STUDY OF ODE LIMIT PROBLEMS FOR REACTION-DIFFUSION EQUATIONS

被引：9
作者：
Simsen, Jacson [1 ,2 ]
Simsen, Mariza Stefanello [1 ,2 ]
Zimmermann, Aleksandra [2 ]
机构：
[1] Univ Fed Itajuba, Inst Matemat & Comp, Ave 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 | 2018年 / 38卷 / 01期
关键词：
ODE limit problems; shadow systems; reaction-diffusion equations; parabolic problems; variable exponents; attractors; upper semicontinuity;
D O I：
10.7494/OpMath.2018.38.1.117
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work we study ODE limit problems for reaction-diffusion equations for large diffusion and we study the sensitivity of nonlinear ODEs with respect to initial conditions and exponent parameters. Moreover, we prove continuity of the flow and weak upper semicontinuity of a family of global attractors for reaction-diffusion equations with spatially variable exponents when the exponents go to 2 in L-infinity (Omega) and the diffusion coefficients go to infinity.
引用
收藏
页码：117 / 131
页数：15
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