From Diffusion to Reaction via $\Gamma$-Convergence

DOI10.1137/090781474zbMath1221.35045arXiv0912.5077OpenAlexW2060448102WikidataQ59874013 ScholiaQ59874013MaRDI QIDQ2999876

Giuseppe Savaré, Marco Veneroni, Mark Adriaan Peletier

Publication date: 17 May 2011

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.5077

zbMATH Keywords

Dirichlet formsscale bridgingMosco-convergenceactivation energyhigh-energy limitdouble wellenthalpy functionKramers-Smoluchowski equationvariational evolution equations

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Methods involving semicontinuity and convergence; relaxation (49J45) Chemical kinetics in thermodynamics and heat transfer (80A30) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Variational principles of physics (49S05) Initial-boundary value problems for second-order parabolic systems (35K51) Fokker-Planck equations (35Q84)

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