13 citations · 22 across the 6 of their papers we have counts for
6 papers
The inviscid limit of viscous Burgers at nondegenerate shock formation
Sanchit Chaturvedi, Cole Graham
We study the vanishing viscosity limit of the one-dimensional Burgers equation near nondegenerate shock formation. We develop a matched asymptotic expansion that describes small-vi…
Phase mixing for solutions to 1D transport equation in a confining potential
Sanchit Chaturvedi, Jonathan Luk
Consider the linear transport equation in D under an external confining potential : \begin{equation*} \partial_t f + v \partial_x f - \partial_x Φ\partial_v f = 0. \end{equat…
The Vlasov--Poisson--Landau system in the weakly collisional regime
Sanchit Chaturvedi, Jonathan Luk, Toan T. Nguyen
Consider the Vlasov-Poisson-Landau system with Coulomb potential in the weakly collisional regime on a -torus, i.e. $$\begin{aligned} \partial_t F(t,x,v) + v_i \partial_{x_i} F(…
Stability of vacuum for the Boltzmann Equation with moderately soft potentials
Sanchit Chaturvedi
We consider the spatially inhomogeneous non-cutoff Boltzmann equation with moderately soft potentials and any singularity parameter , i.e. with on the wh…
Stability of vacuum for the Landau equation with hard potentials
Sanchit Chaturvedi
We consider the spatially inhomogeneous Landau equation with Maxwellian and hard potentials (i.e with ) on the whole space . We prove that if the initial d…
Local existence for the Landau Equation with hard potentials
Sanchit Chaturvedi
We consider the spatially inhomogeneous Landau equation with hard potentials (i.e. with ) on the whole space . We prove existence and uniquenss of solutio…