Exponential relaxation to self-similarity for the superquadratic fragmentation equation
Pierre Gabriel (LM-Versailles), Francesco Salvarani
TL;DR
This paper investigates the self-similar fragmentation equation with a superquadratic rate, providing a quantitative estimate of the spectral gap to understand the exponential relaxation to self-similarity.
Contribution
It offers the first quantitative spectral gap estimate for the superquadratic fragmentation equation, advancing understanding of its long-term behavior.
Findings
Established a spectral gap estimate for the equation
Demonstrated exponential relaxation to self-similarity
Extended analysis to superquadratic fragmentation rates
Abstract
We consider the self-similar fragmentation equation with a superquadratic fragmentation rate and provide a quantitative estimate of the spectral gap.
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