麝香气泡的非线性稳定性

IF 2.3 1区数学 Q1 MATHEMATICS

Journal de Mathematiques Pures et Appliquees Pub Date : 2025-02-01 DOI:10.1016/j.matpur.2025.103664

Francisco Gancedo , Eduardo García-Juárez , Neel Patel , Robert M. Strain

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引用次数: 0

摘要

本文考虑二维重力-毛细穆斯卡气泡。我们得到了一种改进b[1]结果的新方法。由于一种新的气泡适应配方，改善是双重的。我们显著地压缩了证明，得到了临界正则态Muskat泡的全局适定性结果。

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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On nonlinear stability of Muskat bubbles

In this paper we consider gravity-capillarity Muskat bubbles in 2D. We obtain a new approach to improve our result in [1]. Due to a new bubble-adapted formulation, the improvement is twofold. We significantly condense the proof and we now obtain the global well-posedness result for Muskat bubbles in critical regularity.

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来源期刊

Journal de Mathematiques Pures et Appliquees 数学-数学

CiteScore

4.30

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Published from 1836 by the leading French mathematicians, the Journal des Mathématiques Pures et Appliquées is the second oldest international mathematical journal in the world. It was founded by Joseph Liouville and published continuously by leading French Mathematicians - among the latest: Jean Leray, Jacques-Louis Lions, Paul Malliavin and presently Pierre-Louis Lions.