7 citations · 9 across the 2 of their papers we have counts for
2 papers
math.AP2021★ 7 cited
Asymptotically self-similar shock formation for 1d fractal Burgers equation
Kyle R. Chickering, Ryan C. Moreno-Vasquez, Gavin Pandya
For we construct unique solutions to the fractal Burgers equation which develop a first shock in finite time, starting…
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…