Models of Phase Transitions
Seiten
1996
|
1996 ed.
Birkhauser Boston Inc (Verlag)
978-0-8176-3768-2 (ISBN)
Birkhauser Boston Inc (Verlag)
978-0-8176-3768-2 (ISBN)
Phase transitions occur in several processes of physical and engineering interest. This text deals with the analysis of models of solid-liquid systems. Its main purpose is to offer an introduction to the classical Stefan problem and to some of its physically motivated extensions.
..."What do you call work?" "Why ain't that work?" Tom resumed his whitewashing, and answered carelessly: "Well. lI1a),he it is, and maybe it aill't. All I know, is, it suits Tom Sawvc/:" "Oil CO/lll!, IIOW, Will do not mean to let 011 that you like it?" The brush continued to move. "Likc it? Well, I do not see wlzy I oughtn't to like it. Does a hoy get a chance to whitewash a fence every day?" That put the thing ill a Ilew light. Ben stopped nibhling the apple ...(From Mark Twain's Adventures of Tom Sawyer, Chapter II.) Mathematics can put quantitative phenomena in a new light; in turn applications may provide a vivid support for mathematical concepts. This volume illustrates some aspects of the mathematical treatment of phase transitions, namely, the classical Stefan problem and its generalizations. The in- tended reader is a researcher in application-oriented mathematics. An effort has been made to make a part of the book accessible to beginners, as well as physicists and engineers with a mathematical background. Some room has also been devoted to illustrate analytical tools.
This volume deals with research I initiated when I was affiliated with the Istituto di Analisi Numerica del C.N.R. in Pavia, and then continued at the Dipartimento di Matematica dell'Universita di Trento. It was typeset by the author in plain TEX.
..."What do you call work?" "Why ain't that work?" Tom resumed his whitewashing, and answered carelessly: "Well. lI1a),he it is, and maybe it aill't. All I know, is, it suits Tom Sawvc/:" "Oil CO/lll!, IIOW, Will do not mean to let 011 that you like it?" The brush continued to move. "Likc it? Well, I do not see wlzy I oughtn't to like it. Does a hoy get a chance to whitewash a fence every day?" That put the thing ill a Ilew light. Ben stopped nibhling the apple ...(From Mark Twain's Adventures of Tom Sawyer, Chapter II.) Mathematics can put quantitative phenomena in a new light; in turn applications may provide a vivid support for mathematical concepts. This volume illustrates some aspects of the mathematical treatment of phase transitions, namely, the classical Stefan problem and its generalizations. The in- tended reader is a researcher in application-oriented mathematics. An effort has been made to make a part of the book accessible to beginners, as well as physicists and engineers with a mathematical background. Some room has also been devoted to illustrate analytical tools.
This volume deals with research I initiated when I was affiliated with the Istituto di Analisi Numerica del C.N.R. in Pavia, and then continued at the Dipartimento di Matematica dell'Universita di Trento. It was typeset by the author in plain TEX.
Reader’s Guide.- 1. Some Nonlinear P.D.E.s.- Prelude.- I. Models and P.D.E.s.- II. A Class of Quasilinear Parabolic P.D.E.s.- III. Doubly Nonlinear Parabolic P.D.E.s.- 2. Phase Transitions.- IV. The Stefan Problem.- V. Generalizations of the Stefan Problem.- VI. The Gibbs-Thomson Law.- VII. Nucleation and Growth.- VIII. The Stefan-Gibbs-Thomson Problem with Nucleation.- IX. Two-Scale Models of Phase Transitions.- X. Compactness by Strict Convexity.- XI. Toolbox.- Book Selection.
| Erscheint lt. Verlag | 1.12.1996 |
|---|---|
| Reihe/Serie | Progress in Nonlinear Differential Equations and Their Applications ; 28 |
| Zusatzinfo | X, 326 p. |
| Verlagsort | Secaucus |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
| Mathematik / Informatik ► Mathematik ► Analysis | |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Naturwissenschaften ► Physik / Astronomie ► Festkörperphysik | |
| ISBN-10 | 0-8176-3768-0 / 0817637680 |
| ISBN-13 | 978-0-8176-3768-2 / 9780817637682 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
was jeder über Informatik wissen sollte
Buch | Softcover (2024)
Springer Vieweg (Verlag)
CHF 53,15
Grundlagen – Anwendungen – Perspektiven
Buch | Softcover (2022)
Springer Vieweg (Verlag)
CHF 53,15
Teil 2 der gestreckten Abschlussprüfung Fachinformatiker/-in …
Buch | Softcover (2025)
Europa-Lehrmittel (Verlag)
CHF 37,90
