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arXiv · 1705.06935

Smooth travelling-wave solutions to the inviscid surface quasi-geostrophic equation

Philippe Gravejat·Didier Smets
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Abstract

We construct families of smooth travelling-wave solutions to the inviscid surface quasi-geostrophic equation (SQG). These solutions can be viewed as the equivalents for this equation of the vortex anti-vortex pairs in the context of the incompressible Euler equation. Our argument relies on the stream function formulation and eventually amounts to solving a fractional nonlinear elliptic equation by variational methods.

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Philippe Gravejat, Didier Smets. 2017-05-19. Smooth travelling-wave solutions to the inviscid surface quasi-geostrophic equation. https://arxiv.org/abs/1705.06935

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