8 citations · 8 across the 2 of their papers we have counts for
3 papers
math.AP2021★ 8 cited
Gradient blow-up for dispersive and dissipative perturbations of the Burgers equation
Sung-Jin Oh, Federico Pasqualotto
We consider a class of dispersive and dissipative perturbations of the inviscid Burgers equation, which includes the fractional KdV equation of order , and the fractal Burgers e…
math.AP2019
Global stability for nonlinear wave equations with multi-localized initial data
John Anderson, Federico Pasqualotto
In this paper, we initiate the study of the global stability of nonlinear wave equations with initial data that are not required to be localized around a single point. More precise…
math.AP2018
Compressible fluids and active potentials
Peter Constantin, Theodore D. Drivas, Huy Q. Nguyen +1
We consider a class of one dimensional compressible systems with degenerate diffusion coefficients. We establish the fact that the solutions remain smooth as long as the diffusion…