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arXiv · 2312.14323

On Nonlinear Stability of Muskat Bubbles

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

In this paper we consider gravity-capillarity Muskat bubbles in 2D. We obtain a new approach to improve our result in [25]. Due to a new bubble-adapted formulation, the improvement is two fold. We significantly condense the proof and we now obtain the global well-posedness result for Muskat bubbles in critical regularity.

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Francisco Gancedo, Eduardo García-Juárez, Neel Patel, Robert M. Strain. 2023-12-21. On Nonlinear Stability of Muskat Bubbles. https://arxiv.org/abs/2312.14323

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