On some two phase problem for compressible and compressible viscous fluid flow separated by sharp interface (Q262051)
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scientific article; zbMATH DE number 6560505
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some two phase problem for compressible and compressible viscous fluid flow separated by sharp interface |
scientific article; zbMATH DE number 6560505 |
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On some two phase problem for compressible and compressible viscous fluid flow separated by sharp interface (English)
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29 March 2016
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The authors consider a two-phase problem for flows of compressible barotropic viscous fluids without surface tension in \(\mathbb R^N\), \(N > 1\). Equations are based on conservation laws including the continuity equation. Transforming the time-dependent domain to a fixed one the authors prove local (wrt time) existence and uniqueness of a weak solution (\(L_p\) in time and \(L_q\) in space with \(p>2\) and \(q>N\)) under an assumption about the smoothness (in the Sobolev sense) of the original domain.
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free boundary problem
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two-phase flow
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compressible viscous fluid
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local well-posedness theorem
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R-bounded solution operator
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regularity
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