Coagulation-Fragmentation equations with multiplicative coagulation kernel and constant fragmentation kernel
Analysis of PDEs
2020-07-02 v3
Abstract
We study a critical case of Coagulation-Fragmentation equations with multiplicative coagulation kernel and constant fragmentation kernel. Our method is based on the study of viscosity solutions to a new singular Hamilton-Jacobi equation, which results from applying the Bernstein transform to the original Coagulation-Fragmentation equation. Our results include wellposedness, regularity and long-time behaviors of viscosity solutions to the Hamilton-Jacobi equation in certain regimes, which have implications to wellposedness and long-time behaviors of \emph{mass-conserving} solutions to the Coagulation-Fragmentation equation.
Cite
@article{arxiv.1910.13424,
title = {Coagulation-Fragmentation equations with multiplicative coagulation kernel and constant fragmentation kernel},
author = {Hung V. Tran and Truong-Son Van},
journal= {arXiv preprint arXiv:1910.13424},
year = {2020}
}
Comments
Improvements in presentation, fixing typos and misprints