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Thesis

Large data problems in fluid dynamics and general relativity

Abstract:

In this thesis we contribute to the study of two large data problems within the realm of Hyperbolic Partial Differential Equations. The first result concerns the Relativistic Euler equations, which adequately describe fluid motion in the context of special relativity.

The main result is the provision of a both necessary and sufficient condition on the initial data, uniformly away from vacuum, for the formation of singularities in finite time under the evolution of (1) in the case d...

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Role:
Supervisor
Role:
Supervisor
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford

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