REACTION-DIFFUSION COUPLED INCLUSIONS WITH VARIABLE EXPONENTS AND LARGE DIFFUSION

被引：4

作者：

Simsen, Jacson ^{[1
]}

Simsen, Mariza Stefanello ^{[1
]}

Wittbold, Petra ^{[2
]}

机构：

[1] Univ Fed Itajuba, Inst Matemat & Comp, Av BPS 1303, BR-37500903 Itajuba, MG, Brazil

[2] Univ Duisburg Essen, Fak Math, Thea Leymann Str 9, D-45127 Essen, Germany

来源：

OPUSCULA MATHEMATICA | 2021年 / 41卷 / 04期

关键词：

reaction-diffusion coupled systems; variable exponents; attractors; upper semicontinuity; large diffusion; LAPLACIAN DIFFERENTIAL-INCLUSIONS; ODE LIMIT PROBLEMS; UPPER SEMICONTINUITY; GLOBAL ATTRACTORS; ASYMPTOTIC-BEHAVIOR; PARABOLIC PROBLEMS; EXISTENCE; SYSTEMS; CONTINUITY; EQUATIONS;

D O I：

10.7494/OpMath.2021.41.4.539

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work concerns the study of asymptotic behavior of coupled systems of p(x)-Laplacian differential inclusions. We obtain that the generalized semiflow generated by the coupled system has a global attractor, we prove continuity of the solutions with respect to initial conditions and a triple of parameters and we prove upper semicontinuity of a family of global attractors for reaction-diffusion systems with spatially variable exponents when the exponents go to constants greater than 2 in the topology of L-infinity (Omega) and the diffusion coefficients go to infinity.

引用

页码：539 / 570

页数：32

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