Corrector results for space-time homogenization of nonlinear diffusion

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-01-19 DOI:10.2140/memocs.2022.10.171

Tomoyuki Oka

引用次数: 1

Abstract

. The present paper concerns a space-time homogenization problem for nonlinear diﬀusion equations with periodically oscillating (in space and time) coeﬃcients. Main results consist of corrector results (i.e., strong convergences of solutions with corrector terms) for gradients, diﬀusion ﬂuxes and time-derivatives without assumptions for smoothness of coeﬃcients. Proofs of the main results are based on the space-time version of the unfolding method, which is deeply concerned with the strong two-scale convergence theory.

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非线性扩散时空均匀化的校正结果

．本文研究具有周期振荡(在空间和时间上)系数的非线性扩散方程的时空均匀化问题。主要结果包括梯度、扩散通量和时间导数的校正结果(即具有校正项的解的强收敛性)，而不假设系数的平滑性。主要结果的证明是基于展开方法的时空版本，这与强双尺度收敛理论密切相关。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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