder,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Monte Carlo analysis of macroscopic fluctuations in a rarefied hypersonic flow around a cylinder,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.562903Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f578c685-c9e6-4f0d-aa4a-019240da4e8a · outbound

This paper cites DSMC Analysis of Rarefied Gas Flow Over a Rectangular Cylinder at All Knudsen Numbers,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays DSMC Analysis of Rarefied Gas Flow Over a Rectangular Cylinder at All Knudsen Numbers,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.542858Z

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Observation cb972621-3e70-4572-9da9-9ef4e283edb3 · outbound

This paper cites an unresolved cited work.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:49:18.524460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 309a8f78-783f-4052-8339-b7260de0c4f4 · outbound

This paper cites Study of Rarefied Flow Around Rectangular Cylinder Using DSMC,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Study of Rarefied Flow Around Rectangular Cylinder Using DSMC,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.507404Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ca3a65ce-09d1-483f-b8a4-f2babcd2560b · outbound

This paper cites High -Speed Rarefied Flow Past a Rotating Cylinder: The Inverse Magnus Effect,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays High -Speed Rarefied Flow Past a Rotating Cylinder: The Inverse Magnus Effect,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.490207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bf442f9f-4d75-4990-99be-e3f07973f08a · outbound

This paper cites Aerodynamics of a Spinning Cylinder in Rarefied Gas Flows,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Aerodynamics of a Spinning Cylinder in Rarefied Gas Flows,

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.470977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cd302d3a-5b82-4593-b47e-ca3be547e9df · outbound

This paper cites The effect of Knudsen layers on rarefied cylindrical Couette gas flows,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays The effect of Knudsen layers on rarefied cylindrical Couette gas flows,

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.453463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 63e514fa-51a8-40fa-b252-6b0a9ff30a8e · outbound

This paper cites Continuum and kinetic simulations of heat transfer trough rarefied gas in annular and planar geometries in the slip regime,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Continuum and kinetic simulations of heat transfer trough rarefied gas in annular and planar geometries in the slip regime,

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.436981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 35e862f7-735a-4457-b03a-6006ba90e360 · outbound

This paper cites A two -dimensional computational study of gas flow regimes past of square cylinder confined in a long microchannel,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays A two -dimensional computational study of gas flow regimes past of square cylinder confined in a long microchannel,

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.419752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0267d061-b239-400e-b1c9-8f1ffe2468d4 · outbound

This paper cites Hidden physics models: Machine learning of nonlinear partial differential equations,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Hidden physics models: Machine learning of nonlinear partial differential equations,

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.402690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d617e6fb-a88e-47dc-b87b-d584a396ea85 · outbound

This paper cites Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations,

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.385415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6e94cb78-0991-4b77-8a0c-a75d9fc42742 · outbound

This paper cites Physics - informed machine learning,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Physics - informed machine learning,

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.365623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1150d558-5c99-4d1c-8be4-0bae2be474ed · outbound

This paper cites On the convergence of physics informed neural networks for linear second-order elliptic and parabolic type PDEs.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays On the convergence of physics informed neural networks for linear second-order elliptic and parabolic type PDEs

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-10T21:49:17.223401Z

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Observation dee679ca-ebf0-4d17-b1e6-0fddcc0e768d · outbound

This paper cites Physics-informed neural networks (PINNs) for fluid mechanics: a review,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Physics-informed neural networks (PINNs) for fluid mechanics: a review,

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.343894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 35daf88b-fd65-485d-8e2b-a78f6ae9a1df · outbound

This paper cites Physics-Informed Neural Networks for Low Reynolds Number Flows over Cylinder,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Physics-Informed Neural Networks for Low Reynolds Number Flows over Cylinder,

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.325939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 23100ca5-2091-4fe4-b0d2-f60678ce96ba · outbound

This paper cites NSFnets (Navier -Stokes flow nets): Physics - informed neural networks for the incompressible Navier -Stokes equations,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays NSFnets (Navier -Stokes flow nets): Physics - informed neural networks for the incompressible Navier -Stokes equations,

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.306339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8204467a-848e-40e5-b56c-939c2b765747 · outbound

This paper cites Physics-informed neural networks for rarefied -gas dynamics: Thermal creep flow in the Bhatnagar –Gross–Krook approximation,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Physics-informed neural networks for rarefied -gas dynamics: Thermal creep flow in the Bhatnagar –Gross–Krook approximation,

