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

^*المؤلف المقابل لهذا العمل

Mathematics

نتاج البحث: المساهمة في مجلة › Article › مراجعة النظراء

1 اقتباس (Scopus)

ملخص

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.

اللغة الأصلية	English
الصفحات (من إلى)	1-7
عدد الصفحات	7
دورية	Electronic Journal of Differential Equations
مستوى الصوت	2007
حالة النشر	Published - نوفمبر 21 2007

ASJC Scopus subject areas

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الملفات والروابط الأخرى

قم بذكر هذا

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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",

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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

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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

ملخص

ASJC Scopus subject areas

الملفات والروابط الأخرى

بصمة

قم بذكر هذا