3 citations · 4 across the 2 of their papers we have counts for
5 papers
Self-generating lower bounds and continuation for the Boltzmann equation
Christopher Henderson, Stanley Snelson, Andrei Tarfulea
For the spatially inhomogeneous, non-cutoff Boltzmann equation posed in the whole space , we establish pointwise lower bounds that appear instantaneously even if the…
Local well-posedness of the Boltzmann equation with polynomially decaying initial data
Christopher Henderson, Stanley Snelson, Andrei Tarfulea
We consider the Cauchy problem for the spatially inhomogeneous non-cutoff Boltzmann equation with polynomially decaying initial data in the velocity variable. We establish short-ti…
Local Solutions of the Landau Equation with Rough, Slowly Decaying Initial Data
Christopher Henderson, Stanley Snelson, Andrei Tarfulea
We consider the Cauchy problem for the spatially inhomogeneous Landau equation with soft potentials in the case of large (i.e. non-perturbative) initial data. We construct a soluti…
Front Propagation for Nonlocal KPP Reaction-Diffusion Equations in Periodic Media
Panagiotis E. Souganidis, Andrei Tarfulea
We study front propagation phenomena for a large class of nonlocal KPP-type reaction-diffusion equations in oscillatory environments, which model various forms of population growth…
Gradient estimates and symmetrization for Fisher-KPP front propagation with fractional diffusion
Jean-Michel Roquejoffre, Andrei Tarfulea
In this paper, we study gradient decay estimates for solutions to the multi-dimensional Fisher-KPP equation with fractional diffusion. It is known that this equation exhibits expon…