Non-existence of the global attractor for a partly dissipative reaction-diffusion system with hysteresis
From MaRDI portal
Publication:2045853
DOI10.1016/j.jde.2021.07.023zbMath1471.35040OpenAlexW3191207595MaRDI QIDQ2045853
Publication date: 16 August 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2021.07.023
dynamics of forest ecosystemsexistence of a positively invariant regionLyapunov function, separation principle
Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Reaction-diffusion equations (35K57) Ecology (92D40) Hysteresis for ordinary differential equations (34C55)
Related Items (5)
How hysteresis produces discontinuous patterns in degenerate reaction–diffusion systems ⋮ Dynamics of stochastic FitzHugh–Nagumo system on unbounded domains with memory ⋮ On the robustness of discontinuous patterns in degenerate reaction-diffusion systems with perturbed hysteresis ⋮ Unnamed Item ⋮ Multi-valued random dynamics of partly dissipative reaction–diffusion system with discontinuous nonlinearity on RN
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Pattern formation in a diffusion-ODE model with hysteresis.
- Perturbations of attractors of differential equations
- Asymptotic regularity conditions for the strong convergence towards weak limit sets and weak attractors of the 3D Navier-Stokes equations
- Inertial manifolds for nonlinear evolutionary equations
- Upper semicontinuity of the attractor for a singularly perturbed hyperbolic equation
- A cross-diffusion model of forest boundary dynamics
- Global attractor of complex networks of reaction-diffusion systems of Fitzhugh-Nagumo type
- Hysteresis-driven pattern formation in reaction-diffusion-ODE systems
- Exponential attractors for Belousov-Zhabotinskii reaction model
- Pullback attractors for asymptotically compact non-autonomous dynamical systems
- Dimension estimate of attractors for complex networks of reaction-diffusion systems applied to an ecological model
- Infinite-dimensional exponential attractors for nonlinear reaction-diffusion systems in unbounded domains and their approximation
- Attractors of partial differential evolution equations and estimates of their dimension
- Inertial Manifolds for Reaction Diffusion Equations in Higher Space Dimensions
- Attractors for non-compact semigroups via energy equations
- Pattern formation in non-gradient reaction-diffusion systems: the effects of front bifurcations
- Robust exponential attractors for Cahn‐Hilliard type equations with singular potentials
- Finite-Dimensional Attractors Associated with Partly Dissipative Reaction-Diffusion Systems
- STATIONARY SOLUTIONS TO FOREST KINEMATIC MODEL
- Flattening, squeezing and the existence of random attractors
- Exponential attractors and finite-dimensional reduction for non-autonomous dynamical systems
This page was built for publication: Non-existence of the global attractor for a partly dissipative reaction-diffusion system with hysteresis