Global solvability of a problem governing the motion of two incompressible capillary fluids in a container

DOI10.1007/s10958-012-0951-8zbMath1278.35175OpenAlexW1969236236WikidataQ114395511 ScholiaQ114395511MaRDI QIDQ1947236

Vsevolod A. Solonnikov, Irina V. Denisova

Publication date: 19 April 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0951-8

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Capillarity (surface tension) for incompressible viscous fluids (76D45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35)

Related Items

Global Solvability of the Problem on Two-Phase Capillary Fluid Motion in the Oberbeck–Boussinesq Approximation, Local well-posedness for two-phase fluid motion in the Oberbeck-Boussinesq approximation, \(L_p\)-theory of the problem of motion of two incompressible capillary fluids in a container, Global \(L_{2}\)-solvability of a problem governing two-phase fluid motion without surface tension, \(L_2\)-theory for two incompressible fluids separated by a free interface, $L_2$-theory for two viscous fluids of different types: Compressible and incompressible, Some Free Boundary Problem for Two-Phase Inhomogeneous Incompressible Flows, Well-posedness of a Navier-Stokes/mean curvature flow system, 𝐿_{𝑝}-estimates of solution of the free boundary problem for viscous compressible and incompressible fluids in the linear approximation, On energy inequality for the problem on the evolution of two fluids of different types without surface tension

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