© 2011

Variational Models and Methods in Solid and Fluid Mechanics

  • Francesco dell’Isola
  • Sergey Gavrilyuk


  • Contains original results in generalized continua theory and in fracture theory

  • Gives an advanced review in many important topics

  • Will be an essential tool for young researchers intending to start their researchers in the field


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

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