On the existence of weak solutions of nonlinear degenerate parabolic system with variable exponents

被引：6

作者：

Shangerganesh, L. ^{[1
]}

Nyamoradi, N. ^{[2
]}

Mani, V. N. Deiva ^{[3
]}

Karthikeyan, S. ^{[3
]}

机构：

[1] Natl Inst Technol, Dept Humanities & Sci, Farmagudi, Goa, India

[2] Razi Univ, Dept Math, Kermanshah 67149, Iran

[3] Periyar Univ, Dept Math, Salem, India

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2018年 / 75卷 / 01期

关键词：

Cancer invasion parabolic system; Weak solution; Faedo-Galerkin method; CHEMOTAXIS-HAPTOTAXIS MODEL; REACTION-DIFFUSION MODEL; CLASSICAL-SOLUTIONS; GLOBAL EXISTENCE; RENORMALIZED SOLUTIONS; MATHEMATICAL-MODEL; BLOW-UP; UNIQUENESS; EQUATIONS; INVASION;

D O I：

10.1016/j.camwa.2017.09.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main goal of the present paper is establishing the existence and uniqueness of weak solutions for the nonlinear degenerate reaction-diffusion system with variable exponents. A model also is proposed to characterize the invasion of cancer cells towards healthy cells with acidification environment. Moreover, the main results of this paper are obtained using regularization problem, the Faedo-Galerkin approximation method, some apriori estimates, compactness results and the Gronwall Lemma. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：322 / 334

页数：13

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