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math.AP2020
Sharp critical thresholds in a hyperbolic system with relaxation
Manas Bhatnagar, Hailiang Liu
We propose and study a one-dimensional hyperbolic Eulerian system with local relaxation from critical threshold phenomena perspective. The system features dynamic trans…
math.AP2020
Critical thresholds in a nonlocal Euler system with relaxation
Manas Bhatnagar, Hailiang Liu
We propose and study a nonlocal Euler system with relaxation, which tends to a strictly hyperbolic system under the hyperbolic scaling limit. An independent proof of the local exis…
math.AP2020
Critical thresholds in 1D pressureless Euler-Poisson systems with varying background
Manas Bhatnagar, Hailiang Liu
The Euler Poisson equations describe important physical phenomena in many applications such as semiconductor modeling and plasma physics. This paper is to advance our understanding…