Local solvability of free boundary problem for viscous compressible and incompressible fluids in the spaces \({W}_p^{2+l,1+l/2} (Q_T)\), \(p > 2\) (Q2667853)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local solvability of free boundary problem for viscous compressible and incompressible fluids in the spaces \({W}_p^{2+l,1+l/2} (Q_T)\), \(p > 2\) |
scientific article |
Statements
Local solvability of free boundary problem for viscous compressible and incompressible fluids in the spaces \({W}_p^{2+l,1+l/2} (Q_T)\), \(p > 2\) (English)
0 references
2 March 2022
0 references
The author studies solvability of evolutionary free boundary problem for two phase viscous fluids of different types. The unknown domain is in \(\mathbb{R}^3\), with classical boundary conditions, including non-permeable walls, continuity of velocity at the free boundary, and the boundary itself defined as separation surface between two fluids. The authors proves existence and uniqueness of a solution locally in time in the space \(W_p^{2+l,1+l/2}\).
0 references
compressible fluids
0 references
incompressible fluids
0 references
free-boundary problem
0 references
two-liquid flow
0 references
existence and uniqueness
0 references
0 references
