Smooth traveling-wave solutions to the inviscid surface quasi-geostrophic equations

Ludovic Godard-Cadillac (1)

1 LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions

In a recent article by Gravejat and Smets, it is built smooth solutions to the inviscid surface quasi-geostrophic equation that have the form of a traveling wave. In this article we work back on their construction to provide solution to a more general class of quasi-geostrophic equation where the half-laplacian is replaced by any fractional laplacian.

Mots clés: Travelling waves; quasi-geostrophic; Nehari manifold; fluid mechanics

Domaines: Equations aux dérivées partielles [math.AP]

Ludovic Godard-Cadillac. Smooth traveling-wave solutions to the inviscid surface quasi-geostrophic equations. Comptes Rendus. Mathématique, 2021. ⟨hal-02970664⟩