Solution to nonlinear gradient dependent systems with a balance law

Zoubir Dahmani, Sebti Kerbal

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this paper, we are concerned with the initial boundary value problem (IBVP) and with the Cauchy problem to the reaction-diffusion system u t - Δu= -un|∇v|p ut - dΔu= -un|∇v|pwhere 1 <p <2, d and n are positive real numbers. Results on the existence and large-time behavior of the solutions are presented.

Original languageEnglish
Pages (from-to)1-7
Number of pages7
JournalElectronic Journal of Differential Equations
Volume2007
Publication statusPublished - Nov 21 2007

Fingerprint

Balance Laws
Large Time Behavior
Reaction-diffusion System
Initial-boundary-value Problem
Cauchy Problem
Gradient
Dependent

Keywords

  • Asymptotic behavior
  • Global existence
  • Maximum principle
  • Reaction-diffusion systems

ASJC Scopus subject areas

  • Analysis

Cite this

Solution to nonlinear gradient dependent systems with a balance law. / Dahmani, Zoubir; Kerbal, Sebti.

In: Electronic Journal of Differential Equations, Vol. 2007, 21.11.2007, p. 1-7.

Research output: Contribution to journalArticle

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