The fragmentation equation with size diffusion: small and large size behavior of stationary solutions

DOI10.3934/krm.2021032zbMath1484.45007arXiv2105.10166OpenAlexW3165133923MaRDI QIDQ2667543

Christoph Walker, Philippe Laurençot

Publication date: 4 March 2022

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.10166

zbMATH Keywords

asymptoticsfragmentationstationary solutionsize diffusion

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Asymptotics of solutions to integral equations (45M05)

Related Items (1)

The fragmentation equation with size diffusion: Well posedness and long-term behaviour

Uses Software

• DLMF

Cites Work

• Unnamed Item
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• Upper Maxwellian bounds for the spatially homogeneous Boltzmann equation
• Elliptic partial differential equations of second order
• Self-similar solutions of fragmentation equations revisited
• Propagation of stretched exponential moments for the Kac equation and Boltzmann equation with Maxwell molecules
• Fine asymptotics of profiles and relaxation to equilibrium for growth-fragmentation equations with variable drift rates
• On Mittag-Leffler Moments for the Boltzmann Equation for Hard Potentials Without Cutoff
• A New Approach to the Creation and Propagation of Exponential Moments in the Boltzmann Equation
• On Pointwise Exponentially Weighted Estimates for the Boltzmann Equation
• On the Distribution of the Sizes of Particles which Undergo Splitting

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