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arXiv · 1806.03911

Existence and uniqueness of weak solutions to the singular kernels coagulation equation with collisional breakage

Prasanta Kumar Barik·Ankik Kumar Giri
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Abstract

In this article, we investigate the existence and uniqueness of weak solutions to the continuous coagulation equation with collisional breakage for a class of unbounded collision kernels and distribution function. The collision kernels and distribution functions may have a singularity on both the coordinate axes. The proof of the existence result is based on a classical weak L^1 compactness method applied to suitably chosen to approximate equations. The question of uniqueness is also shown for some restricted class of collision kernels.

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Prasanta Kumar Barik, Ankik Kumar Giri. 2018-06-11. Existence and uniqueness of weak solutions to the singular kernels coagulation equation with collisional breakage. https://arxiv.org/abs/1806.03911

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