Mathematical Modelling of Physical Systems
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Beschreibung
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.
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.
Provides a comprehensive resource for graduate students and researchers in classical thermodynamics and mechanics Offers a well-balanced mathematical analysis of modelling physical systems Summarizes basic principles in differential geometry and convex analysis as needed
Autor*in
Michel Cessenat
Themen in »Mathematical Modelling of Physical Systems«
Mathematical modeling thermostructure classical mechanics fluid mechanics modelling behavior laws termo-reversibility convexity properties thermosystems physical systems kinetic modeling force-velocity relations in convex analysis
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“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)
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