[HTML][HTML] Gromov-Hausdorff stability of global attractors of reaction diffusion equations under perturbations of the domain

J Lee, N Nguyen, VM Toi - Journal of Differential Equations, 2020 - Elsevier
In this paper, we use the Gromov-Hausdorff distances between two global attractors (which
belong to disjoint phase spaces) and two dynamical systems to consider the continuous …

Topological stability of Chafee-Infante equations under Lipschitz perturbations of the domain and equation

J Lee, N Nguyen - Journal of Mathematical Analysis and Applications, 2023 - Elsevier
In this paper we study the dynamics of Chafee-Infante equations under Lipschitz
perturbations of the domain and equation. First, we describe the geometric equivalence …

Gromov-Hausdorff stability of reaction diffusion equations with Neumann boundary conditions under perturbations of the domain

J Lee - Journal of Mathematical Analysis and Applications, 2021 - Elsevier
Gromov-Hausdorff stability of reaction diffusion equations with Neumann boundary
conditions under perturbations of the domain - ScienceDirect Skip to main contentSkip to …

Gromov-Hausdorff stability of reaction diffusion equations with Robin boundary conditions under perturbations of the domain and equation.

J Lee, NT Nguyen - Communications on Pure & Applied …, 2021 - search.ebscohost.com
GROMOV-HAUSDORFF STABILITY OF REACTION DIFFUSION EQUATIONS WITH ROBIN
BOUNDARY CONDITIONS UNDER PERTURBATIONS OF THE DOMAIN AND Page 1 …

On the non-isothermal, non-Newtonian Hele-Shaw flows in a domain with rough boundary

JC Nakasato, I Pažanin, MC Pereira - Journal of mathematical analysis and …, 2023 - Elsevier
In this paper, we investigate the roughness-induced effects on the nonlinear system
describing the non-isothermal Hele-Shaw flow of a non-Newtonian fluid. Allowing different …

Nonlocal problems in perforated domains

MC Pereira, JD Rossi - Proceedings of the Royal Society of …, 2020 - cambridge.org
In this paper, we analyse nonlocal equations in perforated domains. We consider nonlocal
problems of the form weakly* in L∞(Ω), we analyse the limit as ε→ 0 of the solutions to the …

Gromov–Hausdorff stability of global attractors for 3D Brinkman–Forchheimer equations

C Ai, Z Tan - Mathematical Methods in the Applied Sciences, 2022 - Wiley Online Library
In this paper, using the Gromov–Hausdorff distances between two global attractors (which
may be in disjoint phase spaces) and two semi‐dynamical systems introduced by Lee et …

Gromov–Hausdorff stability of global attractors for the 3D Navier–Stokes equations with damping

Z Tao, XG Yang, A Miranville, D Li - Zeitschrift für angewandte Mathematik …, 2024 - Springer
This paper is concerned with the Gromov–Hausdorff stability of global attractors for the 3D
Navier–Stokes equations with damping under variations of the domain, which describes the …

Gromov-Hausdorff stability of global attractors for the 3D incompressible Navier-Stokes-Voigt equations

D Wang, XG Yang, A Miranville… - Discrete and Continuous …, 2024 - aimsciences.org
The structure stability from the Gromov-Hausdorff viewpoint can be used to describe the
continuity of complete trajectories inside global attractors for nonlinear evolutionary partial …

[PDF][PDF] Continuity of attractors for C^ 1 perturbations of a smooth domain

PS Barbosa, AL Pereira - 2020 - digital.library.txstate.edu
We consider a family of semilinear parabolic problems with non-linear boundary conditions
ut (x, t)=∆ u (x, t)-αu (x, t)+ ƒ (u (x, t)), x∈ Ωɛ, t> 0,∂ u/∂ N (x, t)= g (u (x, t)), x∈∂ Ωɛ, t> 0 …