具有任意数量空间和时间尺度的单调抛物问题的同质化

IF 0.7 4区数学 Q4 MATHEMATICS, APPLIED Applications of Mathematics Pub Date : 2023-12-18 DOI:10.21136/AM.2023.0269-22

Tatiana Danielsson, Liselott Flodén, Pernilla Johnsen, Marianne Olsson Lindberg

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引用次数: 0

摘要

我们证明了具有任意数量微观尺度的空间和时间单调抛物线问题的一般同质化结果，其中尺度函数不一定是尺度参数ε的幂。

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Homogenization of monotone parabolic problems with an arbitrary number of spatial and temporal scales

We prove a general homogenization result for monotone parabolic problems with an arbitrary number of microscopic scales in space as well as in time, where the scale functions are not necessarily powers of the scale parameter ε. The main tools for the homogenization procedure are multiscale convergence and very weak multiscale convergence, both adapted to evolution problems.

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来源期刊

Applications of Mathematics 数学-应用数学

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Applications of Mathematics publishes original high quality research papers that are directed towards applications of mathematical methods in various branches of science and engineering. The main topics covered include: - Mechanics of Solids; - Fluid Mechanics; - Electrical Engineering; - Solutions of Differential and Integral Equations; - Mathematical Physics; - Optimization; - Probability Mathematical Statistics. The journal is of interest to a wide audience of mathematicians, scientists and engineers concerned with the development of scientific computing, mathematical statistics and applicable mathematics in general.