Large time behavior for a Hamilton-Jacobi equation in a critical Coagulation-Fragmentation model
Analysis of PDEs
2020-10-02 v2
Abstract
We study the large time behavior of the sublinear viscosity solution to a singular Hamilton-Jacobi equation that appears in a critical Coagulation-Fragmentation model with multiplicative coagulation and constant fragmentation kernels. Our results include complete characterizations of stationary solutions and optimal conditions to guarantee large time convergence. In particular, we obtain convergence results under certain natural conditions on the initial data, and a nonconvergence result when such conditions fail.
Cite
@article{arxiv.2004.13619,
title = {Large time behavior for a Hamilton-Jacobi equation in a critical Coagulation-Fragmentation model},
author = {Hiroyoshi Mitake and Hung V. Tran and Truong-Son Van},
journal= {arXiv preprint arXiv:2004.13619},
year = {2020}
}
Comments
Change format, updating typos and bibliography