The Hamilton-Type Principle in Fluid Dynamics - Fierros Palacios, Angel

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Résumé :
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.

Biographie:
Angel Fierros Palacios was born in March 1933 in Pochutla, Oaxaca, M?xico. He studied Physics at the Universidad Nacional Autonoma de M?xico (UNAM), where he also obtained a Master degree and Ph. D. in Science. For many years he was Professor at the UNAM and a researcher at the Instituto Mexicano del Petr?leo and at the Instituto Nacional de Investigaciones Nucleares. He also worked at different areas of the public administration such as the Instituto Mexicano del Seguro Social, the Secre-tar?a de Energ?a, as well as the Comisi?n Federal de Electricidad (CFE). He is the author of the project which originated the Instituto de Investiga-ciones El?ctricas (IIE) and also, he was General Director of the Museo Tecnol?gico de la CFE. Presently he is working at the IIE as Director de la Divisi?n de Energ?as Alternas....

Sommaire:
General Principles.- Mass Density.- Analytical Mechanics.- Ideal Fluids.- Potential Flow.- Viscous Fluids.- Free Convection.- Magnetohydrodynamics.- Potential Flow in a Magnetic Field.- Magnetohydrodynamic Waves.- The Sunspots.- The Hamilton Equations of Motion.- Thermodynamics.- The Magnetic Field in the Stability of the Stars.