Applied Nonlinear Semigroups: An Introduction

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9780471978671: Applied Nonlinear Semigroups: An Introduction
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Mathematical Methods in Practice Advisory Editors Bruno BrosowskiUniversität Frankfurt Germany Gary F. Roach University ofStrathclyde UK Volume 3 Applied Nonlinear Semigroups A.Belleni-Morante University of Florence, Italy A. C. McBrideUniversity of Strathclyde, UK In many disciplines such as physics,chemistry, biology, meteorology, electronics and economics, it isincreasingly necessary to develop mathematical models that describehow the state of a system evolves with time. A useful way ofstudying such a model is to recast the appropriate evolutionequation as an Abstract Cauchy Problem (ACP), which can then beanalysed via the powerful theory of semigroups of operators. Theuser-friendly presentation in the book is centred on AbstractCauchy Problems which model various processes such as particletransport,diffusion and combustion, all of which are examples ofsystems which evolve with time. The authors provide an introductionto the requisite concepts from functional analysis before moving onto the theory of semigroups of linear operators and theirapplication to linear ACPs. These ideas are then applied tosemilinear problems and fully nonlinear problems and it is shownhow results from the linear theory can be extended. Finally, avariety of applications of practical interest are included. Byleading a non-expert to the solutions of problems involvingevolution equations via the theory of semigroups of operators, bothlinear and nonlinear, the book provides an accessible introductionto the treatment of the subject. The reader is assumed to have abasic knowledge of real analysis and vector spaces. M.Sc. andgraduate students of functional analysis, applied mathematics,physics and engineering will find this an invaluable introductionto the subject.

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About the Author:

A. Belleni-Morante, University of Florence, Italy.

 

A. C. McBride, University of Strathclyde Glasgow, Scotland

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Book Description John Wiley and Sons Ltd, United Kingdom, 1998. Hardback. Condition: New. 1. Auflage. Language: English. Brand new Book. Mathematical Methods in Practice Advisory Editors Bruno Brosowski Universitat Frankfurt Germany Gary F. Roach University of Strathclyde UK Volume 3 Applied Nonlinear Semigroups A. Belleni-Morante University of Florence, Italy A. C. McBride University of Strathclyde, UK In many disciplines such as physics, chemistry, biology, meteorology, electronics and economics, it is increasingly necessary to develop mathematical models that describe how the state of a system evolves with time. A useful way of studying such a model is to recast the appropriate evolution equation as an Abstract Cauchy Problem (ACP), which can then be analysed via the powerful theory of semigroups of operators. The user-friendly presentation in the book is centred on Abstract Cauchy Problems which model various processes such as particle transport,diffusion and combustion, all of which are examples of systems which evolve with time. The authors provide an introduction to the requisite concepts from functional analysis before moving on to the theory of semigroups of linear operators and their application to linear ACPs. These ideas are then applied to semilinear problems and fully nonlinear problems and it is shown how results from the linear theory can be extended. Finally, a variety of applications of practical interest are included. By leading a non-expert to the solutions of problems involving evolution equations via the theory of semigroups of operators, both linear and nonlinear, the book provides an accessible introduction to the treatment of the subject. The reader is assumed to have a basic knowledge of real analysis and vector spaces. M.Sc. and graduate students of functional analysis, applied mathematics, physics and engineering will find this an invaluable introduction to the subject. Seller Inventory # AAH9780471978671

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Book Description John Wiley and Sons Ltd, United Kingdom, 1998. Hardback. Condition: New. 1. Auflage. Language: English . Brand New Book. Mathematical Methods in Practice Advisory Editors Bruno Brosowski Universitat Frankfurt Germany Gary F. Roach University of Strathclyde UK Volume 3 Applied Nonlinear Semigroups A. Belleni-Morante University of Florence, Italy A. C. McBride University of Strathclyde, UK In many disciplines such as physics, chemistry, biology, meteorology, electronics and economics, it is increasingly necessary to develop mathematical models that describe how the state of a system evolves with time. A useful way of studying such a model is to recast the appropriate evolution equation as an Abstract Cauchy Problem (ACP), which can then be analysed via the powerful theory of semigroups of operators. The user-friendly presentation in the book is centred on Abstract Cauchy Problems which model various processes such as particle transport,diffusion and combustion, all of which are examples of systems which evolve with time. The authors provide an introduction to the requisite concepts from functional analysis before moving on to the theory of semigroups of linear operators and their application to linear ACPs. These ideas are then applied to semilinear problems and fully nonlinear problems and it is shown how results from the linear theory can be extended. Finally, a variety of applications of practical interest are included. By leading a non-expert to the solutions of problems involving evolution equations via the theory of semigroups of operators, both linear and nonlinear, the book provides an accessible introduction to the treatment of the subject. The reader is assumed to have a basic knowledge of real analysis and vector spaces. M.Sc. and graduate students of functional analysis, applied mathematics, physics and engineering will find this an invaluable introduction to the subject. Seller Inventory # AAH9780471978671

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