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Mass-Conserving Self-Similar Solutions to Collision-Induced Breakage Equations
Published 10 May 2024 in math.AP | (2405.06757v1)
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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