Global solutions for a family of GSQG front equations

2020/05/19 by John K. Hunter, Hunter, John K., Jingyang Shu +3 · 1 citation
Mathematics · Engineering · #Navier-Stokes equation solutions #Advanced Mathematical Physics Problems #Fluid Dynamics and Turbulent Flows

paper · pdf · doi:10.48550/arxiv.2005.09154

Abstract

We prove the global existence of solutions with small and smooth initial data of a nonlinear dispersive equation for the motion of generalized surface quasi-geostrophic (GSQG) fronts in a parameter regime 1

Citations

• Symmetry in stationary and uniformly-rotating solutions of active scalar equations

Cited by

• On the approximation of vorticity fronts by the Burgers-Hilbert equation

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