HOMOGENIZATION OF VARIATIONAL INEQUALITY FOR THE LAPLACE OPERATOR WITH NONLINEAR CONSTRAINT ON THE FLOW IN A DOMAIN PERFORATED BY ARBITRARY SHAPED SETS. CRITICAL CASE

T. A. Shaposhnikova; M. N. Zubova

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HOMOGENIZATION OF VARIATIONAL INEQUALITY FOR THE LAPLACE OPERATOR WITH NONLINEAR CONSTRAINT ON THE FLOW IN A DOMAIN PERFORATED BY ARBITRARY SHAPED SETS. CRITICAL CASE

机译：在任意形状集所渗透的域中，非线性约束的Laplace算子的变分不等式的均质化。关键案例

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摘要

We construct and justify a homogenized model of the variational inequality with the Laplace operator and a nonlinear boundary constraint on the flow on arbitrary shaped cavities generating perforation of the domain with critical values of parameters.

机译：我们用拉普拉斯算子构建了一个变分不等式的均质化模型，并证明了该模型的合理性，并且对在任意形状的腔体上产生非线性边界约束的流动产生了具有临界参数值的区域进行穿孔。

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《Journal of Mathematical Sciences》 |2018年第4期|573-590|共18页
作者
T. A. Shaposhnikova; M. N. Zubova;
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Lomonosov Moscow State University;

Lomonosov Moscow State University;

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正文语种 eng
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HOMOGENIZATION OF VARIATIONAL INEQUALITY FOR THE LAPLACE OPERATOR WITH NONLINEAR CONSTRAINT ON THE FLOW IN A DOMAIN PERFORATED BY ARBITRARY SHAPED SETS. CRITICAL CASE

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