2 papers
math.AP2026
A Convergent Front Tracking Scheme
Manas Bhatnagar, Robin Young
We present a modified Front Tracking (mFT) scheme for hyperbolic systems of conservation laws in one space dimension, in which we allow arbitrarily large nonlinear waves. We build…
math.AP2025
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…