On some two phase problem for compressible and compressible viscous fluid flow separated by sharp interface

DOI10.3934/dcds.2016.36.3741zbMath1386.35146OpenAlexW2326059862MaRDI QIDQ262051

Kohei Soga, Takayuki Kubo, Yoshihiro Shibata

Publication date: 29 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2016.36.3741

zbMATH Keywords

regularityfree boundary problemtwo-phase flowcompressible viscous fluidlocal well-posedness theoremR-bounded solution operator

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Multiphase and multicomponent flows (76T99) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

The \(\mathcal{R}\)-bounded operator families arising from the study of the barotropic compressible flows with free surface

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