Mathematical Modelling of Physical Systems

Michel Cessenat (Autor)

Buch | Hardcover

XVII, 505 Seiten

2018 | 1st ed. 2018
Springer International Publishing (Verlag)
978-3-319-94757-0 (ISBN)

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Comprehensive and thorough, this monograph emphasizes the main role differential geometry and convex analysis play in the understanding of physical, chemical, and mechanical notions. Central focus is placed on specifying the agreement between the functional framework and its physical necessity and on making clear the intrinsic character of physical elements, independent from specific charts or frames. The book is divided into four sections, covering thermostructure, classical mechanics, fluid mechanics modelling, and behavior laws. An extensive appendix provides notations and definitions as well as brief explanation of integral manifolds, symplectic structure, and contact structure. Plenty of examples are provided throughout the book, and reviews of basic principles in differential geometry and convex analysis are presented as needed. This book is a useful resource for graduate students and researchers in the field.

Michel Cessenat is a mathematician at the Société de Mathématiques Appliquées et Industrielles and a former researcher at Center for Atomic Energy, France. He is the author of Mathematical Methods in Electromagnetism: Linear Theory and Applications (World Scientific, 1996) and a co-author of Méthodes Probabilistes pour les équations de la physique (Eyrolles, 1989). He has also made contributions to the work presented in the six-volume set Mathematical Analysis and Numerical Methods for Science and Technology by Robert Dautray and Jacques-Louis Lions (Springer, 2000).

1. Thermostructure.- 2. Classical Mechanics.- 3. Fluid mechanics modelling.- 4. Behavior Laws.- 5. Appendix.

"This higher level book will certainly be a useful resource for graduate students and researchers in mathematical modeling of physical systems. The book is recommended for university libraries and research establishments." (K. N. Shukla, zbMATH 1428.80002, 2020)
"The book is not only a useful resource for researchers in applied mathematics, but can also be used as a demanding textbook for graduate students with a solid knowledge in differential geometry and functional analysis." (Theophanes Grammenos, Mathematical Reviews, July, 2019)

Erscheinungsdatum	21.09.2018
Zusatzinfo	XVII, 505 p. 2 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	943 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	behavior laws • classical mechanics • convexity properties • fluid mechanics modelling • force-velocity relations in convex analysis • kinetic modeling • Mathematical Modeling • Physical Systems • termo-reversibility • thermostructure • thermosystems
ISBN-10	3-319-94757-5 / 3319947575
ISBN-13	978-3-319-94757-0 / 9783319947570
Zustand	Neuware