Convergence to equilibrium in energy-reaction-diffusion systems using vector-valued functional inequalities

DOI10.1007/s00332-017-9427-9zbMath1390.35156OpenAlexW2770063203WikidataQ59901671 ScholiaQ59901671MaRDI QIDQ1744128

Markus Mittnenzweig, Alexander Mielke

Publication date: 16 April 2018

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-017-9427-9

zbMATH Keywords

log-Sobolev inequalityvector-valued inequalitiesentropy functionalexponential decay of relative entropycross diffusionconvexity methodenergy-reaction-diffusion systems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (7)

Weak–strong uniqueness for energy-reaction-diffusion systems ⋮ On two coupled degenerate parabolic equations motivated by thermodynamics ⋮ Global regularity and convergence to equilibrium of reaction-diffusion systems with nonlinear diffusion ⋮ Global renormalised solutions and equilibration of reaction-diffusion systems with nonlinear diffusion ⋮ Indirect Diffusion Effect in Degenerate Reaction-Diffusion Systems ⋮ Thermoviscoelasticity in Kelvin-Voigt rheology at large strains ⋮ Global Existence Analysis of Energy-Reaction-Diffusion Systems

Uses Software

• GENERIC

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