Manas Bhatnagar
Associate Lecturer
Department of Mathematics
University of Massachusetts Boston
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. I was a Visiting Assistant Professor (Postdoc position) in the Department of Mathematics and Statistics at University of Massachusetts Amherst from Sep '22 to Aug '25. Currently, I am an Associate Lecturer at University of Massachusetts Boston.
Postdoc mentor: Dr Robin Young
PhD advisor: Dr Hailiang Liu
Preprints
Publications
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2024
On critical thresholds for hyperbolic balance law systems
Hyperbolic Problems: Theory, Numerics, Applications, 1, pp. 145–155
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2023
Critical Thresholds in the Euler-Poisson-alignment system
Journal of Differential Equations, 375, pp. 82–119
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2022
Global dynamics of the one-dimensional Euler-alignment system with weakly singular kernel
Applied Mathematics Letters, 128, 107856
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2021
Sharp critical thresholds in a hyperbolic system with relaxation
Discrete and Continuous Dynamical Systems, 41 (12), pp. 5851–5869
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2021
Well-posedness and critical thresholds in a nonlocal Euler system with relaxation
Discrete and Continuous Dynamical Systems, 41 (11), pp. 5271–5289
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2020
Critical thresholds in 1D pressureless Euler-Poisson systems with variable background
Physica D: Nonlinear Phenomena, 414, 132728
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2020
Critical thresholds in one dimensional damped Euler-Poisson systems
Mathematical Models and Methods in Applied Sciences, 30(05), pp. 891–916