Research Focus
Dr. Sanchit Chaturvedi’s research area includes partial differential equations arising in physics, and has academic interests in fluids, kinetic theory, and analysis.
Their research involves analysis of partial differential equations to understand physically relevant phenomena mathematically. Recently they have been interested in understanding shocks and how viscosity interacts with these singularities. They are also interested in the problem of global existence for collisional kinetic equations.
Publications
- Stability of vacuum for the Boltzmann Equation with moderately soft potentials, Annals of PDE, 7:15, 2021.
- The Vlasov-Poisson-Landau system in the weakly collisional regime, with Jonathan Luk and Toan Nguyen, Journal of American Math Society, 36 no.4, 2024.
- The inviscid limit of viscous Burgers at nondegenerate shock formation, with Cole Graham, Ann. PDE 9, 1 (2023).
- Shock formation in 1D conservation laws II: Vanishing viscosity, with John Anderson and Cole Graham, submitted 2025.