Gromov-Hausdorff stability of global attractors of reaction diffusion equations under perturbations of the domain
From MaRDI portal
Publication:1986500
DOI10.1016/j.jde.2019.11.097zbMath1436.35049OpenAlexW2996670842WikidataQ126562025 ScholiaQ126562025MaRDI QIDQ1986500
Vu Manh Toi, Jihoon Lee, Ngoc-Thach Nguyen
Publication date: 8 April 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2019.11.097
Attractors (35B41) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Equations in function spaces; evolution equations (58D25)
Related Items (9)
Global attractors of generic reaction diffusion equations under Lipschitz perturbations ⋮ Structural stability and rate of convergence of global attractors ⋮ Gromov-Hausdorff stability of global attractors for the 3D Navier-Stokes equations with damping ⋮ Gromov–Hausdorff stability of global attractors for 3D Brinkman–Forchheimer equations ⋮ Gromov-Hausdorff stability of inertial manifolds under perturbations of the domain and equation ⋮ Gromov-Hausdorff stability of reaction diffusion equations with Neumann boundary conditions under perturbations of the domain ⋮ Gromov-Hausdorff stability of reaction diffusion equations with Robin boundary conditions under perturbations of the domain and equation ⋮ Isometric vector fields from the Gromov-Hausdorff viewpoint ⋮ Topological stability of Chafee-Infante equations under Lipschitz perturbations of the domain and equation
Cites Work
- Attractors for a nonlinear parabolic problem with terms concentrating on the boundary
- Topological stability from Gromov-Hausdorff viewpoint
- Dynamics in Dumbbell domains. I: Continuity of the set of equilibria
- Dynamics in dumbbell domains. II: The limiting problem
- Dynamics in dumbbell domains III. Continuity of attractors
- Continuous dependence of attractors on the shape of domain
- Topological structural stability of partial differential equations on projected spaces
- Spectral convergence and nonlinear dynamics of reaction-diffusion equations under perturbations of the domain
- Continuity of attractors for a family of \(\mathcal {C}^1\) perturbations of the square
- The existence of global attractors for the norm-to-weak continuous semigroup and application to the nonlinear reaction-diffusion equations
- Continuity of attractors for a reaction-diffusion problem with nonlinear boundary conditions with respect to variations of the domain
- On the continuity of global attractors
- On quasi-metric and metric spaces
- Attractors for reaction-diffusion equations: existence and estimate of their dimension
- Unnamed Item
- Unnamed Item
This page was built for publication: Gromov-Hausdorff stability of global attractors of reaction diffusion equations under perturbations of the domain