Upscaling from particle models to entropic gradient flows
From MaRDI portal
Publication:2865486
DOI10.1063/1.4726509zbMath1280.35009OpenAlexW2024840855WikidataQ59902203 ScholiaQ59902203MaRDI QIDQ2865486
Vaios Laschos, Nicolas Dirr, Johannes Zimmer
Publication date: 29 November 2013
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: http://opus.bath.ac.uk/31043/1/Zimmer_JMP_2012_53_063704.pdf
Reaction-diffusion equations (35K57) Brownian motion (60J65) Diffusion processes (60J60) Discrete version of topics in analysis (39A12) Measures of information, entropy (94A17) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Related Items
Conservative-dissipative approximation schemes for a generalized Kramers equation ⋮ Variational approach to coarse-graining of generalized gradient flows ⋮ On the relation between gradient flows and the large-deviation principle, with applications to Markov chains and diffusion ⋮ Quadratic and rate-independent limits for a large-deviations functional ⋮ Gradient flow structure for McKean-Vlasov equations on discrete spaces
Cites Work
- From a large-deviations principle to the Wasserstein gradient flow: a new micro-macro passage
- THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
- The Variational Formulation of the Fokker--Planck Equation
- Large deviations from the mckean-vlasov limit for weakly interacting diffusions
- Variational Bayes for generalized autoregressive models
- Optimal Transport