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.288548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 82fae49d-efd3-42af-9786-d9b71cb67d7f · outbound

This paper cites Physics-Informed Neural Networks for rarefied -gas dynamics: Poiseuille flow in the BGK approximation,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Physics-Informed Neural Networks for rarefied -gas dynamics: Poiseuille flow in the BGK approximation,

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.270011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 94bdbc04-3a63-460f-9c63-6e7d22d555d8 · outbound

This paper cites Simulation of rarefied gas flows using physics - informed neural network combined with discrete velocity method,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Simulation of rarefied gas flows using physics - informed neural network combined with discrete velocity method,

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.251467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 109cf239-36f7-4ce3-8dc0-86fb3b9d089d · outbound

This paper cites Physics -informed neural networks for solving forward and inverse flow problems via the Boltzmann -BGK formulation,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Physics -informed neural networks for solving forward and inverse flow problems via the Boltzmann -BGK formulation,

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.231601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation fe7ee8c6-2784-41d3-be68-96a05b5297bc · outbound

This paper cites Uniformly accurate machine learning-based hydrodynamic models for kinetic equations,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Uniformly accurate machine learning-based hydrodynamic models for kinetic equations,

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.211673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5f17a57e-62ad-452a-8bd8-46aaa6b2916a · outbound

This paper cites Learning Invariance Preserving Moment Closure Model for Boltzmann–BGK Equation,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Learning Invariance Preserving Moment Closure Model for Boltzmann–BGK Equation,

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.187279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cdbd7e8c-8979-4a0d-993c-70d0b21d16d6 · outbound

This paper cites Data -driven discovery of governing equations for fluid dynamics based on molecular simulation,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Data -driven discovery of governing equations for fluid dynamics based on molecular simulation,

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.168033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation fdcf5d3b-50c8-41d7-b109-a0d324005c7e · outbound

This paper cites Learning of viscosity functions in rarefied gas flows with physics-informed neural networks,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Learning of viscosity functions in rarefied gas flows with physics-informed neural networks,

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.150121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d7c0c3c3-1c11-412f-b17b-36f8c7e6a793 · outbound

This paper cites Deep Learning Closure of the Navier– Stokes Equations for Transition-Continuum Flows,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Deep Learning Closure of the Navier– Stokes Equations for Transition-Continuum Flows,

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.128684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a63f118a-e458-487e-aca2-ccdfdd2e6cc8 · outbound

This paper cites Neural network -based finite volume method and direct simulation Monte Carlo solutions of non -equilibrium shock flow guided by nonlinear coupled constitutive relations,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Neural network -based finite volume method and direct simulation Monte Carlo solutions of non -equilibrium shock flow guided by nonlinear coupled constitutive relations,

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.110130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a78b323c-68c9-4136-9195-4eeb75633004 · outbound

This paper cites Physics-Informed Machine Learning: A Survey on Problems, Methods and Applications.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Physics-Informed Machine Learning: A Survey on Problems, Methods and Applications

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-10T21:49:17.303227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bfa2679e-dfdf-4574-abdd-832b970a8132 · outbound

This paper cites A comprehensive and fair comparison of two neural operators (with practical extensions) based on FAIR data,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays A comprehensive and fair comparison of two neural operators (with practical extensions) based on FAIR data,

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.090104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e6312505-480e-4f49-8536-cea20c98dfe9 · outbound

This paper cites Understanding and mitigating gradient flow pathologies in physics-informed neural networks,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Understanding and mitigating gradient flow pathologies in physics-informed neural networks,

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.071298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 71b5fc08-2112-4930-942b-45c4db114abb · outbound

This paper cites When and why PINNs fail to train: A neural tangent kernel perspective,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays When and why PINNs fail to train: A neural tangent kernel perspective,

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.054359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a1c33e5d-8981-494f-add1-7c97561d7fc3 · outbound

This paper cites On stresses in rarified gases arising from inequalities of temperature,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays On stresses in rarified gases arising from inequalities of temperature,

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.037767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1b48a985-85b1-4eca-8a88-369052bddbb9 · outbound

This paper cites A review on slip models for gas microflows,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays A review on slip models for gas microflows,

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:18.012959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 46c1a4b1-6061-48a8-becf-5a66f01e070e · outbound

This paper cites Direct Monte Carlo Simulation of Transverse Supersonic Rarefied Gas Flow around a Cylinder,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Direct Monte Carlo Simulation of Transverse Supersonic Rarefied Gas Flow around a Cylinder,

