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.
A Magazine of Science Fiction and Fantasy
ISSUE 14: May 2015
Mike Resnick, Editor
Jean Rabe, Assistant Editor
Shahid Mahmud, Publisher
Stories by: Robert A. Heinlein, Jennifer Campbell-Hicks, Harry Turtledove, C. Stuart Hardwick, Michael Bishop, Sean Williams, Nancy Kress, Anna Wu, Tom Gerencer, Alan Dean Foster Larry Niven
Serialization: Melodies of the Heart by Michael Flynn
Columns by: Barry Malzberg, Gregory Benford
Book Reviews: Jody Lynn Nye and Bill Fawcett
Interview: Joy Ward interviews David Brin
Galaxy's Edge is a bi-monthly (every two months) magazine published by Phoenix Pick, the science fiction and fantasy imprint of Arc Manor, an award winning independent press based in Maryland. Each issue of the magazine has a mix of new and old (reprint) stories, a serialization of a novel, columns by Barry Malzberg and Gregory Benford, book reviews by Paul Cook and an interview conducted by Joy Ward.
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