Solution to nonlinear gradient dependent systems with a balance law

Zoubir Dahmani; Sebti Kerbal

Solution to nonlinear gradient dependent systems with a balance law

Zoubir Dahmani^*, Sebti Kerbal

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

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 u_t - 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 language	English
Pages (from-to)	1-7
Number of pages	7
Journal	Electronic Journal of Differential Equations
Volume	2007
Publication status	Published - Nov 21 2007

Keywords

Asymptotic behavior
Global existence
Maximum principle
Reaction-diffusion systems

ASJC Scopus subject areas

Analysis

Cite this

@article{ebbf047bafee44e896cf30b4e8a246d1,

title = "Solution to nonlinear gradient dependent systems with a balance law",

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.",

keywords = "Asymptotic behavior, Global existence, Maximum principle, Reaction-diffusion systems",

author = "Zoubir Dahmani and Sebti Kerbal",

year = "2007",

month = nov,

day = "21",

language = "English",

volume = "2007",

pages = "1--7",

journal = "Electronic Journal of Differential Equations",

issn = "1072-6691",

publisher = "Texas State University - San Marcos",

}

TY - JOUR

T1 - Solution to nonlinear gradient dependent systems with a balance law

AU - Dahmani, Zoubir

AU - Kerbal, Sebti

PY - 2007/11/21

Y1 - 2007/11/21

N2 - 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.

AB - 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.

KW - Asymptotic behavior

KW - Global existence

KW - Maximum principle

KW - Reaction-diffusion systems

UR - http://www.scopus.com/inward/record.url?scp=36849088474&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36849088474&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:36849088474

SN - 1072-6691

VL - 2007

SP - 1

EP - 7

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

ER -

Solution to nonlinear gradient dependent systems with a balance law

Abstract

Keywords

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this