Modelling silicosis: existence, uniqueness and basic properties of solutions

DOI10.1016/J.NONRWA.2021.103299zbMath1468.34063arXiv2005.10042OpenAlexW3129424023MaRDI QIDQ2025897

Rafael Sasportes, João T. Pinto, Fernando Pestana Da Costa

Publication date: 17 May 2021

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.10042

zbMATH Keywords

well-posednesscoagulation-fragmentation-death equationsmodel of silicosis

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Physiology (general) (92C30) Qualitative investigation and simulation of ordinary differential equation models (34C60) Ordinary lattice differential equations (34A33)

Related Items (1)

Existence, uniqueness and mass conservation for Safronov-Dubovski coagulation equation

Cites Work

• The Becker-Döring cluster equations: Basic properties and asymptotic behaviour of solutions
• Basic theory of ordinary differential equations
• Modelling silicosis: The structure of equilibria

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