Effective diffusion in thin structures via generalized gradient systems and EDP-convergence

DOI10.3934/dcdss.2020345zbMath1458.35039OpenAlexW3025051733MaRDI QIDQ1995423

Thomas Frenzel, Matthias Liero

Publication date: 23 February 2021

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2020345

zbMATH Keywords

Fokker-Planck equationdimension reductiongradient system\(\Gamma\)-convergencesandwich structureWasserstein gradient flowEDP-convergence

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Second-order parabolic equations (35K10) Fokker-Planck equations (35Q84)

Related Items (7)

Consistency and convergence for a family of finite volume discretizations of the Fokker–Planck operator ⋮ Evolutionary $\Gamma$-Convergence of Entropic Gradient Flow Structures for Fokker--Planck Equations in Multiple Dimensions ⋮ Exploring families of energy-dissipation landscapes via tilting: three types of EDP convergence ⋮ Cosh gradient systems and tilting ⋮ Non-equilibrium steady states as saddle points and EDP-convergence for slow-fast gradient systems ⋮ EDP-convergence for a linear reaction-diffusion system with fast reversible reaction ⋮ Dimension reduction of thermistor models for large-area organic light-emitting diodes

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