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Singularities in fluid dynamics: from the classical approach to Monge-Ampere geometry
Doctoral Thesis   Open access

Singularities in fluid dynamics: from the classical approach to Monge-Ampere geometry

Roberto D'Onofrio
University of Surrey
Doctor of Philosophy (PhD), University of Surrey
28/06/2024
DOI:
https://doi.org/10.15126/thesis.901054

Abstract

Differential Geometry Fluid Dynamics Mathematical Physics Meteorology Partial Differential Equations

This thesis presents some recently published results regarding two classical models of fluid dynamics: the 1D shallow water equations (SWE) and the 3D incompressible semigeostrophic equations. ​

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