5 citations · 9 across the 22 of their papers we have counts for
25 papers
Global regularity and decay estimates for the relativistic Landau equation
Christopher Henderson, Stanley Snelson, Andrei Tarfulea +1
We consider the relativistic Landau equation in the spatially inhomogeneous, far-from-equilibrium regime. We establish regularity estimates of all orders, implying that solutions r…
Existence of smooth solutions to the Landau equation with hard potentials and irregular initial data
Stanley Snelson, Shelly Ann Taylor
This paper addresses large-data local existence and uniqueness of classical solutions to the inhomogeneous Landau equation in the hard potentials case (including Maxwell molecules)…
Regularity and nondegeneracy for nonlocal Bernoulli problems with variable kernels
Stanley Snelson, Eduardo V. Teixeira
We consider a generalization of the Bernoulli free boundary problem where the underlying differential operator is a nonlocal, non-translation-invariant elliptic operator of order $…
Decay estimates and continuation for the non-cutoff Boltzmann equation
Christopher Henderson, Stanley Snelson, Andrei Tarfulea
We consider the non-cutoff Boltzmann equation in the spatially inhomogeneous, soft potentials regime, and establish decay estimates for large velocity. In particular, we prove that…
A continuation criterion for the Landau equation with very soft and Coulomb potentials
Stanley Snelson, Caleb Solomon
We consider the spatially inhomogeneous Landau equation in the case of very soft and Coulomb potentials, . We show that solutions can be continued as long as the foll…
Global existence for an isotropic modification of the Boltzmann equation
Stanley Snelson
Motivated by the open problem of large-data global existence for the non-cutoff Boltzmann equation, we introduce a model equation that in some sense disregards the anisotropy of th…