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

Weak solutions to the continuous coagulation model with collisional breakage

created by barik on 23 Aug 2018

[BibTeX]

preprint

Inserted: 23 aug 2018

Year: 2018

ArXiv: 1805.10137 PDF

Abstract:

A global existence theorem on weak solutions is shown for the continuous coagulation equation with collisional breakage under certain classes of unbounded collision kernels and distribution functions. This model describes the dynamics of particle growth when binary collisions occur to form either a single particle via coalescence or twomore particles via breakup with possible transfer of mass. Each of these processes may take place with a suitably assigned probability depending on the volume of particles participating in the collision. The distribution function may have a possibility to attain an algebraic singularity for small volumes.

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