On hysteresis-reaction-diffusion systems: singular fast-reaction limit derivation and nonlinear hysteresis feedback

DOI10.4171/aihpc/63zbMath1526.35208arXiv1807.01357MaRDI QIDQ6075023

Klemens Fellner, Christian Münch

Publication date: 20 October 2023

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.01357

zbMATH Keywords

reaction-diffusion systempopulation dynamicshysteresis operatorfast-reaction limit

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Topological dynamics of nonautonomous systems (37B55) Equations with nonlinear hysteresis operators (47J40) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

• Unnamed Item
• Unnamed Item
• Multiple time scale dynamics
• Pattern formation in parabolic equations containing hysteresis with diffusive thresholds
• Semigroups of linear operators and applications to partial differential equations
• Geometric theory of semilinear parabolic equations
• Differential models of hysteresis
• The diffusion of a population partly driven by its preferences
• Global existence and Hadamard differentiability of hysteresis reaction-diffusion systems
• Hysteresis and phase transitions
• Optimal control of ODE systems involving a rate independent variational inequality
• Schauder estimate for solutions of Poisson's equation with Neumann boundary condition
• Asymptotics of sign-changing patterns in hysteretic systems with diffusive thresholds
• Reaction-Diffusion Equations with Spatially Distributed Hysteresis
• Memory Effects in Population Dynamics : Spread of Infectious Disease as a Case Study
• Hysteresis models and gravity fingering in porous media
• Systems of reaction-diffusion equations with spatially distributed hysteresis
• Generalized Play Hysteresis Operators in Limits of Fast-Slow Systems
• Hölder estimates for parabolic operators on domains with rough boundary

This page was built for publication: On hysteresis-reaction-diffusion systems: singular fast-reaction limit derivation and nonlinear hysteresis feedback