Flexible and Stable Dynamics Discovery with Onsager's Variational Principle | Paper Citation Record

Observation 7a80ad73-20a4-44d5-a0b3-773eccdae9db · outbound

This paper cites Efficiently pa- rameterized neural metriplectic systems.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Efficiently pa- rameterized neural metriplectic systems

Reference 1

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This paper cites Structure-preserving deep learning.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Structure-preserving deep learning

Reference 2

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This paper cites Alvarez Loya, D.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Alvarez Loya, D

Reference 3

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Observation f55533bd-6de2-4a3c-bdcb-604e7460cefa · outbound

This paper cites Hamiltonian neural networks.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Hamiltonian neural networks

Reference 4

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Observation 9b02bf45-3882-4964-9437-c57cefc92615 · outbound

This paper cites Energetic variational neural network discretizations of gradient flows.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Energetic variational neural network discretizations of gradient flows

Reference 5

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Observation 0fe508cf-0366-47f9-a022-a34f3720d80b · outbound

This paper cites Onsager’s variational principle in soft matter.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Onsager’s variational principle in soft matter

Reference 6

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This paper cites Onsager’s variational principle in soft matter: introduction and application to the dynamics of adsorption of proteins onto fluid membranes.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Onsager’s variational principle in soft matter: introduction and application to the dynamics of adsorption of proteins onto fluid membranes

Reference 7

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Observation 90575f0c-c14e-40d7-bf6c-82d9c7c66b84 · outbound

This paper cites Onsager’s variational principle in active soft matter.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Onsager’s variational principle in active soft matter

Reference 8

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Observation 1aa5eef1-981d-4bac-b1a1-440c0795c70d · outbound

This paper cites Thermodynamic variational principle, its connections to the phenomenological laws and its applications to the derivation of microstructural models.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Thermodynamic variational principle, its connections to the phenomenological laws and its applications to the derivation of microstructural models

Reference 9

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Observation f964f937-b598-4086-b620-64a57c68fc95 · outbound

This paper cites Onsager’s varia- tional principle for nonreciprocal systems with odd elasticity.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Onsager’s varia- tional principle for nonreciprocal systems with odd elasticity

Reference 10

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Observation deb35eed-5b4a-4319-af41-4f9c6ea27789 · outbound

This paper cites Dynamics of viscoelastic filaments based on Onsager principle.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Dynamics of viscoelastic filaments based on Onsager principle

Reference 11

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Observation b1968070-ca0c-4f41-a1a6-f99b69d86175 · outbound

This paper cites Hydrodynamic boundary conditions derived from Onsager’s variational principle.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Hydrodynamic boundary conditions derived from Onsager’s variational principle

Reference 12

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Observation c8ec3470-5b10-4e16-8b67-938cd313b63e · outbound

This paper cites The Onsager principle and structure preserving nu- merical schemes.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle The Onsager principle and structure preserving nu- merical schemes

Reference 13

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Observation 5375f432-f803-4a44-ad25-00734552470c · outbound

This paper cites Stokes flow of an evolving fluid film with arbitrary shape and topology.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Stokes flow of an evolving fluid film with arbitrary shape and topology

Reference 14

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Observation 89d7156c-b625-49e3-94b1-3a57d48409a7 · outbound

This paper cites A variational discretization method for mean curvature flows by the Onsager principle.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle A variational discretization method for mean curvature flows by the Onsager principle

Reference 15

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Observation e1c48327-b450-454d-a3e2-78eb9cb13ef0 · outbound

This paper cites Energy stable and mass conservative numerical method for a generalized hydrodynamic phase-field model with different densities.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Energy stable and mass conservative numerical method for a generalized hydrodynamic phase-field model with different densities

Reference 16

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Observation 72858ec4-13df-4423-b61f-4c22351be246 · outbound

This paper cites A moving mesh method for porous medium equation by the Onsager variational principle.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle A moving mesh method for porous medium equation by the Onsager variational principle

Reference 17

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Observation 876b74b9-3b93-4bc4-839d-f6ae6c22636a · outbound

This paper cites A thermodynamically consistent phase-field lattice Boltzmann method for two-phase electrohydrodynamic flows.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle A thermodynamically consistent phase-field lattice Boltzmann method for two-phase electrohydrodynamic flows

Reference 18

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Observation 08ff597f-2108-4fab-a2a1-cadbed226898 · outbound

