Unidirectional Entropic Solutions of the Pressureless Euler Alignment System | Paper Citation Record

Observation ea4a73a7-2290-4f42-b0cc-0fe875251184 · outbound

This paper cites A general chain rule for distributional derivatives.Proc.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System A general chain rule for distributional derivatives.Proc

Reference 1

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Observation 372e3b15-5ad7-4043-9712-8d70d7de6692 · outbound

This paper cites Singularity formation for the fractional Euler-alignment system in 1D.Trans.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Singularity formation for the fractional Euler-alignment system in 1D.Trans

Reference 2

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Observation 7dc48f75-a3a5-4c90-9233-a02faeca424e · outbound

This paper cites On the sticky particle solutions to the multi-dimensional pressureless Euler equations.J.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System On the sticky particle solutions to the multi-dimensional pressureless Euler equations.J

Reference 3

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Observation 20b816ba-0b8f-42d8-b7ab-13805561610e · outbound

This paper cites One-dimensional transport equations with discontinuous coefficients.Nonlinear Anal., 32(7):891–933, 1998.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System One-dimensional transport equations with discontinuous coefficients.Nonlinear Anal., 32(7):891–933, 1998

Reference 4

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Observation b3202088-24a1-4429-9df3-5e89175c69e5 · outbound

This paper cites Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness.Comm.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness.Comm

Reference 5

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Observation 2aad387f-47db-43db-ab70-7bb8b581eca5 · outbound

This paper cites Kruˇzkov’s estimates for scalar conservation laws revisited.Trans.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Kruˇzkov’s estimates for scalar conservation laws revisited.Trans

Reference 6

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Observation bfdff24a-82b5-4268-97b7-0cbd6de9b1ef · outbound

This paper cites Sticky particle dynamics with interactions.J.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Sticky particle dynamics with interactions.J

Reference 7

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Observation 1566a759-ac94-4f4b-9fba-2f69e6f327f2 · outbound

This paper cites Sticky particles and scalar conservation laws.SIAM J.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Sticky particles and scalar conservation laws.SIAM J

Reference 8

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Observation 4816de9d-c990-4283-8338-45a50b24dd24 · outbound

This paper cites Carrillo, Young-Pil Choi, and Sergio P.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Carrillo, Young-Pil Choi, and Sergio P

Reference 9

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Observation e4c71e6b-4ab8-4146-947f-72b9cabd3dec · outbound

This paper cites Carrillo, Young-Pil Choi, Eitan Tadmor, and Changhui Tan.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Carrillo, Young-Pil Choi, Eitan Tadmor, and Changhui Tan

Reference 10

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Observation 4acb78c8-bf92-4709-a3f8-0daed18d8f32 · outbound

This paper cites Equivalence of entropy solutions and gradient flows for pressureless 1D Euler systems.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Equivalence of entropy solutions and gradient flows for pressureless 1D Euler systems

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-07-03T07:07:44.489803Z

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Observation 82d431fb-421b-4294-ba78-e7b082c1fbf3 · outbound

This paper cites Lagrangian formulation and Eulerian closure in alignment dynamics.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Lagrangian formulation and Eulerian closure in alignment dynamics

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-07-03T07:07:44.492279Z

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Observation 40d01cfe-09c4-403d-8b2f-e023e4777afe · outbound

This paper cites A simple proof of global existence for the 1D pressureless gas dynamics equations.SIAM J.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System A simple proof of global existence for the 1D pressureless gas dynamics equations.SIAM J

Reference 13

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Observation 47b21c58-ba87-40dc-a6b0-4a84c615a56d · outbound

This paper cites Emergent behavior in flocks.IEEE Trans.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Emergent behavior in flocks.IEEE Trans

Reference 14

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Observation b0e06446-2633-440c-a646-cba3fca28549 · outbound

This paper cites On the mathematics of emergence.Jpn.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System On the mathematics of emergence.Jpn

Reference 15

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Observation 1bb5ac48-479b-43d2-b030-dbf48a1d8c8f · outbound

This paper cites Mucha, Jan Peszek, and Bartosz Wr´oblewski.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Mucha, Jan Peszek, and Bartosz Wr´oblewski

Reference 16

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Observation 969d7d0d-270a-4e33-9e8a-550687a46bc3 · outbound

This paper cites On Cucker-Smale dynamical systems with degenerate communication.Anal.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System On Cucker-Smale dynamical systems with degenerate communication.Anal

