Applied Nonlinear Semigroups (Hardcover)
A. Belleni-Morante
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AbeBooks Seller since 29 June 2022
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Add to basketSold by CitiRetail, Stevenage, United Kingdom
AbeBooks Seller since 29 June 2022
Condition: New
Quantity: 1 available
Add to basketHardcover. Mathematical Methods in Practice Advisory Editors Bruno Brosowski Universitaet 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. In applied mathematics, nonlinear semigroups techniques often impact diverse problems from modeling traffic flows, to neutron transport, to coagulation. This text introduces theory and application of semigroups of both linear and nonlinear operators used to develop mathematical models which monitor the status of systems over time. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.
Seller Inventory # 9780471978671
A. Belleni-Morante, University of Florence, Italy.
A. C. McBride, University of Strathclyde Glasgow, Scotland
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