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math.AP2019
Contour Dynamics for Surface Quasi-Geostrophic Fronts
John K. Hunter, Jingyang Shu, Qingtian Zhang
We use contour dynamics to derive equations of motion for infinite planar surface quasi-geostrophic (SQG) fronts, and show that it leads to the same result as a regularization proc…
math.AP2019
Two-Front Solutions of the SQG Equation and its Generalizations
John K. Hunter, Jingyang Shu, Qingtian Zhang
The generalized surface quasi-geostrophic (GSQG) equations are transport equations for an active scalar that depend on a parameter . Special cases are the two-dimensional…