Reference 17

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Observation 1e68e41e-6a52-459c-87f8-95d4c805b35e · outbound

This paper cites Global regularity for the fractional Euler Alignment system.Arch.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Global regularity for the fractional Euler Alignment system.Arch

Reference 18

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Observation 20eae55b-1dde-4c14-a676-e3bb4185199c · outbound

This paper cites Rykov, and Ya G.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Rykov, and Ya G

Reference 19

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Observation 7cf8f9bb-1891-4b3b-a7e3-608539a6b660 · outbound

This paper cites A rigorous derivation from the kinetic Cucker-Smale model to the pressureless Euler system with nonlocal align- ment.Anal.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System A rigorous derivation from the kinetic Cucker-Smale model to the pressureless Euler system with nonlocal align- ment.Anal

Reference 20

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Observation 4917c1f2-aa39-4ec7-b4f6-204103408943 · outbound

This paper cites The sticky particle dynamics of the 1D pressureless Euler-alignment system as a gradient flow.Appl.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System The sticky particle dynamics of the 1D pressureless Euler-alignment system as a gradient flow.Appl

Reference 21

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Observation ee41a19b-f1b4-4290-9239-5a318641c8b0 · outbound

This paper cites Existence globale pour le syst `eme des gaz sans pression.C.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Existence globale pour le syst `eme des gaz sans pression.C

Reference 22

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Observation 147cf93d-dd52-4b01-86d6-ed1ced9d0a4a · outbound

This paper cites A global unique solvability of entropic weak solution to the one-dimensional pressureless Euler system with a flocking dissipation.J.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System A global unique solvability of entropic weak solution to the one-dimensional pressureless Euler system with a flocking dissipation.J

Reference 23

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Observation 8c39deca-8935-4810-8f06-daea49eacbfa · outbound

This paper cites Complete cluster predictability of the Cucker-Smale flocking model on the real line.Arch.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Complete cluster predictability of the Cucker-Smale flocking model on the real line.Arch

Reference 24

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Observation b33bb88c-857e-491f-9a7a-707f2f17fc54 · outbound

This paper cites A simple proof of the Cucker-Smale flocking dynamics and mean-field limit.Commun.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System A simple proof of the Cucker-Smale flocking dynamics and mean-field limit.Commun

Reference 25

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Observation 5a237c50-82e5-47d6-8c1e-0ab40cd02b19 · outbound

This paper cites A first-order reduction of the Cucker-Smale model on the real line and its clustering dynamics.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System A first-order reduction of the Cucker-Smale model on the real line and its clustering dynamics

Reference 26

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Observation 5b6d0f0c-742f-45e3-bffb-7d3430db3890 · outbound

This paper cites From particle to kinetic and hydrodynamic descriptions of flocking.Kinet.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System From particle to kinetic and hydrodynamic descriptions of flocking.Kinet

Reference 27

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Observation 861f627b-f1d8-421c-a9b6-653b85848c30 · outbound

This paper cites Global regularity of two-dimensional flocking hydrodynamics.C.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Global regularity of two-dimensional flocking hydrodynamics.C

Reference 28

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Observation a2da35c7-994d-49d4-8555-8c32420d57f6 · outbound

This paper cites Well posedness for pressureless flow.Comm.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Well posedness for pressureless flow.Comm

Reference 29

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Observation 5ff759d2-d36f-428e-8a30-ff41f56f90a7 · outbound

This paper cites Lagrangian coordinates for the sticky particle system.SIAM J.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Lagrangian coordinates for the sticky particle system.SIAM J

Reference 30

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Observation bda28212-166f-4407-8834-7f5437f5d22d · outbound

This paper cites Probability measures on the path space and the sticky particle system.Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, XXI(5):1333–1357, 2020.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Probability measures on the path space and the sticky particle system.Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, XXI(5):1333–1357, 2020

Reference 31

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Observation e115bc18-8f60-4493-b187-dd5c4787da4f · outbound

This paper cites A trajectory map for the pressureless Euler equations.Trans.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System A trajectory map for the pressureless Euler equations.Trans

Reference 32

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Observation 07f4e122-4c63-411f-8312-ad41be7fdba8 · outbound

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Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Unresolved cited work

Reference 33

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Observation db7340e6-cd38-477b-bff0-c9b406447318 · outbound

This paper cites Karper, Antoine Mellet, and Konstantina Trivisa.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Karper, Antoine Mellet, and Konstantina Trivisa

