7 citations · 13 across the 5 of their papers we have counts for
5 papers
On the Fundamental Solution of a Homogeneous Linearized Coagulation Equation
M. Escobedo, J. J. L. Velazquez
In this paper we study the fundamental solution of the equation obtained by the linearisation of the Smoluchowski coagulation equation with the multiplicative kernel …
On the Existence of Exponentially Decreasing Solutions of the Nonlinear Landau Damping Problem
Hyung Ju Hwang, Juan J. L. Velazquez
In this paper we prove the existence of a large class of periodic solutions of the Vlasov-Poisson in one space dimension that decay exponentially as t goes to infinity. The exponen…
A Kinetic Model for Grain Growth
Reiner Henseler, Michael Herrmann, Barbara Niethammer +1
We provide a well-posedness analysis of a kinetic model for grain growth introduced by Fradkov which is based on the von Neumann-Mullins law. The model consists of an infinite numb…
On the onset of interference effects during the formation of the Bose-Einstein condensate
M. Escobedo, J. J. L. Velazquez
In this paper we derive the equations characterizing the boundary layer which describes the transition of the distribution function of a gas of weakly interacting bosons to the dis…
Optimal gradient estimates and asymptotic behaviour for the Vlasov-Poisson system with small initial data
Hyung Ju Hwang, Alan D. Rendall, Juan J. L. Velazquez
The Vlasov-Poisson system describes interacting systems of collisionless particles. For solutions with small initial data in three dimensions it is known that the spatial density o…