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arXiv · 2405.06757

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

Ram Gopal Jaiswal·Ankik Kumar Giri
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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.

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Ram Gopal Jaiswal, Ankik Kumar Giri. 2024-05-10. Mass-Conserving Self-Similar Solutions to Collision-Induced Breakage Equations. https://arxiv.org/abs/2405.06757

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