Trend to equilibrium of renormalized solutions to reaction-cross-diffusion systems

DOI10.1016/j.aml.2018.08.011zbMath1406.35152arXiv1806.07103OpenAlexW2809661449MaRDI QIDQ1726527

Bao Quoc Tang, Esther S. Daus

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.07103

zbMATH Keywords

conservation lawsentropy methodrenormalized solutionsstrongly coupled parabolic systemsexponential time decayreaction-cross-diffusion systems

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (1)

Exponential Convergence to Equilibrium for Coupled Systems of Nonlinear Degenerate Drift Diffusion Equations

Cites Work

• Global existence of renormalized solutions to entropy-dissipating reaction-diffusion systems
• Convergence to equilibrium of renormalised solutions to nonlinear chemical reaction-diffusion systems
• A note on the uniqueness of weak solutions to a class of cross-diffusion systems
• Global existence analysis of cross-diffusion population systems for multiple species
• Well-posedness and exponential equilibration of a volume-surface reaction-diffusion system with nonlinear boundary coupling
• The existence and uniqueness of steady states for a class of chemical reaction networks
• Weak-strong uniqueness of solutions to entropy-dissipating reaction-diffusion equations
• Exponential decay toward equilibrium via entropy methods for reaction-diffusion equations
• Analysis of a parabolic cross-diffusion population model without self-diffusion
• Entropy Methods for Diffusive Partial Differential Equations
• Improved Duality Estimates and Applications to Reaction-Diffusion Equations
• Exponential Convergence to Equilibrium for Nonlinear Reaction-Diffusion Systems Arising in Reversible Chemistry
• On the Entropic Structure of Reaction-Cross Diffusion Systems
• Analysis of a Multidimensional Parabolic Population Model with Strong Cross-Diffusion
• The boundedness-by-entropy method for cross-diffusion systems
• Trend to Equilibrium for Reaction-Diffusion Systems Arising from Complex Balanced Chemical Reaction Networks
• Entropy, Duality, and Cross Diffusion

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