Items filtered by date: Thursday, 06 November 2014
Critical thresholds in 1D Euler equations with nonlocal forces
Jose A. Carrillo, Young-Pil Choi, Eitan Tadmor, and Changhui Tan
Mathematical Models and Methods in Applied Sciences, Volume 26, No 1, pp. 185-206 (2016).
Abstract
We study the critical thresholds for the compressible pressureless Euler equations with pairwise attractive or repulsive interaction forces and non-local alignment forces in velocity in one dimension. We provide a complete description for the critical threshold to the system without interaction forces leading to a sharp dichotomy condition between global-in-time existence or finite-time blowup of strong solutions. When the interaction forces are considered, we also give a classification of the critical thresholds according to the different type of interaction forces. We also remark on global-in-time existence when the repulsion is modeled by the isothermal pressure law.
 |
doi:10.1142/S0218202516500068 |
 |
Download the Published Version |