Problem on the motion of two compressible fluids separated by a closed free interface
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Publication:1129787
DOI10.1007/BF02673592zbMath0911.76079OpenAlexW2029594955WikidataQ114395608 ScholiaQ114395608MaRDI QIDQ1129787
Publication date: 20 August 1998
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02673592
plane interfacemethod of successive approximationsSobolev-Slobodetskij spaceslocal in time unique solvabilitymodel linear problem with
PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items (7)
On the Solvability of Free Boundary Problem for Viscous Compressible Fluids in an Infinite Time Interval ⋮ The Compressible Viscous Surface-Internal Wave Problem: Local Well-Posedness ⋮ Global solvability of the Navier-Stokes equations with a free surface in the maximal \(L_{p}-L_{q}\) regularity class ⋮ On the \(\mathcal{R}\)-boundedness for the two phase problem: compressible-incompressible model problem ⋮ Distributional equation in the limit of phase transition for fluids ⋮ Solvability in weighted Hölder spaces for a problem governing the evolution of two compressible fluids ⋮ On energy inequality for the problem on the evolution of two fluids of different types without surface tension
Cites Work
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- Two-phase free boundary problem for compressible viscous fluid motion
- Problem of the motion of two viscous incompressible fluids separated by a closed free interface
- Solvability of the linearized problem on the motion of a drop in a liquid flow
- A priori estimates of the solution of a linear time-dependent problem connected with the motion of a drop in a fluid medium
- ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE
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