Kinetic Descriptions of Chemical and Biological Systems:

Blow-up conditions for two dimensional modified Euler-Poisson equations

Yongki Lee

UC Riverside
[SLIDES]

The multi-dimensional Euler-Poisson system describes the dynamic behavior of many important physical flows, yet as a hyperbolic system its solution can blow-up for some initial configurations. This talk strives to advance our understanding on the critical threshold phenomena through the study of a two-dimensional modified Euler-Poisson system with a modified Riesz transform where the singularity at the or