𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Existence results of steady-states of semilinear reaction-diffusion equations and their applications

✍ Scribed by C.Y. Chan; Man Kam Kwong

Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
812 KB
Volume
77
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Global Existence and Stability of Soluti
Global Existence and Stability of Solutions for Reaction Diffusion Functional Differential Equations
✍ Mengxing He πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 181 KB

In this article, a class of reaction diffusion functional differential equations is investigated. The global existence and uniqueness of solutions and the stability of the trivial solution are obtained. Some applications are also discussed. The method proposed in this article is a combination of the

Existence of Positive Stationary Solutio
Existence of Positive Stationary Solutions and Threshold Results for a Reaction–Diffusion System
✍ Yonggeng Gu; Mingxin Wang πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 453 KB

The system u 1t &2u 1 =u 1 u 2 &bu 1 , u 2t &2u 2 =au 1 in 0\_(0, T), where 0/R n is a smooth bounded domain, with homogeneous Dirichlet boundary conditions u 1 = u 2 =0 on 0\_(0, T) and initial conditions u 1 (x, 0), u 2 (x, 0), is studied. First, it is proved that there is at least one positive st

Global Attractors and Steady State Solut
Global Attractors and Steady State Solutions for a Class of Reaction–Diffusion Systems
✍ Le Dung πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 413 KB

We show that weak L p dissipativity implies strong L dissipativity and therefore implies the existence of global attractors for a general class of reaction diffusion systems. This generalizes the results of Alikakos and Rothe. The results on positive steady states (especially for systems of three eq