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1. Regularized and approximate equations for sharp fronts in the surface quasi-geostrophic equation and its generalizations.

Author

John K Hunter and Jingyang Shu

Subjects
*SURFACE waves (Seismic waves), *SCALAR field theory, *FOURIER analysis, *EULER equations, *DIFFEOMORPHISMS
Abstract

We derive regularized contour dynamics equations for the motion of infinite sharp fronts in the two-dimensional incompressible Euler, surface quasi-geostrophic (SQG), and generalized surface quasi-geostrophic (GSQG) equations. We derive a cubic approximation of the contour dynamics equation, and prove the short-time well-posedness of the approximate equations for generalized surface quasi-geostrophic fronts and weak well-posedness for surface quasi-geostrophic fronts. [ABSTRACT FROM AUTHOR]

Published
2018
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