The Hamilton-Type Principle in Fluid Dynamics

Fundamentals and Applications to Magnetohydrodynamics, Thermodynamics, and Astrophysics

  • Angel Fierros Palacios

Table of contents

  1. Front Matter
    Pages i-xxv
  2. Pages 1-18
  3. Pages 19-38
  4. Pages 39-60
  5. Pages 61-94
  6. Pages 95-126
  7. Pages 127-156
  8. Pages 157-184
  9. Pages 185-206
  10. Pages 239-266
  11. Pages 293-332
  12. Back Matter
    Pages 403-404

About this book

Introduction

The objective of this book is to contribute to specialized literature with the most significant results obtained by the author in Continuous Mechanics and Astrophysics. The nature of the book is largely determined by the fact that it describes Fluid Dynamics,Magnetohydrodynamics,and Classical Thermodynamics as branches of Lagrange’s Analytical Mechanics; and in that sense, the approach presented in it is markedly different from the treatment given to them in traditional text books. In order to reach that goal, a Hamilton-Type Variational Principle, as the proper mathermatical technique for the theoretical description of the dy- mic state of any fluid is formulated. The scheme is completed proposing a new group of variations regarding the evolution parameter which is time; and with the demonstration of a theorem concerning the invariance of the action integral under continuous and infinitesimal temporary transfor- tions. With all that has been mentioned before and taking into account the methodsof thecalculusof variationsandtheadequateboundaryconditions, a general methodology for the mathematical treatment of fluid flows characteristic of Fluid Dynamics, Magnetohydrodynamics, and also fluids at rest proper of Classical Thermodynamics is presented.

Keywords

Alfven's wave equation Hamilton principle analytical mechanics astrophysics convection fluid dynamics ideal fluids lagrangian function magnetic field magnetohydrodynamics

Authors and affiliations

  • Angel Fierros Palacios
    • 1
  1. 1.Instituto de Investigaciones EléctricasCuernavaca, MorelosMéxico

Bibliographic information

  • DOI https://doi.org/10.1007/3-211-34324-5
  • Copyright Information Springer-Verlag/Wien 2006
  • Publisher Name Springer, Vienna
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-211-24964-2
  • Online ISBN 978-3-211-34324-1
  • About this book