Contour dynamics for surface quasi-geostrophic fronts

DOI10.1088/1361-6544/ab8d16zbMath1450.35217arXiv1907.06593OpenAlexW2958789734MaRDI QIDQ5130908

Qingtian Zhang, Jingyang Shu, John K. Hunter

Publication date: 29 October 2020

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.06593

zbMATH Keywords

contour dynamicsnonlinear dispersive wavessurface quasi-geostrophic equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) PDEs in connection with geophysics (35Q86) Geophysical flows (76U60)

Related Items

Temperature patches for the subcritical Boussinesq-Navier-Stokes system with no diffusion ⋮ Active vector models generalising 3D Euler and electron–MHD equations ⋮ Global solutions of a surface quasigeostrophic front equation ⋮ Existence of solutions to fluid equations in Hölder and uniformly local Sobolev spaces ⋮ On the approximation of vorticity fronts by the Burgers–Hilbert equation ⋮ Well-posedness for SQG sharp fronts with unbounded curvature ⋮ Contour Dynamics and Global Regularity for Periodic Vortex Patches and Layers ⋮ On sharp fronts and almost-sharp fronts for singular SQG

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