The Muskat problem with surface tension and equal viscosities in subcritical \(L_p\)-Sobolev spaces

DOI10.1007/s41808-021-00104-1zbMath1479.35965arXiv2010.12261OpenAlexW3175095952MaRDI QIDQ2061644

Anca-Voichita Matioc, Bogdan-Vasile Matioc

Publication date: 16 December 2021

Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.12261

zbMATH Keywords

singular integralsurface tensionMuskat problemquasilinear parabolic evolution equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial value problems for second-order parabolic equations (35K15) Other free boundary flows; Hele-Shaw flows (76D27) Moving boundary problems for PDEs (35R37) Quasilinear parabolic equations (35K59)

Related Items

A new reformulation of the Muskat problem with surface tension

Cites Work

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