Singularly Perturbed Evolution Equations With Applications To Kinetic Theory
Author:   Jacek Banasiak (Univ Of Pretoria, South Africa) ,  Janusz R Mika (Univ Of Natal, South Africa)
Publisher:   World Scientific Publishing Co Pte Ltd
Volume:   34
ISBN:  

9789810221256


Pages:   324
Publication Date:   01 October 1995
Format:   Hardback
Availability:   In Print   Availability explained
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Singularly Perturbed Evolution Equations With Applications To Kinetic Theory


Overview

In recent years there appeared a large number of papers, as well as chapters in more general monographs, devoted to evolution equations containing small (or large) parameters. This text gathers the existing literature and introduces new results concerning singularly perturbed evolution equations of the resonance type which are of interest in the applied sciences. This is particularly true in the case of kinetic theory which is chosen as a field of application for the asymptotic theory developed in the monograph.

Full Product Details

Author:   Jacek Banasiak (Univ Of Pretoria, South Africa) ,  Janusz R Mika (Univ Of Natal, South Africa)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Volume:   34
ISBN:  

9789810221256


ISBN 10:   9810221258
Pages:   324
Publication Date:   01 October 1995
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Mathematical preliminaries, basic definitions and theorems from the theory of boundary value problems and semigroups of operators in Banach spaces; formal asymptotic expansion, singularly perturbed evolution equations of the resonance type standard asymptotic expansion; general theory of singularly perturbed evolution equations with bounded operators, bounded generators; applications to the kinetic theory, general properties of linear kinetic equations, existence theorems, equations with bounded operators of resonance type, equations with unbounded operators of resonance type; nonlinear equations, selected examples of nonlinear kinetic equations.

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