This paper cites Nonlinear instability in dissipative finite difference schemes.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Nonlinear instability in dissipative finite difference schemes

Reference 19

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Observation 057bddc7-d29e-40c5-8959-52f5ecf7dddf · outbound

This paper cites A stable and conservative finite difference scheme for the Cahn-Hilliard equation.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle A stable and conservative finite difference scheme for the Cahn-Hilliard equation

Reference 20

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Observation 05f08150-7c89-41fc-b3c1-f24e87dc130b · outbound

This paper cites On energy dissipation theory and numerical stability for time- fractional phase-field equations.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle On energy dissipation theory and numerical stability for time- fractional phase-field equations

Reference 21

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Observation 7a886b04-22bc-4749-8351-deb362bd8679 · outbound

This paper cites Reciprocal relations in irreversible processes.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Reciprocal relations in irreversible processes

Reference 22

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Observation cdbdd6fc-4ed0-41e6-8ea5-dc26739e719b · outbound

This paper cites Reciprocal relations in irreversible processes.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Reciprocal relations in irreversible processes

Reference 23

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Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Unresolved cited work

Reference 24

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Observation 1111bd67-b89e-4076-a890-d254a8d50b30 · outbound

This paper cites Mathematical foundations of elasticity.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Mathematical foundations of elasticity

Reference 25

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Observation d6953d85-c0d1-4f35-b936-569d2bbe9b48 · outbound

This paper cites The geometry of dissipative evolution equations: the porous medium equation.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle The geometry of dissipative evolution equations: the porous medium equation

Reference 26

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Observation e0a0008b-1779-4ac2-b08b-c2445fd9ff90 · outbound

This paper cites Statistical mechanics of lattice systems: a concrete mathematical introduction.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Statistical mechanics of lattice systems: a concrete mathematical introduction

Reference 27

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Observation 2d94e7fb-9c7a-4c88-895e-62594f2a4e74 · outbound

This paper cites Thermodynamics and an introduction to thermostatistics, 1998.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Thermodynamics and an introduction to thermostatistics, 1998

Reference 28

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Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Unresolved cited work

Reference 29

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Observation d79190f2-e94f-404c-972b-cd2b68eff298 · outbound

This paper cites American Mathematical Soc., 2021.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle American Mathematical Soc., 2021

Reference 30

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Observation a50c5ac4-dfb5-4117-b595-951cc8187ca7 · outbound

This paper cites Phase-field models for microstructure evolution.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Phase-field models for microstructure evolution

Reference 31

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Observation d4e9a18f-a596-4364-8ef0-08e9b2835c28 · outbound

This paper cites Phase-field modeling of fracture.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Phase-field modeling of fracture

Reference 32

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Observation e944f0d2-8b1d-441b-861c-8f29cc62c561 · outbound

This paper cites Optimal design of chemoepitaxial guideposts for the directed self-assembly of block copolymer systems using an inexact Newton algorithm.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Optimal design of chemoepitaxial guideposts for the directed self-assembly of block copolymer systems using an inexact Newton algorithm

Reference 33

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Observation a33f8710-5ee2-49f2-80f3-17564355d29e · outbound

This paper cites Self-assembly of diblock copolymers under confinement.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Self-assembly of diblock copolymers under confinement

Reference 34

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Observation ee99aa4f-672d-4870-b24e-03e50392f3e3 · outbound

This paper cites Block copolymers: overview and critical survey.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Block copolymers: overview and critical survey

Reference 35

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This paper cites Weak and strong solutions to the nonhomogeneous incompressible Navier-Stokes-Cahn-Hilliard system.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Weak and strong solutions to the nonhomogeneous incompressible Navier-Stokes-Cahn-Hilliard system

Reference 36

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Observation 8a95a2c2-2884-412f-9314-62f3df5d9792 · outbound

This paper cites The Cahn–Hilliard–Navier–Stokes framework for multiphase fluid flows: laminar, turbulent and active.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle The Cahn–Hilliard–Navier–Stokes framework for multiphase fluid flows: laminar, turbulent and active

Reference 37

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This paper cites A Review on the Cahn-Hilliard Equation: Classical Results and Recent Advances in Dynamic Boundary Conditions.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle A Review on the Cahn-Hilliard Equation: Classical Results and Recent Advances in Dynamic Boundary Conditions

Reference 38

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Observation 43470f0e-bf8d-4869-b646-920d2ab273f6 · outbound

