Motion of a Drop in an Incompressible Fluid

Motion of a Drop in an Incompressible Fluid

Denisova, I. V.; Solonnikov, V. A.

Springer Nature Switzerland AG

09/2021

316

Mole

Inglês

9783030700522

15 a 20 dias

498

Descrição não disponível.
Introduction.- A Model Problem with Plane Interface and with Positive Surface Tension Coefficient.- The Model Problem Without Surface Tension Forces.- A Linear Problem with Closed Interface Under Nonnegative Surface Tension.- Local Solvability of the Problem in Weighted Hoelder Spaces.- Global Solvability in the Hoelder Spaces for the Nonlinear Problem without Surface Tension.- Global Solvability of the Problem Including Capillary Forces. Case of the Hoelder Spaces.- Thermocapillary Convection Problem.- Motion of Two Fluids in the Oberbeck - Boussinesq Approximation.- Local L2-solvability of the Problem with Nonnegative Coefficient of Surface Tension.- Global L2-solvability of the Problem without Surface Tension.- L2-Theory for Two-Phase Capillary Fluid.
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Free boundary problems;Boundary value problems;Viscous incompressible fluids;Two-phase fluid;Interface problems;Navier-Stokes equations;Sobolev-Slobodetskiy functional spaces;Hoelder spaces;Hoelder inequality;Existence initial boundary value problem;Uniqueness initial boundary value problem;Thermocapillary convection;Oberbek-Boussinesq approximation;L2 solvability boundary value problem;Two-phase capillary fluid;Capillary forces fluid mechanics