Exact Solutions of Fragmentation Equations with General Fragmentation Rates and Separable Particles Distribution Kernels | Zendy

Suares Clovis Oukouomi Noutchie | Zendy; Emile Franc Doungmo Goufo | Zendy

Open Access

Exact Solutions of Fragmentation Equations with General Fragmentation Rates and Separable Particles Distribution Kernels

Author(s) -

Suares Clovis Oukouomi Noutchie,

Emile Franc Doungmo Goufo

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/789769

Subject(s) - fragmentation (computing) , laplace transform , separable space , mathematics , mathematical analysis , statistical physics , physics , computer science , operating system

We make use of Laplace transform techniques and the method of characteristics to solve fragmentation equations explicitly. Our result is a breakthrough in the analysis of pure fragmentation equations as this is the first instance where an exact solution is provided for the fragmentation evolution equation with general fragmentation rates. This paper is the key for resolving most of the open problems in fragmentation theory including “shattering” and the sudden appearance of infinitely many particles in some systems with initial finite particles number

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