Optimal Regularity for the 2D Euler Equations in the Yudovich class
de Nitti, Nicola; Meyer, David; Seis, Christian
Research article (journal) | Peer reviewedAbstract
We analyze the optimal regularity that is exactly propagated by a transport equation driven by a velocity field with a BMO gradient. As an application, we study the 2D Euler equations in case the initial vorticity is bounded. The sharpness of our result for the Euler equations follows from a variation of Bahouri and Chemin's vortex patch example.
Details about the publication
Journal: Journal de Mathématiques Pures et Appliquées
Volume: 191
Status: Published
Release year: 2024
Keywords: Euler equations; Transport equation; Non-smooth vector fields; Littlewood–Paley; Propagation of regularity; Bahouri-Chemin's vortex patch
Authors from the University of Münster
| Meyer, David Tobias | Mathematical Institute |
| Seis, Christian | Professorship for applied mathematics (Prof. Seis) |