4 citations · 4 across the 3 of their papers we have counts for
7 papers
Global solutions of quasi-geostrophic shallow-water fronts
Fangchi Yan, Qingtian Zhang
In this paper, we consider a family of piecewise constant solutions of the quasi-geostrophic shallow-water (QGSW) equation. We derive the contour dynamics equation of the QGSW fron…
On the approximation of vorticity fronts by the Burgers-Hilbert equation
John K. Hunter, Ryan C. Moreno-Vasquez, Jingyang Shu +1
This paper proves that the motion of small-slope vorticity fronts in the two-dimensional incompressible Euler equations is approximated on cubically nonlinear timescales by a Burge…
Global solutions for a family of GSQG front equations
John K. Hunter, Jingyang Shu, Qingtian Zhang
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) fron…
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…
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…
On finite time BV blow-up for the p-system
Alberto Bressan, Geng Chen, Qingtian Zhang
The paper studies the possible blowup of the total variation for entropy weak solutions of the p-system, modeling isentropic gas dynamics. It is assumed that the density remains un…