21 citations · 73 across the 10 of their papers we have counts for
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math.AP2020★ 2 cited
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…
math.AP2020★ 4 cited
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…