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arxiv: 1901.10670 · v1 · pith:QKTG4IQWnew · submitted 2019-01-30 · 🧮 math.CA

Modelling Silicosis: The Structure of Equilibria

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keywords caseequilibriacoefficientsresultssilicosisstructureanalysearise
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We analyse the structure of equilibria of a coagulation-fragmentation-death model of silicosis. We present exact multiplicity results in the particular case of piecewise-constant coefficients, results on existence and non-existence of equilibria in the general case, as well as precise asymptotics for the infinite series that arise in the case of power law coefficients.

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