CORDIS Project
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This project explores mathematical problems related to fluid mechanics, specifically the evolution of vortex lines in three-dimensional incompressible fluids. It aims to develop rigorous approaches to understand these complex fluid dynamics phenomena.
This proposal deals with a collection of problems in PDE arising from fluid mechanics.The primary motivation is the understanding of the evolution of isolated vortex lines for 3D Euler.
The importance of the evolution of vorticity in incompressible fluid mechanics is very well known.To date, only nonrigorous approaches are known to try to obtain an evolution equation for isolated vortex lines.
Two desingularization procedures are carried out (including a time renormalization) to obtain an evolut…
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