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:17.988616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e136e899-cb54-4460-8220-d0cb5ab0b22c · outbound

This paper cites Direct simulation Monte Carlo on petaflop supercomputers and beyond,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Direct simulation Monte Carlo on petaflop supercomputers and beyond,

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:17.961800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d0129659-47c5-4441-b6e9-f3559d2cf3f4 · outbound

This paper cites Non-equilibrium effects on flow past a circular cylinder in the slip and early transition regime,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Non-equilibrium effects on flow past a circular cylinder in the slip and early transition regime,

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:17.939005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a113f888-5ac8-4192-ada5-f9cff172c389 · outbound

This paper cites Molecular-gas-dynamics simulations of turbulent Couette flow over a mean-free-path-scale permeable substrate,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Molecular-gas-dynamics simulations of turbulent Couette flow over a mean-free-path-scale permeable substrate,

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:17.919548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b53d94ac-8bab-471f-a796-d0f230e3ef81 · outbound

This paper cites Kokkos: Enabling manycore performance portability through polymorphic memory access patterns,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Kokkos: Enabling manycore performance portability through polymorphic memory access patterns,

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:17.899783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8f92fda8-0a53-46ad-8788-a9af1b6da5ea · outbound

This paper cites How important are activation functions in regression and classification? A survey, performance comparison, and future directions,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays How important are activation functions in regression and classification? A survey, performance comparison, and future directions,

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:17.881804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 222993b6-5325-46e3-a56e-3f9a409688d3 · outbound

This paper cites Adaptive activation functions accelerate convergence in deep and physics -informed neural networks,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Adaptive activation functions accelerate convergence in deep and physics -informed neural networks,

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:17.859394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 00c23f73-6102-4266-94be-f8652d1da176 · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Adam: A Method for Stochastic Optimization

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-10T21:49:17.497147Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 80ea7b8e-a995-428f-aa36-70070dbdad6a · outbound

This paper cites Physics -Informed Neural Networks with Hard Constraints for Inverse Design,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Physics -Informed Neural Networks with Hard Constraints for Inverse Design,

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:17.839915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8503475f-8e3a-4132-9e0c-584c584f8aa3 · outbound

This paper cites A method for representing periodic functions and enforcing exactly periodic boundary conditions with deep neural networks,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays A method for representing periodic functions and enforcing exactly periodic boundary conditions with deep neural networks,

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:17.816225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 896a7569-8bef-4daf-a45c-4a498ad3fc30 · outbound

This paper cites Data normalization and standardization: a technical report,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Data normalization and standardization: a technical report,

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:17.796660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5b0ea490-0190-461c-9073-0f694e708fba · outbound

This paper cites DeepXDE: A deep learning library for solving differential equations,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays DeepXDE: A deep learning library for solving differential equations,

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:17.769571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 383a1596-7814-4e18-9c6f-4d6bad205969 · outbound

This paper cites an unresolved cited work.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Unresolved cited work

Reference 68

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:49:17.746964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cb467081-3094-4117-a2b1-1e694aa237c0 · outbound

This paper cites CUDA, release: 11.8,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays CUDA, release: 11.8,

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:17.726264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 53ae5d77-4828-4b49-8657-4b2e82f1bbaf · outbound

This paper cites An extended Navier-Stokes formulation for gas flows in the Knudsen layer near a wall,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays An extended Navier-Stokes formulation for gas flows in the Knudsen layer near a wall,

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:17.702561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e90fac45-9f2f-4ea7-81cb-9be9c7f311cf · outbound

This paper cites Computation of Effective Viscosities for Rarefied Gas Flows Using Ray -Tracing,.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays Computation of Effective Viscosities for Rarefied Gas Flows Using Ray -Tracing,

Reference 71

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:17.681704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d14dcdfc-0e9c-4a93-ad4d-d0b174dbd11a · outbound

This paper cites On the invalidity of the extended Navier- Stokes equations to compute rarefied gas flows in a cylinder array (in revision),.

Physics-Informed Neural Networks for microflows: Rarefied Gas Dynamics in Cylinder Arrays On the invalidity of the extended Navier- Stokes equations to compute rarefied gas flows in a cylinder array (in revision),

Reference 72

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:49:17.660724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Reference resolution

Outbound references

Pith citing papers