非线性双曲抛物型方程的多尺度均匀化

Pub Date : 2022-06-17 DOI:10.21136/AM.2022.0160-21

Abdelhakim Dehamnia, Hamid Haddadou

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引用次数: 1

摘要

本文的主要目的是研究当ε→ 0）在具有多个空间尺度和一个时间尺度的周期异质域中给出的一个非线性双曲-抛物型问题的解。在对问题系数的某些假设下，基于先验估计和紧致性结果，我们使用多尺度收敛方法建立了均匀化结果。

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Multiscale homogenization of nonlinear hyperbolic-parabolic equations

The main purpose of the present paper is to study the asymptotic behavior (when ε → 0) of the solution related to a nonlinear hyperbolic-parabolic problem given in a periodically heterogeneous domain with multiple spatial scales and one temporal scale. Under certain assumptions on the problem’s coefficients and based on a priori estimates and compactness results, we establish homogenization results by using the multiscale convergence method.

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