5 citations · 5 across the 4 of their papers we have counts for
9 papers · 1 filter
Local well-posedness for the Boltzmann equation with very soft potential and polynomially decaying initial data
Christopher Henderson, Weinan Wang
In this paper, we address the local well-posedness of the spatially inhomogeneous non-cutoff Boltzmann equation when the initial data decays polynomially in the velocity variable.…
The Bramson delay in a Fisher-KPP equation with log-singular non-linearity
Emeric Bouin, Christopher Henderson
We consider a class of reaction-diffusion equations of Fisher-KPP type in which the nonlinearity (reaction term) is merely at due to a logarithmic competition term.…
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…
Non-local competition slows down front acceleration during dispersal evolution
Vincent Calvez, Christopher Henderson, Sepideh Mirrahimi +2
We investigate the super-linear spreading in a reaction-diffusion model analogous to the Fisher-KPP equation, but in which the population is heterogeneous with respect to the dispe…