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arXiv · 1808.07130

Global classical solutions to the continuous coagulation equation with collisional breakage

Prasanta Kumar Barik·Ankik Kumar Giri
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Abstract

Existence and uniqueness of mass-conserving classical solutions to the continuous coagulation equation with collisional breakage are investigated for an unbounded class of collision kernels and a particular case of the distribution function. The distribution function may have a possibility to attain singularity at the origin. The proof of the existence result relies on the compactness method. Moreover, a uniqueness result is shown. In addition, it is observed that the uniqueness solution is mass-conserving.

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Prasanta Kumar Barik, Ankik Kumar Giri. 2018-08-21. Global classical solutions to the continuous coagulation equation with collisional breakage. https://arxiv.org/abs/1808.07130

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