Sanchit Chaturvedi

Simons Junior Fellow @ NYU

Welcome to my webpage! I am a Simons junior fellow postdoc at NYU. Previously, I was a PhD student at Stanford advised by Jonathan Luk.

I am broadly interested in nonlinear partial differential equations especially those arising from physics. Recently, my work has been focused on questions coming from Kinetic theory and compressible fluids.

For more information see my CV.

Welcome to my webpage! I am a Simons junior fellow postdoc at NYU. Previously, I was a PhD student at Stanford advised by Jonathan Luk.

I am broadly interested in nonlinear partial differential equations especially those arising from physics. Recently, my work has been focused on questions coming from Kinetic theory and compressible fluids.

For more information see my CV.

Welcome to my webpage! I am a Simons junior fellow postdoc at NYU. Previously, I was a PhD student at Stanford advised by Jonathan Luk.

I am broadly interested in nonlinear partial differential equations especially those arising from physics. Recently, my work has been focused on questions coming from Kinetic theory and compressible fluids.

For more information see my CV.

Sanchit Chaturvedi

Simons Junior Fellow @ NYU

Sanchit Chaturvedi

Sanchit Chaturvedi

Simons Junior Fellow, NYU

Simons Junior Fellow, NYU

MATHEMATICS

MATHEMATICS

sc4977@nyu.edu
sc4977@nyu.edu

Research & Publications

All

Dispersion in Gases

Phase Mixing

Vanishing Viscosity

Publications

  1. Shock formation in 1D conservation laws II: Vanishing viscosity, with John Anderson and Cole Graham, submitted 2025.

  1. Shock formation in 1D conservation laws I: The inviscid structure, with John Anderson and Cole Graham, submitted 2025.

  1. Linear and Nonlinear phase mixing phase mixing for the gravitational Vlasov-Poisson under an external Kepler potential, with Jonathan Luk, submitted 2024.

  1. The inviscid limit of viscous Burgers at nondegenerate shock formation, with Cole Graham, Ann. PDE 9, 1 (2023).

  1. Phase mixing for solutions to 1D transport equation in a confining potential, with Jonathan Luk, Kinetic and related models, doi:10.3934/krm.2022002, 2022.

  1. 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.

  1. Stability of vacuum for the Boltzmann Equation with moderately soft potentials, Annals of PDE, 7:15, 2021.

  1. Stability of vacuum for the Landau equation with hard potentials, Probability and Mathematical Physics, 3(4), 791-838, 2023.

  1. Local existence for the Landau Equation with hard potentials, Siam journal on math analysis, 55, no. 5 (2023): 5345-5385.

Research Topics

  • Stability of vacuum for collisional kinetic models

  • Phase mixing, Landau damping and enhanced dissipation

  • Viscous effects on shock formation for compressible fluids.

Research & Publications

All

Dispersion in Gases

Phase Mixing

Vanishing Viscosity

Publications

  1. Shock formation in 1D conservation laws II: Vanishing viscosity, with John Anderson and Cole Graham, submitted 2025.

  1. Shock formation in 1D conservation laws I: The inviscid structure, with John Anderson and Cole Graham, submitted 2025.

  1. Linear and Nonlinear phase mixing phase mixing for the gravitational Vlasov-Poisson under an external Kepler potential, with Jonathan Luk, submitted 2024.

  1. The inviscid limit of viscous Burgers at nondegenerate shock formation, with Cole Graham, Ann. PDE 9, 1 (2023).

  1. Phase mixing for solutions to 1D transport equation in a confining potential, with Jonathan Luk, Kinetic and related models, doi:10.3934/krm.2022002, 2022.

  1. 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.

  1. Stability of vacuum for the Boltzmann Equation with moderately soft potentials, Annals of PDE, 7:15, 2021.

  1. Stability of vacuum for the Landau equation with hard potentials, Probability and Mathematical Physics, 3(4), 791-838, 2023.

  1. Local existence for the Landau Equation with hard potentials, Siam journal on math analysis, 55, no. 5 (2023): 5345-5385.

Research Topics

  • Stability of vacuum for collisional kinetic models

  • Phase mixing, Landau damping and enhanced dissipation

  • Viscous effects on shock formation for compressible fluids.

Research & Publications

All

Dispersion in Gases

Phase Mixing

Vanishing Viscosity

Publications

  1. Shock formation in 1D conservation laws II: Vanishing viscosity, with John Anderson and Cole Graham, submitted 2025.

  1. Shock formation in 1D conservation laws I: The inviscid structure, with John Anderson and Cole Graham, submitted 2025.

  1. Linear and Nonlinear phase mixing phase mixing for the gravitational Vlasov-Poisson under an external Kepler potential, with Jonathan Luk, submitted 2024.

  1. The inviscid limit of viscous Burgers at nondegenerate shock formation, with Cole Graham, Ann. PDE 9, 1 (2023).

  1. Phase mixing for solutions to 1D transport equation in a confining potential, with Jonathan Luk, Kinetic and related models, doi:10.3934/krm.2022002, 2022.

  1. 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.

  1. Stability of vacuum for the Boltzmann Equation with moderately soft potentials, Annals of PDE, 7:15, 2021.

  1. Stability of vacuum for the Landau equation with hard potentials, Probability and Mathematical Physics, 3(4), 791-838, 2023.

  1. Local existence for the Landau Equation with hard potentials, Siam journal on math analysis, 55, no. 5 (2023): 5345-5385.

Research Topics

  • Stability of vacuum for collisional kinetic models

  • Phase mixing, Landau damping and enhanced dissipation

  • Viscous effects on shock formation for compressible fluids.

Teachings

Current Teachings

I am currently not teaching.

Past Teachings

  1. CA for MATH-19 (single variable calculus I) in Fall 2018.

  2. CA for MATH-137 (methods of math physics) in Spring 2019.

  3. CA for MATH-175 (undergrad functional analysis) in Winter 2020.

  4. TA for MATH-53 (ODEs and linear algebra) in Spring 2020.

  5. TA for MATH-21 (single variable calculus III) in Fall 2020.

  6. CA for MATh-173 (undergrad theory of PDE) in Winter 2020.

  1. TA for MATH-53 (ODE and linear algebra) in Spring 2020.

  2. TA for MATH-21 (single variable calculus III)- Fall 2020.

  3. CA for for MATH-173 (undergrad theory of PDE)- Winter 2021.

  4. CA for for MATH 131P (undergrad intro to PDE)- Winter 2022.

  5. CA for for MATH-63CM (first year honors sequence)- Spring 2022.

  6. Admin TA for MATH-53 (ODE and Linear algebra)- Fall 2022.

  7. TA for MATH-52 (Multivariable calc)- Winter 2023.

  8. CA for MATH-56 (Intro to proofs)- Spring 2023.

  9. Instructor for MATH-UA 263 (Partial differential equations)- Spring 2025.