Reference 34

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Observation e641577c-568c-4e38-be44-0a4ec9bc7a26 · outbound

This paper cites Karper, Antoine Mellet, and Konstantina Trivisa.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Karper, Antoine Mellet, and Konstantina Trivisa

Reference 35

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Observation e84ef280-7f85-4086-875e-851d401334ee · outbound

This paper cites Karper, Antoine Mellet, and Konstantina Trivisa.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Karper, Antoine Mellet, and Konstantina Trivisa

Reference 36

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Observation 1e6dfb1f-ad05-47c6-98a2-14e682ab47d7 · outbound

This paper cites Global regularity for 1D Eulerian dynamics with singular interaction forces.SIAM J.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Global regularity for 1D Eulerian dynamics with singular interaction forces.SIAM J

Reference 37

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Observation 71ad157f-2eff-4a7e-8e3e-b55a75a73606 · outbound

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Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Unresolved cited work

Reference 38

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Observation 23436034-6e37-488a-84d6-473ab86831dd · outbound

This paper cites Global existence and limiting behavior of unidirectional flocks for the fractional Euler alignment system.SIAM J.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Global existence and limiting behavior of unidirectional flocks for the fractional Euler alignment system.SIAM J

Reference 39

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Observation cebddef5-63d6-4fbf-8166-1674cb8a9cf2 · outbound

This paper cites Leslie, Roman Shvydkoy, and Eitan Tadmor.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Leslie, Roman Shvydkoy, and Eitan Tadmor

Reference 40

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Observation 0c228e82-6094-4cf6-9d6b-b54b4150b8a8 · outbound

This paper cites Unidirectional flocks in hydrodynamic Euler alignment system II: Singular models.Commun.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Unidirectional flocks in hydrodynamic Euler alignment system II: Singular models.Commun

Reference 41

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Observation 6ddd8391-8e71-4231-96e0-b5d5fbf8f53d · outbound

This paper cites Existence and stability of unidirectional flocks in hydrodynamic Euler alignment systems.Anal.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Existence and stability of unidirectional flocks in hydrodynamic Euler alignment systems.Anal

Reference 42

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Observation 86302013-5c72-4e91-afa6-9d370374e8a9 · outbound

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Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Unresolved cited work

Reference 43

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Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Unresolved cited work

Reference 44

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Observation efc60ea9-5249-4e78-88fe-952fc7931a5c · outbound

This paper cites Leslie and Roman Shvydkoy.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Leslie and Roman Shvydkoy

Reference 45

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Observation 38fa87e8-94bf-47f9-91f7-7da6c1975a51 · outbound

This paper cites Leslie and Changhui Tan.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Leslie and Changhui Tan

Reference 46

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Observation 61700c03-8076-4334-a218-675b20852d4d · outbound

This paper cites Leslie and Changhui Tan.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Leslie and Changhui Tan

Reference 47

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Observation 4074c8ca-e0dd-44f9-ab03-da5767df577d · outbound

This paper cites Global well-posedness and refined regularity criterion for the uni-directional Euler-alignment system.Int.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Global well-posedness and refined regularity criterion for the uni-directional Euler-alignment system.Int

Reference 48

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Observation 11611868-47b2-42ac-8052-78ff767f5829 · outbound

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Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Unresolved cited work

Reference 49

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Observation 767dc31e-c31b-4d5b-8bd4-2b7da2ea7278 · outbound

This paper cites Flocking With Short-Range Interactions.J.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Flocking With Short-Range Interactions.J

Reference 50

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Observation 59d74186-7bd9-479e-b28a-a35c6c75f537 · outbound

This paper cites Heterophilious dynamics enhances consensus.SIAM Rev., 56(4):577–621, 2014.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Heterophilious dynamics enhances consensus.SIAM Rev., 56(4):577–621, 2014

Reference 51

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Observation 0e1ad310-7703-4509-8eb9-f521d6096b17 · outbound

This paper cites A Wasserstein approach to the one-dimensional sticky particle system.SIAM J.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System A Wasserstein approach to the one-dimensional sticky particle system.SIAM J

Reference 52

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Observation f33b3ac5-1cdd-4565-b24a-2fa03090791c · outbound

This paper cites Pressureless Euler/Euler–Poisson systems via adhesion dynamics and scalar conservation laws.SIAM J.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Pressureless Euler/Euler–Poisson systems via adhesion dynamics and scalar conservation laws.SIAM J

Reference 53

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Observation a47aadb5-295d-42fe-b211-c548db327cdf · outbound

