CORDIS Project
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This project explores advanced mathematical questions related to the Euler equation for incompressible fluids, focusing on chaotic trajectories and vortex structures. It aims to prove significant conjectures in fluid mechanics and spectral theory, contributing to the understanding of complex fluid behaviors.
This project aims to go significantly beyond the state of the art in several fundamental questions in PDEs with a clear geometric flavor.
Central to this proposal is the Euler equation for an incompressible fluid, where the topics that I will be concerned with range from free boundary problems where I will strive to prove that the curvature of the interface blows up in finite time due to the appearance of kinks of controlled geometry, to the existence of smooth stationary solutions that feature…
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