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Mathematical Modelling of Physical Systems

  • Michel Cessenat

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Michel Cessenat
    Pages 1-149
  3. Michel Cessenat
    Pages 151-334
  4. Michel Cessenat
    Pages 335-405
  5. Michel Cessenat
    Pages 407-469
  6. Back Matter
    Pages 471-505

About this book

Introduction

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.

Keywords

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

Authors and affiliations

  • Michel Cessenat
    • 1
  1. 1.Institut Henri PoincaréSociété de Mathématiques Appliquées et IndustriellesParis Cedex 05, ParisFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-94758-7
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2018
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-94757-0
  • Online ISBN 978-3-319-94758-7
  • Buy this book on publisher's site