Existence and stability of patterns in a reaction-diffusion-ODE system with hysteresis in non-uniform media

DOI10.3934/DCDS.2020400zbMath1465.35051OpenAlexW3113295243MaRDI QIDQ2030812

Izumi Takagi, Conghui Zhang

Publication date: 8 June 2021

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2020400

zbMATH Keywords

hysteresisstabilityasymptotic behaviorsteady states with jump discontinuity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Pattern formations in context of PDEs (35B36)

Related Items (8)

Discontinuous stationary solutions to certain reaction-diffusion systems ⋮ Pattern formation in a reaction-diffusion-ODE model with hysteresis in spatially heterogeneous environments ⋮ Instability of all regular stationary solutions to reaction-diffusion-ODE systems ⋮ Existence of traveling wave solutions to reaction-diffusion-ODE systems with hysteresis ⋮ Stable discontinuous stationary solutions to reaction-diffusion-ODE systems ⋮ Steady States with Jump Discontinuity in a Receptor-Based Model with Hysteresis in Higher-Dimensional Domains ⋮ Travelling wave solutions and stationary solutions of a reaction-diffusion-ODE system ⋮ Dynamics of a Reaction-diffusion-ODE System in a Heterogeneous Media

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