The Classical Stefan Problem

Basic Concepts, Modelling and Analysis

Nonfiction, Science & Nature, Science, Physics, General Physics, Mathematics
Cover of the book The Classical Stefan Problem by S.C. Gupta, Elsevier Science
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: S.C. Gupta ISBN: 9780080529165
Publisher: Elsevier Science Publication: October 22, 2003
Imprint: JAI Press Language: English
Author: S.C. Gupta
ISBN: 9780080529165
Publisher: Elsevier Science
Publication: October 22, 2003
Imprint: JAI Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Elsevier Science

Cover of the book Remote Sensing of Aerosols, Clouds, and Precipitation by S.C. Gupta
Cover of the book Mathematics Applied to Engineering by S.C. Gupta
Cover of the book The Handbook for School Safety and Security by S.C. Gupta
Cover of the book Materials Selection in Mechanical Design by S.C. Gupta
Cover of the book High-Throughput Formulation Development of Biopharmaceuticals by S.C. Gupta
Cover of the book Elements of Physical Oceanography by S.C. Gupta
Cover of the book Advances in Clinical Chemistry by S.C. Gupta
Cover of the book Insect Molecular Genetics by S.C. Gupta
Cover of the book Rare Earths by S.C. Gupta
Cover of the book Reliability Based Aircraft Maintenance Optimization and Applications by S.C. Gupta
Cover of the book Adenosine Receptors in Neurodegenerative Diseases by S.C. Gupta
Cover of the book Nutrition in the Prevention and Treatment of Disease by S.C. Gupta
Cover of the book Hydraulic Fracture Modeling by S.C. Gupta
Cover of the book Supra-materials Nanoarchitectonics by S.C. Gupta
Cover of the book Making a Collection Count by S.C. Gupta
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy