Dahmani, ZoubirKerbal, Sebti2021-08-182021-08-182007-11-21Dahmani, Z., & Kerbal, S. (2007). Solution to nonlinear gradient dependent systems with a balance law. <i>Electronic Journal of Differential Equations, 2007</i>(158), pp. 1-7.1072-6691https://hdl.handle.net/10877/14372In 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.Text7 pages1 file (.pdf)enAttribution 4.0 InternationalReaction-diffusion systemsGlobal existenceAsymptotic behaviorMaximum principleArticle