In this paper, we study the behavior of the solutions of nonlinear parabolic problems posed
in a domain that degenerates into a line segment (thin domain) which has an oscillating …

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 …

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 - ScienceDirect Skip to main contentSkip to …

We analyze the dynamics of the flow generated by a nonlinear parabolic problem when
some reaction and potential terms are concentrated in a neighborhood of the boundary. We …

We consider here the family of semilinear parabolic problems {u_t (x, t) &= & Δ u (x, t)-au (x,
t)+ f (u (x, t)),\quad x ∈ Ω _ ϵ and\quad t> 0,\\displaystyle ∂ u ∂ N (x, t) &= & g (u (x …

GROMOV-HAUSDORFF STABILITY OF REACTION DIFFUSION EQUATIONS WITH ROBIN
BOUNDARY CONDITIONS UNDER PERTURBATIONS OF THE DOMAIN AND Page 1 …

This monograph presents new insights into the perturbation theory of dynamical systems
based on the Gromov-Hausdorff distance. In the first part, the authors introduce the notion of …

In this work, we consider the asymptotic behavior of the nonlinear semigroup defined by a
semilinear parabolic problem with homogeneous Neumann boundary conditions posed in a …

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 …