Analysis of Smoluchowski’s Coagulation Equation with Injection

Eugenya V. Makoveeva, Dmitri V. Alexandrov, Sergei P. Fedotov

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The stationary solution of Smoluchowski’s coagulation equation with injection is found analytically with different exponentially decaying source terms. The latter involve a factor in the form of a power law function that plays a decisive role in forming the steady-state particle distribution shape. An unsteady analytical solution to the coagulation equation is obtained for the exponentially decaying initial distribution without injection. An approximate unsteady solution is constructed by stitching the initial and final (steady-state) distributions. The obtained solutions are in good agreement with experimental data for the distributions of endocytosed low-density lipoproteins.
Original languageEnglish
Pages (from-to)1159
Issue number8
Early online date17 Aug 2022
Publication statusE-pub ahead of print - 17 Aug 2022


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