Calculus of Variations and Geometric Measure Theory
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P. R. A. S. A. N. T. A. K. U. M. A. R. BARIK - Ankik Kumar Giri

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

created by barik on 23 Aug 2018

[BibTeX]

preprint

Inserted: 23 aug 2018

Year: 2018

ArXiv: 1806.03911 PDF

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 L1 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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