Weak and classical solutions to an asymptotic model for atmospheric flows

Luigi Roberti, Bogdan-Vasile Matioc

Veröffentlichungen: Beitrag in FachzeitschriftArtikelPeer Reviewed

Abstract

In this paper we study a recently derived mathematical model for nonlinear propagation of waves in the atmosphere, for which we establish the local well-posedness in the setting of classical solutions. This is achieved by formulating the model as a quasilinear parabolic evolution problem in an appropriate functional analytic framework and by using abstract theory for such problems. Moreover, for L 2-initial data, we construct global weak solutions by employing a two-step approximation strategy based on a Galerkin scheme, where an equivalent formulation of the problem in terms of a new variable is used. Compared to the original model, the latter has the advantage that the L 2-norm is a Liapunov functional.

OriginalspracheEnglisch
Seiten (von - bis)603-624
Seitenumfang22
FachzeitschriftJournal of Differential Equations
Jahrgang367
DOIs
PublikationsstatusVeröffentlicht - 15 Sep. 2023

ÖFOS 2012

  • 101002 Analysis

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