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Motion of a Drop in an Incompressible Fluid [2021]

1
Introduction
2
A Model Problem with Plane Interface and with Positive Surface Tension Coefficient
3
The Model Problem Without Surface Tension Forces
4
A Linear Problem with Closed Interface Under Nonnegative Surface Tension
5
Local Solvability of the Problem in Weighted Hölder Spaces
6
Global Solvability in the Hölder Spaces for the Nonlinear Problem Without Surface Tension
7
Global Solvability of the Problem Including Capillary Forces: Case of the Hölder Spaces
8
Thermocapillary Convection Problem
9
Motion of Two Fluids in the Oberbeck-Boussinesq Approximation
10
Local <italic>L</italic><sub>2</sub>-Solvability of the Problem with Nonnegative Coefficient of Surface Tension
11
Global <italic>L</italic><sub>2</sub>-Solvability of the Problem Without Surface Tension
12
<italic>L</italic><sub>2</sub>-Theory for Two-Phase Capillary Fluid
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