From weakly interacting particles to a regularised Dean–Kawasaki model-Reference-Cited by-同舟云学术

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From weakly interacting particles to a regularised Dean–Kawasaki model

Published:2020-01-10 Issue:2 Volume:33 Page:864-891
ISSN:0951-7715
Container-title:Nonlinearity
language:
Short-container-title:Nonlinearity

Author:

Cornalba Federico^ORCID,Shardlow Tony^ORCID,Zimmer Johannes^ORCID

Funder

EPSRC Centre for Doctoral Training in Statistical Applied Mathematics at Bath

Leverhulme Trust

Publisher

IOP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://iopscience.iop.org/article/10.1088/1361-6544/ab5174/pdf

Reference28 articles.

1. Particle approximation of the Wasserstein diffusion

2. Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation

3. A Regularized Dean--Kawasaki Model: Derivation and Analysis

4. Stochastic Equations in Infinite Dimensions

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Response theory identifies reaction coordinates and explains critical phenomena in noisy interacting systems;Journal of Physics A: Mathematical and Theoretical;2024-07-25

2. Weak error analysis for a nonlinear SPDE approximation of the Dean–Kawasaki equation;Stochastics and Partial Differential Equations: Analysis and Computations;2024-03-15

3. Well-Posedness of the Dean–Kawasaki and the Nonlinear Dawson–Watanabe Equation with Correlated Noise;Archive for Rational Mechanics and Analysis;2024-03-11

4. The regularised inertial Dean–Kawasaki equation: discontinuous Galerkin approximation and modelling for low-density regime;ESAIM: Mathematical Modelling and Numerical Analysis;2023-09

5. The Dean–Kawasaki Equation and the Structure of Density Fluctuations in Systems of Diffusing Particles;Archive for Rational Mechanics and Analysis;2023-08-04

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