Solution to nonlinear gradient dependent systems with a balance law

Zoubir Dahmani, Sebti Kerbal

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1 Citation (Scopus)


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
Publication statusPublished - Nov 21 2007



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

ASJC Scopus subject areas

  • Analysis

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