含可压缩流体的非线性演化坝问题弱解的时间连续性

2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI) Pub Date : 2021-09-21 DOI:10.1109/ICRAMI52622.2021.9585927

E. Zaouche

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摘要

在这项工作中，我们考虑了与非线性达西定律控制的可压缩流体流动有关的演化坝问题的弱公式。我们证明了该问题弱解的时间连续性，这是在非均匀情况下得到的正则性结果的推广[13]。

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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Continuity in Time of Weak Solutions for the Nonlinear Evolution Dam Problem Associated With a Compressible Fluid Flow

In this work, we consider the weak formulation of the evolution dam problem related to a compressible fluid flow governed by a nonlinear Darcy’s law. We prove the continuity in time of weak solutions for this problem which represents an extension of the regularity result obtained in the heterogeneous case [13].

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2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI)

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