Eventi
16 Ottobre, 2024 15:00
Sezione di Analisi per il Dipartimento di Eccellenza (interazioni fluido-strutture)
Global well-posedness of 3D Navier-Stokes with helical vortex filament data
Antonio Hidalgo-Torné, Max Planck Institute for Mathematics in the Sciences, Leipzig
Aula Seminari - III Piano
Abstract
We address the global-in-time existence, uniqueness, and regularity of solutions to the Cauchy problem for the three-dimensional Navier-Stokes equation with the initial vorticity concentrated on a helix. More specifically, we establish a local-in-time well-posedness result for vortex filaments that are periodic in one spatial direction, following the approach of Bedrossian, Germain and Harrop-Griffiths for closed filaments. Then, we use local energy weak solutions and helical estimates to extend the solution uniquely and globally in time in the helical case.
Seminari Matematici al
Politecnico di Milano
- Analisi
- Cultura Matematica
- Seminari FDS
- Geometria e Algebra
- Probabilità e Statistica Matematica
- Probabilità Quantistica