41 citations · 275 across the 32 of their papers we have counts for
9 papers · 1 filter
Long time asymptotics for homoenergetic solutions of the Boltzmann equation. Collision-dominated case
Richard D. James, Alessia Nota, Juan J. L. Velázquez
In this paper we present a formal analysis of the long-time asymptotics of a particular class of solutions of the Boltzmann equation, known as homoenergetic solutions, which have t…
The two-particle correlation function for systems with long-range interactions
Juan J. L. Velázquez, Raphael Winter
In this paper, we study the truncated two-particle correlation function in particle systems with long range interactions. For Coulombian and soft potentials, we define and give wel…
Self-similar profiles for homoenergetic solutions of the Boltzmann equation: particle velocity distribution and entropy
Richard D. James, Alessia Nota, Juan J. L. Velázquez
In this paper we study a class of solutions of the Boltzmann equation which have the form where $L\left( t\right) =A\…
From a non-Markovian system to the Landau equation
Juan J. L. Velázquez, Raphael Winter
In this paper, we prove that in macroscopic times of order one, the solutions to the truncated BBGKY hierarchy (to second order) converge in the weak coupling limit to the solution…
On the growth of a particle coalescing in a Poisson distribution of obstacles
Alessia Nota, Juan J. L. Velázquez
In this paper we consider the coalescence dynamics of a tagged particle moving in a random distribution of particles with volumes independently distributed according to a probabili…
Blow-up rate estimates for the solutions of the bosonic Boltzmann-Nordheim equation
J. Bandyopadhyay, J. J. L. Velazquez
In this paper we study the behavior of a class of mild solutions of the homogeneous and isotropic bosonic Boltzmann-Nordheim equation near the blow-up. We obtain some estimates on…