Chemical Reactions as $\Gamma$-Limit of Diffusion

DOI10.1137/110858781zbMath1252.35037OpenAlexW2153464851WikidataQ59873994 ScholiaQ59873994MaRDI QIDQ2902838

Marco Veneroni, Giuseppe Savaré, Mark Adriaan Peletier

Publication date: 22 August 2012

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/110858781

zbMATH Keywords

Mosco convergenceDirichlet formsupscalinghigh-energy limitscale-bridgingKramers formulaKramers-Smoluchowski equationvariational evolution equations

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Brownian motion (60J65) Methods involving semicontinuity and convergence; relaxation (49J45) Chemical kinetics in thermodynamics and heat transfer (80A30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Variational principles of physics (49S05) Fokker-Planck equations (35Q84)

Related Items

Gamma-convergence of a gradient-flow structure to a non-gradient-flow structure, Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows, A sparse Markov chain approximation of LQ-type stochastic control problems., On microscopic origins of generalized gradient structures, About small eigenvalues of the Witten Laplacian, Analysis of the spatio-temporal scales of laminar premixed flames near equilibrium, Asymptotics for scaled Kramers-Smoluchowski equations in several dimensions with general potentials, Hysteresis and phase transitions in a lattice regularization of an ill-posed forward-backward diffusion equation, A Semiclassical Approach to the Kramers--Smoluchowski Equation, Asymptotics for Scaled Kramers--Smoluchowski Equations