25 citations · 111 across the 15 of their papers we have counts for
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math.AP2018
On the resonant reflection of weak, nonlinear sound waves off an entropy wave
John K. Hunter, Evan B. Smothers
We derive a degenerate quasilinear Schrödinger equation that describes the resonant reflection of very weak, nonlinear sound waves off a weak sawtooth entropy wave.
math.AP2018★ 21 cited
Global Solutions of a Surface Quasi-Geostrophic Front Equation
John K. Hunter, Jingyang Shu, Qingtian Zhang
We consider a nonlinear, spatially-nonlocal initial value problem in one space dimension on that describes the motion of surface quasi-geostrophic (SQG) fronts. We pro…
math.AP2018★ 9 cited
Local wellposedness of an approximate equation for SQG fronts
John K. Hunter, Jingyang Shu, Qingtian Zhang
We prove local well-posedness in the Sobolev spaces , with , for an initial value problem for a nonlocal, cubically nonlinear, dispersive equation that…