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arXiv · 2505.05165

Sharp asymptotic stability of the incompressible porous media equation

Roberta Bianchini·Min Jun Jo·Jaemin Park·Shan Wang
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Abstract

In this paper, we prove the asymptotic stability of the incompressible porous media (IPM) equation near a stable stratified density, for initial perturbations in the Sobolev space $H^k$ with any $2 2$.

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Roberta Bianchini, Min Jun Jo, Jaemin Park, Shan Wang. 2025-05-08. Sharp asymptotic stability of the incompressible porous media equation. https://arxiv.org/abs/2505.05165

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