𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Perturbation of the diffusion and upper semicontinuity of attractors

✍ Scribed by J.M. Arrieta; A.N. Carvalho; A. Rodríguez-Bernal

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
335 KB
Volume
12
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

✦ Synopsis

We obtain uniform bounds for attractors of parabolic problems with nonlinear boundary conditions with respect to perturbations in the diffusion coefficients. These bounds are the main tool to obtain continuity properties of the attractors relatively to perturbations of the diffusion coefficient. We study two examples where the diffusion is perturbed: one related to homogenization theory and the other taken from composite materials where the diffusion goes to infinity in some subdomain. (~) 1999 Elsevier Science Ltd. All rights reserved.

Keywords--Parabolic problems, Perturbation of the diffusion, Uniform bounds, Upper semicontinuity of attractors.

📜 SIMILAR VOLUMES

Upper Semicontinuity of Attractors and S
Upper Semicontinuity of Attractors and Synchronization
✍ Alexandre N Carvalho; Hildebrando M Rodrigues; Tomasz Dłotko 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 282 KB

In this paper we prove that diffusively coupled abstract semilinear parabolic systems synchronize. We apply the abstract results obtained to a class of ordinary differential equations and to reaction diffusion problems. The technique consists of proving that the attractors for the coupled differenti

Convexity and upper semicontinuity of fu
Convexity and upper semicontinuity of fuzzy sets
✍ Yu-Ru Syau; E.S. Lee; Lixing Jia 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 767 KB

Since almost all practical problems are fuzzy and approximate, fuzzy decision making becomes one of the most important practical approaches. One of the important aspects for formulating and for solving fuzzy decision problems is the concept of convexity. In this paper, we investigate the interrelati