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

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

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 eq...

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Main Authors: S. C. Oukouomi Noutchie, E. F. Doungmo Goufo
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2014/789769
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spelling doaj-00e7faa68d7242d18001f108f6d784af2020-11-24T22:45:51ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472014-01-01201410.1155/2014/789769789769Exact Solutions of Fragmentation Equations with General Fragmentation Rates and Separable Particles Distribution KernelsS. C. Oukouomi Noutchie0E. F. Doungmo Goufo1MaSIM Focus Area, North-West University, Mafikeng 2735, South AfricaMaSIM Focus Area, North-West University, Mafikeng 2735, South AfricaWe 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.http://dx.doi.org/10.1155/2014/789769
collection DOAJ
language English
format Article
sources DOAJ
author S. C. Oukouomi Noutchie
E. F. Doungmo Goufo
spellingShingle S. C. Oukouomi Noutchie
E. F. Doungmo Goufo
Exact Solutions of Fragmentation Equations with General Fragmentation Rates and Separable Particles Distribution Kernels
Mathematical Problems in Engineering
author_facet S. C. Oukouomi Noutchie
E. F. Doungmo Goufo
author_sort S. C. Oukouomi Noutchie
title Exact Solutions of Fragmentation Equations with General Fragmentation Rates and Separable Particles Distribution Kernels
title_short Exact Solutions of Fragmentation Equations with General Fragmentation Rates and Separable Particles Distribution Kernels
title_full Exact Solutions of Fragmentation Equations with General Fragmentation Rates and Separable Particles Distribution Kernels
title_fullStr Exact Solutions of Fragmentation Equations with General Fragmentation Rates and Separable Particles Distribution Kernels
title_full_unstemmed Exact Solutions of Fragmentation Equations with General Fragmentation Rates and Separable Particles Distribution Kernels
title_sort exact solutions of fragmentation equations with general fragmentation rates and separable particles distribution kernels
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2014-01-01
description 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.
url http://dx.doi.org/10.1155/2014/789769
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AT efdoungmogoufo exactsolutionsoffragmentationequationswithgeneralfragmentationratesandseparableparticlesdistributionkernels
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