Mathematical and numerical analysis for coagulation-fragmentation eqns

Name: Mathematical and numerical analysis for coagulation-fragmentation eqns
Brand: VDM Verlag
SKU: 9783639375244
Price: 70.17 EUR
Availability: InStock

Автор: Ankik Kumar Giri

Език:

Корици: С меки корици

Издател: VDM Verlag

Наличност: Налично при издателя, по поръчка

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In this work, we study the existence and uniqueness of weak solutions to the continuous coagulation...

Информация за книгата

Автор

Ankik Kumar Giri

Език

Английски език

Корици

Книга - С меки корици

Издадена

2011

страници

168

EAN

9783639375244

ISBN

3639375246

Enbook ID

06844154

Издател

VDM Verlag

Теглоt

254

Размери

152 x 229 x 10

Пълно описание

In this work, we study the existence and uniqueness of weak solutions to the continuous coagulation and multiple fragmentation equations for large classes of kernels. A brief mathematical survey on the well-posedness of the equations under binary fragmentation is given. Later, a uniqueness theorem is proved for mass conserving solutions to the continuous coagulation and binary fragmentation equation under strong fragmentation. Furthermore, we develop the convergence analysis of sectional methods for solving the non-linear pure coagulation equation. Here we examine the most popular of all sectional methods the fixed pivot technique. Finally, we demonstrate practical significance of the mathematical results by performing a few numerical experiments. The fixed pivot technique gives a consistent over prediction of the solution for the large size particles when applied on coarse grids. To overcome this problem, the cell average technique was used which preserves all advantages of the fixed pivot technique and improves the numerical results.

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Mathematical and numerical analysis for coagulation-fragmentation eqns

Информация за книгата

Пълно описание

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