Partial differential equations
Smooth traveling-wave solutions to the inviscid surface quasi-geostrophic equations
Comptes Rendus. Mathématique, Volume 359 (2021) no. 1, pp. 85-98.

In a recent article by Gravejat and Smets [7], 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 similar solutions to a more general class of quasi-geostrophic equation where the half-laplacian is replaced by any fractional laplacian.

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Accepted:
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DOI: 10.5802/crmath.159
Godard-Cadillac, Ludovic 1

1 Sorbonne Université, Laboratoire Jacques-Louis Lions, 4, Place Jussieu, 75005 Paris, France
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Godard-Cadillac, Ludovic. Smooth traveling-wave solutions to the inviscid surface quasi-geostrophic equations. Comptes Rendus. Mathématique, Volume 359 (2021) no. 1, pp. 85-98. doi : 10.5802/crmath.159. http://www.numdam.org/articles/10.5802/crmath.159/

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