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The Classical Stefan Problem (v. 45) by S. C. Gupta (Hardback)
£90.00
Out of stock
Product Ref. (e.g. ISBN, SKU)
9780444510860
Published:
22 Oct 2003
Format:
Hardback
Number of pages:
385 pages
Dimensions:
233x162x24mm
Weight:
0.710kgs
Author:
v. 45 from the North-Holland series in applied mathematics and mechanics series.
S.C. Gupta clarifies a wide range of Stefan problems before discussing methods and solutions. Only the main features of proofs and a few results are included, but a full bibliography is included and appropriate references have been cited to allow the reader to follow the key points.
This volume emphasises studies related to classical Stefan problems. The term "Stefan problem" is generally used for heat transfer problems with phase-changes such as from the liquid to the solid. Stefan problems have some characteristics that are typical of them, but certain problems arising in fields such as mathematical physics and engineering also exhibit characteristics similar to them. The term ``classical" distinguishes the formulation of these problems from their weak formulation, in which the solution need not possess classical derivatives. Under suitable assumptions, a weak solution could be as good as a classical solution. In hyperbolic Stefan problems, the characteristic features of Stefan problems are present but unlike in Stefan problems, discontinuous solutions are allowed because of the hyperbolic nature of the heat equation. The numerical solutions of inverse Stefan problems, and the analysis of direct Stefan problems are so integrated that it is difficult to discuss one without referring to the other. So no strict line of demarcation can be identified between a classical Stefan problem and other similar problems. On the other hand, including every related problem in the domain of classical Stefan problem would require several volumes for their description. A suitable compromise has to be made. The basic concepts, modelling, and analysis of the classical Stefan problems have been extensively investigated and there seems to be a need to report the results at one place. This book attempts to answer that need.
About the Author: Professor S.C. Gupta retired in 1997 from the Department of Mathematics, Indian Institute of Science, Bangalore, India. He holds a PhD in Solid Mechanics and a DSc in "Analytical and Numerical Solutions of Free Boundary Problems.” His areas of research are inclusion and inhomogeneity problems, thermoelasticity, numerical computations, analytical and numerical solutions of free boundary problems and Stefan problems. He has published numerous articles in reputed international journals in many areas of his research.
| Number of pages | 385 |
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