A01=A. Belleni-Morante
A01=A. C. McBride
advisory
applied
Author_A. Belleni-Morante
Author_A. C. McBride
bellenimorante university
brosowski
bruno
Category=PBG
Category=PBW
disciplines
editors
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eq_isMigrated=2
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f
florence
frankfurt
germany
many
mathematical
methods
nonlinear
physics
practice
roach university
semigroups
strathclyde
uk
university
volume
Product details
- ISBN 9780471978671
- Weight: 567g
- Dimensions: 157 x 233mm
- Publication Date: 23 Oct 1998
- Publisher: John Wiley & Sons Inc
- Publication City/Country: US
- Product Form: Hardback
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Mathematical Methods in Practice Advisory Editors Bruno Brosowski Universität 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.
A. Belleni-Morante, University of Florence, Italy.
A. C. McBride, University of Strathclyde Glasgow, Scotland
