111 citations · 300 across the 44 of their papers we have counts for
5 papers · 2 filters
On Global Stability for Lifschitz-Slyozov-Wagner like equations
Joseph G. Conlon, Barbara Niethammer
This paper is concerned with the stability and asymptotic stability at large time of solutions to a system of equations, which includes the Lifschitz-Slyozov-Wagner (LSW) system in…
Self-similar solutions with fat tails for Smoluchowski's coagulation equation with locally bounded kernels
Barbara Niethammer, Juan J. L. Velazquez
The existence of self-similar solutions with fat tails for Smoluchowski's coagulation equation has so far only been established for the solvable and the diagonal kernel. In this pa…
Self-similar Solutions to a Kinetic Model for Grain Growth
Michael Herrmann, Philippe Laurençot, Barbara Niethammer
We prove the existence of self-similar solutions to the Fradkov model for two-dimensional grain growth, which consists of an infinite number of nonlocally coupled transport equatio…
Asymptotics of self-similar solutions to coagulation equations with product kernel
J. B. McLeod, B. Niethammer, J. J. L. Velázquez
We consider mass-conserving self-similar solutions for Smoluchowski's coagulation equation with kernel with . It is known that such self-similar solu…
Self-similar solutions with fat tails for a coagulation equation with diagonal kernel
Barbara Niethammer, Juan J. J. L. Velázquez
We consider self-similar solutions of Smoluchowski's coagulation equation with a diagonal kernel of homogeneity . We show that there exists a family of second-kind self-simil…