Mass-Conserving Self-Similar Solutions to Collision-Induced Breakage Equations
Analysis of PDEs
2024-05-14 v1
Abstract
Existence of mass-conserving self-similar solutions to collision-induced breakage equation is shown for a specific class of homogeneous collision kernels and breakage functions. The proof mainly relies on a dynamical approach and compactness method to constructing mass-conserving stationary solutions for an evolution problem, which induces mass-conserving self-similar solutions to collision-induced breakage equation. Furthermore, we also determine lower and upper bound of the scaling profile.
Keywords
Cite
@article{arxiv.2405.06757,
title = {Mass-Conserving Self-Similar Solutions to Collision-Induced Breakage Equations},
author = {Ram Gopal Jaiswal and Ankik Kumar Giri},
journal= {arXiv preprint arXiv:2405.06757},
year = {2024}
}