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Energy Methods in Continuum Mechanics

Proceedings of the Workshop on Energy Methods for Free Boundary Problems in Continuum Mechanics, held in Oviedo, Spain, March 21–23, 1994

  • S. N. Antontsev
  • J. I. Díaz
  • S. I. Shmarev
Conference proceedings

About these proceedings

Introduction

This volume contains the proceedings of the Workshop Energy Methods for Free Boundary Problems in Continuum Mechanics, held in Oviedo, Spain, from March 21 to March 23, 1994. It is well known that the conservation laws and the constitutive equations of Continuum Mechanics lead to complicated coupled systems of partial differential equations to which, as a rule, one fails to apply the techniques usually employed in the studies of scalar uncoupled equations such as, for instance, the maximum principle. The study of the qualitative behaviour of solutions of the systems re­ quires different techniques, among others, the so called, Energy Methods where the properties of some integral of a nonnegative function of one or several unknowns allow one to arrive at important conclusions on the envolved unknowns. This vol­ ume presents the state of the art in such a technique. A special attention is paid to the class of Free Boundary Problems. The organizers are pleased to thank the European Science Foundation (Pro­ gram on Mathematical treatment of free boundary problems), the DGICYT (Spain), the FICYT (Principado de Asturias, Spain) and the Universities of Oviedo and Complutense de Madrid for their generous financial support. Finally, we wish to thank Kluwer Academic Publishers for the facilities received for the publication of these Proceedings.

Keywords

calculus continuum mechanics convection magnetohydrodynamics maximum principle mechanics partial differential equation

Editors and affiliations

  • S. N. Antontsev
    • 1
  • J. I. Díaz
    • 2
  • S. I. Shmarev
    • 1
  1. 1.Lavrentyev Institute of HydrodynamicsNovosibirskRussia
  2. 2.Universidad Complutense de MadridSpain

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-0337-1
  • Copyright Information Springer Science+Business Media B.V. 1996
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-6638-9
  • Online ISBN 978-94-009-0337-1
  • Buy this book on publisher's site
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