Manas Bhatnagar
Visiting Assistant Professor, Department of Mathematics and Statistics
LGRT 1634, University of Massachusetts Amherst, 01003
Email: mbhatnagar[at]umass[dot]edu
Visiting Assistant Professor, Department of Mathematics and Statistics
LGRT 1634, University of Massachusetts Amherst, 01003
Email: mbhatnagar[at]umass[dot]edu
Hyperbolic Balance Laws are the equations that intrigue me the most. My fields of interest fall under the wider area of Analysis of Partial Differential Equations. I graduated in Summer 2022 with a PhD in Mathematics from Iowa State University. Currently, I am a Visiting Assistant Professor (Postdoc position) in the Department of Mathematics and Statistics at University of Massachusetts Amherst.
Postdoc Mentor: Dr Robin Young
Ph.D. Advisor: Dr Hailiang Liu
On critical thresholds for hyperbolic balance law systems,
with H. Liu,
Hyperbolic Problems: Theory, Numerics, Applications, 1,145--155, 2024.
DOI, ArXiv preprint
Critical Thresholds in the Euler-Poisson-alignment system,
with H. Liu and C. Tan,
Journal of Differential Equations, 375, 82--119, 2023.
DOI, ArXiv preprint
Global dynamics of the one-dimensional Euler-alignment system with weakly singular kernel,
with H. Liu,
Applied Mathematics Letters, 128, 107856, 2022.
DOI, ArXiv preprint
Sharp critical thresholds in a hyperbolic system with relaxation,
with H. Liu,
Discrete and Continuous Dynamical Systems, 41(12), 5851--5869, 2021.
DOI, ArXiv preprint, Talk Slides, Poster
Well-posedness and critical thresholds in a nonlocal Euler system with relaxation,
with H. Liu,
Discrete and Continuous Dynamical Systems, 41(11): 5271--5289, 2021.
Online version available:
DOI, ArXiv preprint, Talk Slides, Poster
Critical thresholds in 1D pressureless Euler-Poisson systems with variable background,
with H. Liu,
Physica D: Nonlinear Phenomena, 414, 132728, 2020.
DOI, ArXiv, Talk Slides
Critical thresholds in one dimensional damped Euler-Poisson systems,
with H. Liu,
Mathematical Models and Methods in Applied Sciences, 30(05), 891--916, 2020.
DOI, ArXiv, Poster
Weak* Solutions III: A Convergent Front Tracking Scheme,
with R. Young,
ArXiv preprint
A complete characterization of sharp thresholds to spherically symmetric multidimensional pressureless Euler-Poisson systems,
with H. Liu.
ArXiv preprint