Nonlinear stability of planar steady Euler flows associated with semistable solutions of elliptic problems

This paper is devoted to the study of nonlinear stability of steady incompressible Euler flows in two dimensions. We prove that a steady Euler flow is nonlinearly stable in L^p norm of the vorticity if its stream function is a semistable solution of some semilinear elliptic problem with nondecreasin...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Transactions of the American Mathematical Society 2022-07, Vol.375 (7), p.5071-5095
1. Verfasser: Wang, Guodong
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!