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math.AP2023
On critical thresholds for hyperbolic balance law systems
Manas Bhatnagar, Hailiang Liu
We review the theoretical development in the study of critical thresholds for hyperbolic balance laws. The emphasis is on two classes of systems: Euler-Poisson-alignment (EPA) syst…
math.AP2023★ 1 cited
A complete characterization of sharp thresholds to spherically symmetric multidimensional pressureless Euler-Poisson systems
Manas Bhatnagar, Hailiang Liu
The Euler-Poisson (EP) system models the dynamics of a variety of physical processes, including charge transport, collisional plasmas, and certain cosmological wave phenomena. In t…