𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Global Solutions of Reaction–Diffusion Systems with a Balance Law and Nonlinearities of Exponential Growth

✍ Scribed by J.I. Kanel; M. Kirane


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
150 KB
Volume
165
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Global existence of solutions to reactio
✍ Said Kouachi 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 97 KB

It is well known that, for reaction-diffusion systems, if the nonlinearities grow faster than a polynomial, nothing seems to be known for instance. The purpose of this paper is to give sufficient conditions guaranteeing global existence, uniqueness and uniform boundedness of solutions for coupled re

Global Attractors and Steady State Solut
✍ Le Dung 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 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

Pointwise a priori bounds for a strongly
✍ Jacob Isaac Kanel; Mokhtar Kirane 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 89 KB 👁 2 views

We consider a reaction-diffusion system with a full matrix of diffusion coefficients satisfying a balance law on a bounded domain with no-flux boundary conditions. We demonstrate that global solutions exist for polynomial reaction terms provided some conditions on the diffusion coefficients are sati

Global solutions with shock waves to the
✍ Zhi-Qiang Shao 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 265 KB 👁 1 views

## Abstract This work is a continuation of our previous work. In the present paper, we study the existence and uniqueness of global piecewise __C__^1^ solutions with shock waves to the generalized Riemann problem for general quasilinear hyperbolic systems of conservation laws with linear damping in