Variational Models and Methods in Solid and Fluid Mechanics

  • Francesco dell’Isola
  • Sergey Gavrilyuk

Part of the CISM Courses and Lectures book series (CISM, volume 535)

Table of contents

  1. Front Matter
    Pages i-ix
  2. B. Bourdin, G. A. Francfort
    Pages 107-161
  3. Victor L. Berdichevsky
    Pages 211-247
  4. Francesco dell’Isola, Pierre Seppecher, Angela Madeo
    Pages 315-358

About this book


Variational methods give an efficient and elegant way to formulate and solve mathematical problems that are of interest to scientists and engineers. In this book three fundamental aspects of the variational formulation of mechanics will be presented: physical, mathematical and applicative ones.
The first aspect concerns the investigation of the nature of real physical problems with the aim of finding the best variational formulation suitable to those problems. The second aspect is the study of the well-posedeness of those mathematical problems which need to be solved in order to draw previsions from the formulated models. And the third aspect is related to the direct application of variational analysis to solve real engineering problems.


description of diffuse solid-fluid interfaces dynamical problems in damping generation problems variational approach to multiphase flow variational models of brittle fracture mechanics

Editors and affiliations

  • Francesco dell’Isola
    • 1
  • Sergey Gavrilyuk
    • 2
  1. 1.Università “La Sapienza”RomaItaly
  2. 2.Polytech MarseilleFrance

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag GmbH Wien 2011
  • Publisher Name Springer, Vienna
  • eBook Packages Engineering
  • Print ISBN 978-3-7091-0982-3
  • Online ISBN 978-3-7091-0983-0
  • Series Print ISSN 0254-1971
  • Buy this book on publisher's site
Industry Sectors
Materials & Steel
Chemical Manufacturing
Consumer Packaged Goods
Energy, Utilities & Environment
Oil, Gas & Geosciences