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

DOI10.5802/crmath.159zbMath1459.76021arXiv2010.09289OpenAlexW3092884209MaRDI QIDQ2656165

Ludovic Godard-Cadillac

Publication date: 10 March 2021

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.09289

zbMATH Keywords

variational formulationNehari manifolddecay estimatefractional LaplacianSteiner rearrangementpolarization inequality

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

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Cites Work

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• Hitchhiker's guide to the fractional Sobolev spaces
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• Partial symmetry and asymptotic behavior for some elliptic variational problems
• Global Smooth Solutions for the Inviscid SQG Equation
• Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar
• Atmospheric and Oceanic Fluid Dynamics
• Smooth Travelling-Wave Solutions to the Inviscid Surface Quasi-Geostrophic Equation
• An Extension Problem Related to the Fractional Laplacian

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