2 citations · 2 across the 2 of their papers we have counts for
8 papers · 1 filter
On the Bernoulli problem with unbounded jumps
Stanley Snelson, Eduardo V. Teixeira
We investigate Bernoulli free boundary problems prescribing infinite jump conditions. The mathematical set-up leads to the analysis of non-differentiable minimization problems of t…
Non-existence of some approximately self-similar singularities for the Landau, Vlasov-Poisson-Landau, and Boltzmann equations
Jacob Bedrossian, Maria Pia Gualdani, Stanley Snelson
We consider the homogeneous and inhomogeneous Landau equation for very soft and Coulomb potentials and show that approximate Type I self-similar blow-up solutions do not exist unde…
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…
Velocity Decay Estimates for Boltzmann equation with hard potentials
Stephen Cameron, Stanley Snelson
We establish pointwise polynomial decay estimates in velocity space for the spatially inhomogeneous Boltzmann equation without cutoff, in the case of hard potentials (),…
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…