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Existence and uniqueness theorem for the Safronov–Dubovski coagulation equation

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Abstract

The solutions of the discrete Safronov–Dubovski coagulation equation are investigated. We prove global existence for a class of unbounded coagulation kernels. We also show that for sub-linear unbounded kernels, the mass conservation law holds. Finally, we show that for bounded kernels, this equation has a unique global solution that is continuously dependent on the initial data.

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  1. Stevens Institute of Technology, Castle Point on the Hudson, Hoboken, NJ, 07030, USA

    James Davidson

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  1. James Davidson
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Correspondence to James Davidson.

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Davidson, J. Existence and uniqueness theorem for the Safronov–Dubovski coagulation equation. Z. Angew. Math. Phys. 65, 757–766 (2014). https://doi.org/10.1007/s00033-013-0360-y

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  • DOI: https://doi.org/10.1007/s00033-013-0360-y

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