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Thesis

Short-time structural stability of compressible vortex sheets with surface tension

Abstract:

The main purpose of this work is to prove short-time structural stability of compressible vortex sheets with surface tension.

The main result can be summarised as follows. Assume we start with an initial vortex-sheet configuration which consists of two inviscid fluids with density bounded below flowing smoothly past each other, where a strictly positive fixed coefficient of surface tension produces a surface tension force across the common interface, balanced by the pressure jump. W...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Research group:
OxPDE
Oxford college:
Merton College
Role:
Author

Contributors

Role:
Supervisor
Publication date:
2014
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
Oxford University, UK

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