Mass-Conserving Self-Similar Solutions to Collision-Induced Breakage Equations

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 solution...

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Bibliographic Details
Published in:arXiv.org 2024-05
Main Authors: Jaiswal, Ram Gopal, Giri, Ankik Kumar
Format: Article
Language:English
Subjects:
Self-similarity
Upper bounds
Online Access:Get full text
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Summary: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.
ISSN:2331-8422