This paper cites Discrete mechanics and variational integrators.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Discrete mechanics and variational integrators

Reference 39

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Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Unresolved cited work

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Observation 753edbc1-0046-4630-8e65-99b4d32f59f2 · outbound

This paper cites New problems on minimizing movements.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle New problems on minimizing movements

Reference 41

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This paper cites The thresholding scheme for mean curvature flow and de giorgi’s ideas for minimizing movements.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle The thresholding scheme for mean curvature flow and de giorgi’s ideas for minimizing movements

Reference 42

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Observation b963fb58-6e3c-4d7c-bba9-6065bc057522 · outbound

This paper cites Structure-aware variational learning of a class of generalized diffusions, 2026.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Structure-aware variational learning of a class of generalized diffusions, 2026

Reference 43

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Observation 25bc7e54-39c5-4a7b-a848-e1251704c283 · outbound

This paper cites Monotone operators and the proximal point algorithm.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Monotone operators and the proximal point algorithm

Reference 44

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This paper cites The developments of proximal point algorithms.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle The developments of proximal point algorithms

Reference 45

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Observation 19f9cda7-0c65-4d59-8459-4c9f46a947d1 · outbound

This paper cites Tran, Ben S.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Tran, Ben S

Reference 46

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Observation 9d155e4d-190b-4717-a216-ec0ce17453b0 · outbound

This paper cites The variational formulation of the Fokker–Planck equation.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle The variational formulation of the Fokker–Planck equation

Reference 47

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Observation dfc42c9f-1a05-4d71-a8a9-48b52e9664ff · outbound

This paper cites OnsagerNet: Learning stable and interpretable dynamics using a generalized Onsager principle.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle OnsagerNet: Learning stable and interpretable dynamics using a generalized Onsager principle

Reference 48

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Observation 5f4e8f55-eb5c-45cd-bd7e-607b980b3d62 · outbound

This paper cites Variational Onsager neural networks (VONNs): A thermodynamics-based variational learning strategy for non-equilibrium pdes.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Variational Onsager neural networks (VONNs): A thermodynamics-based variational learning strategy for non-equilibrium pdes

Reference 49

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Observation 2b064fa1-649e-4083-8c74-1adc575e1420 · outbound

This paper cites Deep learning-based computational method for soft matter dynamics: Deep onsager-machlup method.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Deep learning-based computational method for soft matter dynamics: Deep onsager-machlup method

Reference 50

Resolution: verified exact; arxiv_id, observed 2026-07-04T18:50:04.571594Z

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Observation d0430b82-a2a4-46c6-a90d-5f5f44d97472 · outbound

This paper cites The deep Ritz method: A deep learning-based numerical algorithm for solving variational problems.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle The deep Ritz method: A deep learning-based numerical algorithm for solving variational problems

Reference 51

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Observation 6f7d84a2-e170-4933-a9f0-08d2591e9c83 · outbound

This paper cites Unsupervised operator learning approach for dissipative equations via Onsager principle, 2025.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Unsupervised operator learning approach for dissipative equations via Onsager principle, 2025

Reference 52

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Observation 2c6d1f49-2059-481c-9528-3c6baae941d6 · outbound

This paper cites Module-wise training of neural networks via the minimizing movement scheme.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Module-wise training of neural networks via the minimizing movement scheme

Reference 53

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Observation e2cb9c2a-0c31-48df-8261-a2301891b7bc · outbound

This paper cites Rumpf, J.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Rumpf, J

Reference 54

Resolution: metadata mismatch; arxiv_id, observed 2026-07-04T18:50:04.576773Z

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Observation c0b3efd9-6acf-4637-aa2f-8ed68a0060d6 · outbound

This paper cites Large-scale Wasserstein gradient flows.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Large-scale Wasserstein gradient flows

Reference 55

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Observation 7d9f055f-39c0-4b32-bc23-e82b853b4997 · outbound

This paper cites Optimizing Functionals on the Space of Probabilities with Input Convex Neural Networks.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Optimizing Functionals on the Space of Probabilities with Input Convex Neural Networks

Reference 56

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Observation b7293aef-5a40-4ebc-bd66-9cc4556ed60b · outbound

This paper cites Proximal optimal trans- port modeling of population dynamics.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Proximal optimal trans- port modeling of population dynamics

Reference 57

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Observation 8dcf607d-e58c-470c-8c94-f35088b6ca00 · outbound

