Global existence and asymptotic stability for a class of coupled reaction-diffusion systems on growing domains
From MaRDI portal
Publication:2035841
DOI10.1007/s10440-021-00385-7zbMath1464.35146OpenAlexW3121029091MaRDI QIDQ2035841
Redouane Douaifia, Salem Abdelmalek, Samir Bendoukha
Publication date: 25 June 2021
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-021-00385-7
Lyapunov functionreaction-diffusion systemsglobal existenceglobal asymptotic stabilityevolving domain
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items
Analysis on steady states of a competition system with nonlinear diffusion terms ⋮ Global existence of solutions to reaction diffusion systems with mass transport type boundary conditions on an evolving domain
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global classical solutions for reaction-diffusion systems with nonlinearities of exponential growth
- On a result of K. Masuda concerning reaction-diffusion equations
- Global existence for semilinear reaction-diffusion systems on evolving domains
- Global existence in reaction-diffusion systems with control of mass: a survey
- On the global existence and asymptotic behavior of solutions of reaction- diffusion equations
- Global solutions of reaction-diffusion systems
- Reaction and diffusion on growing domains: scenarios for robust pattern formation
- A diffusive logistic equation with a free boundary and sign-changing coefficient in time-periodic environment
- Stability analysis of reaction-diffusion systems with constant coefficients on growing domains
- Geometric theory of semilinear parabolic equations
- Asymptotic stability of reaction-diffusion systems in chemical reactor and combustion theory
- Note on the Lyapunov functional method
- Global bounds and asymptotics for a system of reaction-diffusion equations
- Global existence and asymptotic behavior of solutions for some coupled systems via a Lyapunov functional
- Global Existence for Semilinear Parabolic Systems
- Estimations C1 pour des problèmes paraboliques semi-linéaires
- A weak solution approach to a reaction-diffusion system modeling pattern formation on seashells
- Global Existence and Boundedness in Reaction-Diffusion Systems
- LPBounds of solutions of reaction-diffusion equations
- On the Global Existence of Solutions of a Reaction-Diffusion Equation with Exponential Nonlinearity
- A Lyapunov functional for a triangular reaction–diffusion system with nonlinearities of exponential growth
