SOLVABILITY OF A PROBLEM ON THE PLANE MOTION OF A HEAVY VISCOUS INCOMPRESSIBLE CAPILLARY LIQUID PARTIALLY FILLING A CONTAINER

DOI10.1070/IM1980v014n01ABEH001069zbMath0429.76020MaRDI QIDQ3867402

Vsevolod A. Solonnikov

Publication date: 1980

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

zbMATH Keywords

existence and uniqueness theoremsfree boundaryvesselheavy viscous fluidlaminar bidimensional movementsources of null total intensity

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Wakes and jets (76D25)

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The steady Navier-Stokes equations with mixed boundary conditions: application to free boundary flows ⋮ On a viscous two-fluid channel flow including evaporation ⋮ The solvability of a free boundary problem for the stationary Navier-Stokes equations with a dynamic contact line ⋮ Existence of smooth, stationary interfaces for Marangoni-type flow ⋮ A mathematical theory for viscous, free-surface flows over a perturbed plane ⋮ Classical solvability of a stationary free boundary problem for an incompressible viscous fluid describing the process of interface formation ⋮ On the existence of hydrodynamic motion in a domain with free boundary type conditions ⋮ A free boundary problem for the stokes system with contact lines ⋮ Numerical Investigation of a Dependence of the Dynamic Contact Angle on the Contact Point Velocity in a Problem of the Convective Fluid Flow

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