Solution to nonlinear gradient dependent systems with a balance law

Date

2007-11-21

Authors

Dahmani, Zoubir
Kerbal, Sebti

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Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

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

Description

Keywords

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

Citation

Dahmani, Z., & Kerbal, S. (2007). Solution to nonlinear gradient dependent systems with a balance law. <i>Electronic Journal of Differential Equations, 2007</i>(158), pp. 1-7.

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Attribution 4.0 International

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