On the statistical solutions of the two-dimensional, periodic Euler equation

We investigate the problem to define statistical solutions for the two‐dimensional, periodic Euler Equation and prove a theorem of global existence and uniqueness for a regularized version. Moreover, we deduce the existence of the Euler flow in a weak form.

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Mathematical methods in the applied sciences 1985, Vol.7 (1), p.55-73
Hauptverfasser:	Caprino, S., De Gregorio, S., Neunzert, H.
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) General theory Physics
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	We investigate the problem to define statistical solutions for the two‐dimensional, periodic Euler Equation and prove a theorem of global existence and uniqueness for a regularized version. Moreover, we deduce the existence of the Euler flow in a weak form.
ISSN:	0170-4214 1099-1476
DOI:	10.1002/mma.1670070104