This paper cites One-dimensional pressureless gas systems with/without viscosity.Comm.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System One-dimensional pressureless gas systems with/without viscosity.Comm

Reference 54

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Observation 624bdad4-d2ac-4d17-be94-923a8de01072 · outbound

This paper cites Global existence and stability of nearly aligned flocks.Journal of Dynamics and Differential Equations, Aug 2018.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Global existence and stability of nearly aligned flocks.Journal of Dynamics and Differential Equations, Aug 2018

Reference 55

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Observation d666ec2f-253c-40b5-81a0-740e9761284b · outbound

This paper cites Birkh¨auser Basel, 2021.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Birkh¨auser Basel, 2021

Reference 56

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Observation 9e6a6b55-727c-4a50-b7fc-677f75ff31ba · outbound

This paper cites Environmental averaging.EMS Surv.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Environmental averaging.EMS Surv

Reference 57

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Observation 405f598e-763d-480c-860a-3a0c3ff5733e · outbound

This paper cites Eulerian dynamics with a commutator forcing.Transactions of Mathematics and Its Applications, 1(1), 2017.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Eulerian dynamics with a commutator forcing.Transactions of Mathematics and Its Applications, 1(1), 2017

Reference 58

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Observation 50a4e296-4fc4-4208-a8cc-35dd069d9aac · outbound

This paper cites Eulerian dynamics with a commutator forcing II: Flocking.Discrete Contin.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Eulerian dynamics with a commutator forcing II: Flocking.Discrete Contin

Reference 59

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Observation aa4bdd00-7d08-4b4a-a5d3-cc655a5eef7e · outbound

This paper cites Eulerian dynamics with a commutator forcing III.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Eulerian dynamics with a commutator forcing III

Reference 60

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Observation 6de5a8bf-faaf-4498-9134-4d7c3afc79a7 · outbound

This paper cites Topologically based fractional diffusion and emergent dynamics with short-range interactions.SIAM Journal on Mathematical Analysis, 52(6):5792–5839, 2020.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Topologically based fractional diffusion and emergent dynamics with short-range interactions.SIAM Journal on Mathematical Analysis, 52(6):5792–5839, 2020

Reference 61

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Observation ebe6bc38-df52-40b1-8fce-385498349808 · outbound

This paper cites On the mathematics of swarming: Emergent behavior in alignment dynamics.Notices of the AMS, 68(4):493–503, 2021.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System On the mathematics of swarming: Emergent behavior in alignment dynamics.Notices of the AMS, 68(4):493–503, 2021

Reference 62

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Observation faf9e603-b58a-41d5-80cf-877536460692 · outbound

This paper cites Decrease of entropy and emergence of order in collective dynamics.Commun.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Decrease of entropy and emergence of order in collective dynamics.Commun

Reference 63

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Observation 47c1a67e-23a4-44d0-9d74-eb20c29e36df · outbound

This paper cites Critical thresholds in flocking hydrodynamics with non-local alignment.Philos.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Critical thresholds in flocking hydrodynamics with non-local alignment.Philos

Reference 64

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Observation ffd43769-c15c-4092-901a-3371a138b587 · outbound

This paper cites On the Euler-alignment system with weakly singular communication weights.Nonlinearity, 33(4):1907–1924, 2020.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System On the Euler-alignment system with weakly singular communication weights.Nonlinearity, 33(4):1907–1924, 2020

Reference 65

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Observation 5d386215-a59f-4735-8d5c-2ce77516c404 · outbound

This paper cites Eulerian dynamics in multi-dimensions with radial symmetry.SIAM J.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Eulerian dynamics in multi-dimensions with radial symmetry.SIAM J

Reference 66

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Observation 74d67494-18c6-41d9-9db4-06819d2a45ac · outbound

This paper cites Uniqueness of generalized solution for the Cauchy problem of transportation equations.Acta Math.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Uniqueness of generalized solution for the Cauchy problem of transportation equations.Acta Math

Reference 67

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Observation eae932a5-a548-47f0-a5e4-980166ad8cfe · outbound

This paper cites On the Cauchy problem of transportation equations.Acta Math.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System On the Cauchy problem of transportation equations.Acta Math

Reference 68

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Observation 380c54fb-8d71-47bb-b846-640ddf5f1ba6 · outbound

This paper cites an unresolved cited work.

Unidirectional Entropic Solutions of the Pressureless Euler Alignment System Unresolved cited work

Reference 69

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