18 citations · 134 across the 30 of their papers we have counts for
3 papers · 1 filter
On self-similar solutions to a kinetic equation arising in weak turbulence theory for the nonlinear Schrödinger equation
A. H. M. Kierkels, J. J. L. Velázquez
We construct a family of self-similar solutions with fat tails to a quadratic kinetic equation. This equation describes the long time behaviour of weak solutions with finite mass t…
A revised proof of uniqueness of self-similar profiles to Smoluchowski's coagulation equation for kernels close to constant
Barbara Niethammer, Sebastian Throm, Juan J. L. Velázquez
In this article we correct the proof of a uniqueness result for self-similar solutions to Smoluchowski's coagulation equation for kernels that are homogeneous of degree…
A hyperbolic problem with non-local constraint describing ion-rearrangement in a model for ion-lithium batteries
Stefano Scrobogna, Juan J. L. Velázquez
In this paper we study the Fokker-Plank equation arising in a model which describes the charge and discharge process of ion-lithium batteries. In particular we focus our attention…