\(L_p\)-estimates for a linear problem arising in the study of the motion of an isolated liquid mass

DOI10.1007/s10958-013-1214-zzbMath1283.35068OpenAlexW1978643812MaRDI QIDQ377992

Vsevolod A. Solonnikov

Publication date: 20 November 2013

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

Full work available at URL: https://doi.org/10.1007/s10958-013-1214-z

zbMATH Keywords

Fourier multipliersnonstationary Stokes equationscapillary boundary condition

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Capillarity (surface tension) for incompressible viscous fluids (76D45)

Related Items (5)

On the $${\mathscr {R}}$$ R -Bounded Solution Operator and the Maximal $$L_p$$ L p - $$L_q$$ L q Regularity of the Stokes Equations With Free Boundary Condition ⋮ On the free boundary problem for the Oldroyd-B model in the maximal \(L_p-L_q\) regularity class ⋮ \(L_p\)-theory of free boundary problems of magnetohydrodynamics in multi-connected domains ⋮ \(L_p\)-theory of the problem of motion of two incompressible capillary fluids in a container ⋮ 𝐿_{𝑝}-estimates of solution of the free boundary problem for viscous compressible and incompressible fluids in the linear approximation

Cites Work

• On the maximal \(L_{p}\)-\(L_{q}\) regularity of the Stokes problem with first order boundary condition; model problems
• On the local solvability of free boundary problem for the Navier-Stokes equations
• On a free boundary problem for the Navier-Stokes equations.
• On the two-phase Navier-Stokes equations with surface tension
• Estimates for solutions of a boundary value problem in magnetohydrodynamics
• Analytic Solutions for the Two-phase Navier-Stokes Equations with Surface Tension and Gravity
• On the linear problem arising in the study of a free boundary problem for the Navier–Stokes equations
• $L_{p}$-estimates of the solution of a linear problem arising in magnetohydrodynamics
• Estimates for the Resolvent of the Operator Appearing in the Study of Equilibrium Figures of a Rotating Viscous Incompressible Fluid
• ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE
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