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Classical solvability of a stationary free boundary problem for an incompressible viscous fluid describing the process of interface formation

Classical solvability of a stationary free boundary problem for an incompressible viscous fluid... We investigate a mathematical model describing the process of interface formation or disappearance. The model was originally introduced to remove the singularities that arise when classical hydrodynamics is applied to describe certain flows. The problem is formulated as a free boundary problem consisting of the Navier–Stokes equations and a surface-mass balance equation on the interface. We deal with stationary cases and prove the existence of classical solutions in Hölder spaces for a rotationally symmetric small external force. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Analysis and Mathematical Physics Springer Journals

Classical solvability of a stationary free boundary problem for an incompressible viscous fluid describing the process of interface formation

Analysis and Mathematical Physics , Volume 5 (1) – Aug 9, 2014

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Publisher
Springer Journals
Copyright
Copyright © 2014 by Springer Basel
Subject
Mathematics; Analysis; Mathematical Methods in Physics
ISSN
1664-2368
eISSN
1664-235X
DOI
10.1007/s13324-014-0087-8
Publisher site
See Article on Publisher Site

Abstract

We investigate a mathematical model describing the process of interface formation or disappearance. The model was originally introduced to remove the singularities that arise when classical hydrodynamics is applied to describe certain flows. The problem is formulated as a free boundary problem consisting of the Navier–Stokes equations and a surface-mass balance equation on the interface. We deal with stationary cases and prove the existence of classical solutions in Hölder spaces for a rotationally symmetric small external force.

Journal

Analysis and Mathematical PhysicsSpringer Journals

Published: Aug 9, 2014

References