On the Two‐Dimensional Muskat Problem with Monotone Large Initial Data

From MaRDI portal
Publication:5268949

DOI10.1002/cpa.21669zbMath1457.76053arXiv1603.03949OpenAlexW2523321289MaRDI QIDQ5268949

Fan Deng, Zhen Lei, Fang-Hua Lin

Publication date: 21 June 2017

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.03949




Related Items

A note on the dissipation for the general Muskat problemGlobal well-posedness for the two-dimensional Muskat problem with slope less than 1On the dynamics of the roots of polynomials under differentiationLocalized mixing zone for Muskat bubbles and turned interfacesThe multiphase Muskat problem with equal viscosities in two dimensionsWell-posedness of the Muskat problem in subcritical Lp-Sobolev spacesThe Muskat problem with 𝐶¹ dataThe vanishing surface tension limit of the Muskat problemA paradifferential approach for well-posedness of the Muskat problemParalinearization of the Muskat equation and application to the Cauchy problemWell-posedness and stability results for some periodic Muskat problemsGlobal well-posedness for the three dimensional Muskat problem in the critical Sobolev spaceGlobal well‐posedness for the one‐phase Muskat problemThe Peskin Problem with \({\boldsymbol{\dot B^1_{\infty,\infty }}}\) Initial DataEndpoint Sobolev theory for the Muskat equationCritical local well‐posedness for the fully nonlinear Peskin problemOn well-posedness of the Muskat problem with surface tensionOn the Cauchy problem for the Muskat equation. II: Critical initial dataComputer-assisted proofs in PDE: a surveyOn the Cauchy problem for the Muskat equation with non-Lipschitz initial dataQuasilinearization of the 3D Muskat equation, and applications to the critical Cauchy problemSelf-similar solutions for the Muskat equation



Cites Work