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- W2025442921 abstract "A number of new coagulation models depending on a parameter is derived. The dependence is considered in two different ways. If the parameter takes its maximal value then in the first case we obtain a new discrete kinetic equation. We demonstrate that its continuous version is simply the Oort-Hulst's coagulation model. In the second case, the maximum of the corresponding parameter yields the Smoluchowski coagulation equation. At the minimal values of both parameters we arrive at another new kinetic equation. These three models form a `triangle' connecting the two known coagulation equations `situated' in its vertexes (Smoluchowski and Oort-Hulst equations) via an alteration of the parameters. Also, a comparative analysis of these three models is presented. As an advantage of the Oort-Hulst approach we compute the coagulation front and establish a connection between the infringement of the mass conservation law and convergence of the coagulation front to infinity." @default.
- W2025442921 created "2016-06-24" @default.
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- W2025442921 date "1999-01-01" @default.
- W2025442921 modified "2023-09-26" @default.
- W2025442921 title "A `triangle' of interconnected coagulation models" @default.
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- W2025442921 doi "https://doi.org/10.1088/0305-4470/32/5/010" @default.
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