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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

  • Conference proceedings
  • © 1996

Overview

Editors:
  1. S. N. Antontsev

    1. Lavrentyev Institute of Hydrodynamics, Novosibirsk, Russia

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  2. J. I. Díaz

    1. Universidad Complutense de Madrid, Spain

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  3. S. I. Shmarev

    1. Lavrentyev Institute of Hydrodynamics, Novosibirsk, Russia

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Table of contents (13 papers)

  1. Front Matter

    Pages i-vii
    Download chapter PDF

  2. Quasilinear Parabolic Equations with Non-Isotropic Nonlinearities: Space and Time Localization

    • S. N. Antontsev
    Pages 1-12

  3. On the Boundary Layer for Dilatant Fluids

    • S. N. Antontsev, J. I. Diaz, S. I. Shmarev
    Pages 13-21

  4. Minimal Energy for a Free Ball on an Elastic Membrane

    • J. Bemelmans, M. Chipot
    Pages 22-30

  5. Energy Methods for Higher Order Elliptic and Parabolic Problems

    • Francisco Bernis
    Pages 31-37

  6. The Analysis of Diffusion Controlled Reactions with Non-Equal Diffusivities of the Reactants

    • Amable Liñan
    Pages 38-48

  7. The Boundary-Layer Problems for Some Models of Channel and Filtration Flows of a Viscous Compressible Fluid

    • V. N. Monakhov, E. N. Razinkov, N. V. Khusnutdinova
    Pages 49-65

  8. Asymptotic Stability for Nonlinear Parabolic Systems

    • Patrizia Pucci, James Serrin
    Pages 66-74

  9. Nonlocal Symmetries in Nonlinear Heat Equations

    • V. V. Pukhnachov
    Pages 75-99

  10. Spatial Decay Estimates for Cone- like Shaped Elastic Solids

    • Ramón Quintanilla
    Pages 100-111

  11. Energy Fluid Motions Stability for Free Boundary like Problems in the Exterior of Convex Starshaped Domains

    • S. Rionero
    Pages 112-125

  12. Variational Limit of Compressible to Incompressible Fluid

    • Lisa Santos
    Pages 126-144

  13. Stability Thresholds for Convection when the Viscosity has a General Form of Temperature Dependence

    • Brian Straughan
    Pages 145-157

  14. Energy Methods in Magnetohydrodynamics

    • H. Tasso
    Pages 158-174
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Keywords

About this book

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.

Editors and Affiliations

  • Lavrentyev Institute of Hydrodynamics, Novosibirsk, Russia

    S. N. Antontsev, S. I. Shmarev

  • Universidad Complutense de Madrid, Spain

    J. I. Díaz

Bibliographic Information

  • Book Title: Energy Methods in Continuum Mechanics

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

  • Editors: S. N. Antontsev, J. I. Díaz, S. I. Shmarev

  • DOI: https://doi.org/10.1007/978-94-009-0337-1

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Kluwer Academic Publishers 1996

  • Hardcover ISBN: 978-0-7923-4229-8Published: 30 November 1996

  • Softcover ISBN: 978-94-010-6638-9Published: 20 September 2011

  • eBook ISBN: 978-94-009-0337-1Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: VII, 174

  • Topics: Solid Mechanics, Classical Mechanics, Fluid- and Aerodynamics, Partial Differential Equations, Mathematical Modeling and Industrial Mathematics

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