Contractivity for Smoluchowski's coagulation equation with solvable kernels
Analysis of PDEs
2020-10-21 v1
Abstract
We show that the Smoluchowski coagulation equation with the solvable kernels equal to , or is contractive in suitable Laplace norms. In particular, this proves exponential convergence to a self-similar profile in these norms. These results are parallel to similar properties of Maxwell models for Boltzmann-type equations, and extend already existing results on exponential convergence to self-similarity for Smoluchowski's coagulation equation.
Cite
@article{arxiv.2003.11848,
title = {Contractivity for Smoluchowski's coagulation equation with solvable kernels},
author = {José A. Cañizo and Bertrand Lods and Sebastian Throm},
journal= {arXiv preprint arXiv:2003.11848},
year = {2020}
}