Global \(L_{2}\)-solvability of a problem governing two-phase fluid motion without surface tension

DOI10.4171/PM/1938zbMath1293.35200OpenAlexW1993232590MaRDI QIDQ2452050

Irina V. Denisova

Publication date: 28 May 2014

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/pm/1938

zbMATH Keywords

Lagrangian coordinatesNavier-Stokes systemincompressible fluidsSobolev-Slobodetskiĭ spacestwo-phase problem with unknown interface

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Free boundary problems for PDEs (35R35) Liquid-gas two-phase flows, bubbly flows (76T10)

Related Items (4)

On the Solvability of Free Boundary Problem for Viscous Compressible Fluids in an Infinite Time Interval ⋮ \(L_2\)-theory for two incompressible fluids separated by a free interface ⋮ On the solvability of initial-boundary value problems for a viscous compressible fluid in an infinite time interval ⋮ On energy inequality for the problem on the evolution of two fluids of different types without surface tension

Cites Work

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• Qualitative behaviour of solutions for the two-phase Navier-Stokes equations with surface tension
• On Global Weak Solutions of the Nonstationary Two-Phase Stokes Flow
• An existence theorem for the multi-fluid Stokes problem

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