Well-posedness for the surface quasi-geostrophic front equation

Global solutions for a family of GSQG front equations

“…A derivation for Euler fronts with α = 2 is given in [24]. The local well-posedness of a cubically nonlinear approximation for SQG fronts is proved in [26], and flat planar SQG fronts are shown to be globally asymptotically stable in [1,27]. A similar idea is also used in proving globally asymptotically stability of the quasi-geostrophic shallow water front [48].…”