Showing 2024Show all
2 papers · 1 filter
math.NA2024
To blow-up or not to blow-up for a granular kinetic equation
José A. Carrillo, Ruiwen Shu, Li Wang +1
A simplified kinetic description of rapid granular media leads to a nonlocal Vlasov-type equation with a convolution integral operator that is of the same form as the continuity eq…
math.AP2024
Global solutions of the one-dimensional compressible Euler equations with nonlocal interactions via the inviscid limit
Jose A. Carrillo, Gui-Qiang G. Chen, Difan Yuan +1
We are concerned with the global existence of finite-energy entropy solutions of the one-dimensional compressible Euler equations with (possibly) damping, alignment forces, and non…