Optimal Regularity for the 2D Euler Equations in the Yudovich class
de Nitti, Nicola; Meyer, David; Seis, Christian
Forschungsartikel (Zeitschrift) | Peer reviewedZusammenfassung
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 zur Publikation
Fachzeitschrift: Journal de Mathématiques Pures et Appliquées
Jahrgang / Bandnr. / Volume: 191
Status: Veröffentlicht
Veröffentlichungsjahr: 2024
Stichwörter: Euler equations; Transport equation; Non-smooth vector fields; Littlewood–Paley; Propagation of regularity; Bahouri-Chemin's vortex patch
Autor*innen der Universität Münster
| Meyer, David Tobias | Mathematisches Institut |
| Seis, Christian | Professur für Angewandte Mathematik (Prof. Seis) |