EDP-convergence for a linear reaction-diffusion system with fast reversible reaction

DOI10.1007/s00526-021-02089-0zbMath1479.35053arXiv2012.02564OpenAlexW3201373753WikidataQ115386399 ScholiaQ115386399MaRDI QIDQ2236832

Artur Stephan

Publication date: 26 October 2021

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.02564

zbMATH Keywords

Wasserstein metricgradient flow in the space of probability measureslimit gradient system

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (1)

Cosh gradient systems and tilting

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local minimization, variational evolution and \(\Gamma\)-convergence
• Passing to the limit in a Wasserstein gradient flow: from diffusion to reaction
• The instantaneous limit for reaction-diffusion systems with a fast irreversible reaction
• On the relation between gradient flows and the large-deviation principle, with applications to Markov chains and diffusion
• On microscopic origins of generalized gradient structures
• On the Kantorovich-Rubinstein theorem
• Quasi-steady-state approximation for a reaction-diffusion system with fast intermediate
• Probabilistic representation and uniqueness results for measure-valued solutions of transport equations
• An introduction to \(\Gamma\)-convergence
• Instantaneous limits of reversible chemical reactions in presence of macroscopic convection.
• A reaction-diffusion system with fast reversible reaction.
• Nonlinear diffusion in the presence of fast reaction
• Nonsmooth analysis of doubly nonlinear evolution equations
• A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
• Effective diffusion in thin structures via generalized gradient systems and EDP-convergence
• Homogenisation of one-dimensional discrete optimal transport
• Cross-diffusion systems and fast-reaction limits
• Topologies and measures on the space of functions of bounded variation taking values in a Banach or metric space
• Fast reaction limit of a three-component reaction-diffusion system
• Macroscopic and large scale phenomena: coarse graining, mean field limits and ergodicity. Based on the presentations at the summer school, Enschede, the Netherlands, 2012
• THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
• A gradient structure for reaction–diffusion systems and for energy-drift-diffusion systems
• Coarse-graining via EDP-convergence for linear fast-slow reaction systems
• The Variational Formulation of the Fokker--Planck Equation
• Cross-Diffusion Limit for a Reaction-Diffusion System with Fast Reversible Reaction
• EDP-convergence for nonlinear fast–slow reaction systems with detailed balance*
• A gradient system with a wiggly energy and relaxed EDP-convergence
• Non-equilibrium Thermodynamical Principles for Chemical Reactions with Mass-Action Kinetics
• Gradient structures and geodesic convexity for reaction–diffusion systems
• Exploring families of energy-dissipation landscapes via tilting: three types of EDP convergence
• Fast reaction limits via \(\Gamma\)-convergence of the flux rate functional

This page was built for publication: EDP-convergence for a linear reaction-diffusion system with fast reversible reaction