On Nonlinear Stability of Muskat Bubbles
Analysis of PDEs
2023-12-25 v1
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.
Keywords
Cite
@article{arxiv.2312.14323,
title = {On Nonlinear Stability of Muskat Bubbles},
author = {Francisco Gancedo and Eduardo García-Juárez and Neel Patel and Robert M. Strain},
journal= {arXiv preprint arXiv:2312.14323},
year = {2023}
}
Comments
This paper extends our results in [25] and contains structural overlap