This paper cites Input convex neural networks.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Input convex neural networks

Reference 58

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Observation cbd950e2-98bf-4232-ade3-5b2d01757d4e · outbound

This paper cites Normalizing flow neural networks by JKO scheme.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Normalizing flow neural networks by JKO scheme

Reference 59

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Observation c69b7037-9a31-4ca7-83e4-746668f27022 · outbound

This paper cites Variational inference with normalizing flows.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Variational inference with normalizing flows

Reference 60

Resolution: unresolved; no resolver link, observed 2026-06-25T22:31:07.731451Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cd5b0243-15c8-4a49-973e-136e157a85db · outbound

This paper cites Importance Corrected Neural JKO Sampling.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Importance Corrected Neural JKO Sampling

Reference 61

Resolution: verified exact; arxiv_id, observed 2026-07-04T18:50:04.563767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5255389b-1374-48a8-84a1-5b093a3ea3ff · outbound

This paper cites Efficient and modular implicit differentiation.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Efficient and modular implicit differentiation

Reference 62

Resolution: unresolved; no resolver link, observed 2026-06-25T22:31:07.731451Z

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Unavailable: canonical work link unavailable.

Observation a16d45a2-501f-481a-a260-d9ed8dccc109 · outbound

This paper cites Torchopt: An efficient library for differentiable optimization.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Torchopt: An efficient library for differentiable optimization

Reference 63

Resolution: unresolved; no resolver link, observed 2026-06-25T22:31:07.731451Z

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Unavailable: canonical work link unavailable.

Observation 63ea0404-3fdf-4041-8ce6-232312aa3ea3 · outbound

This paper cites Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface

Reference 64

Resolution: unresolved; no resolver link, observed 2026-06-25T22:31:07.731451Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dca10ca1-fcd7-448e-b9fb-27e39490b06f · outbound

This paper cites Computational design of the basic dynamical processes of the UCLA general circulation model.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Computational design of the basic dynamical processes of the UCLA general circulation model

Reference 65

Resolution: unresolved; no resolver link, observed 2026-06-25T22:31:07.731451Z

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Unavailable: canonical work link unavailable.

Observation 6f56f9e5-81de-413b-9d64-f91432aee13d · outbound

This paper cites Physics of active emulsions.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Physics of active emulsions

Reference 66

Resolution: unresolved; no resolver link, observed 2026-06-25T22:31:07.731451Z

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Observation e5968d6f-7fba-4f6b-a506-e57bdec17332 · outbound

This paper cites Tsori and D.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Tsori and D

Reference 67

Resolution: unresolved; no resolver link, observed 2026-06-25T22:31:07.731451Z

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Observation 3f5ea643-4533-4e3c-ac62-ccd51437019c · outbound

This paper cites an unresolved cited work.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Unresolved cited work

Reference 68

Resolution: unresolved; no resolver link, observed 2026-06-25T22:31:07.731451Z

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Observation 5d2defc6-0802-4dfe-9599-7077a06c934b · outbound

This paper cites Equilibrium morphology of block copolymer melts.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Equilibrium morphology of block copolymer melts

Reference 69

Resolution: unresolved; no resolver link, observed 2026-06-25T22:31:07.731451Z

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Observation 025c55f5-4b78-4e01-8640-eaac1629b584 · outbound

This paper cites A globally convergent modified Newton method for the direct minimization of the Ohta–Kawasaki energy with application to the directed self-assembly of diblock copolymers.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle A globally convergent modified Newton method for the direct minimization of the Ohta–Kawasaki energy with application to the directed self-assembly of diblock copolymers

Reference 70

Resolution: unresolved; no resolver link, observed 2026-06-25T22:31:07.731451Z

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Unavailable: canonical work link unavailable.

Observation 372efa05-1a22-4f2f-8c1f-aad6ad018357 · outbound

This paper cites The discrete cosine transform.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle The discrete cosine transform

Reference 71

Resolution: unresolved; no resolver link, observed 2026-06-25T22:31:07.731451Z

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Unavailable: canonical work link unavailable.

Observation d1aeca23-6c6a-42b0-8c7f-1affa813ed6c · outbound

This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

Flexible and Stable Dynamics Discovery with Onsager's Variational Principle Fourier Neural Operator for Parametric Partial Differential Equations

Reference 72

Resolution: verified exact; local_arxiv, observed 2026-07-04T18:50:04.566213Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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