Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids

  • Authors
  • Martin¬†Fuchs
  • Gregory¬†Seregin

Part of the Lecture Notes in Mathematics book series (LNM, volume 1749)

Table of contents

  1. Front Matter
    Pages I-VI
  2. Martin Fuchs, Gregory Seregin
    Pages 1-4
  3. Martin Fuchs, Gregory Seregin
    Pages 131-206
  4. Back Matter
    Pages 260-269

About this book

Introduction

Variational methods are applied to prove the existence of weak solutions for boundary value problems from the deformation theory of plasticity as well as for the slow, steady state flow of generalized Newtonian fluids including the Bingham and Prandtl-Eyring model. For perfect plasticity the role of the stress tensor is emphasized by studying the dual variational problem in appropriate function spaces. The main results describe the analytic properties of weak solutions, e.g. differentiability of velocity fields and continuity of stresses. The monograph addresses researchers and graduate students interested in applications of variational and PDE methods in the mechanics of solids and fluids.

Keywords

Boundary value problem functional analysis generalized Newtonian fluids plasticity regularity of solutions relexation and duality variational problems

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0103751
  • Copyright Information Springer-Verlag Berlin Heidelberg 2000
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-41397-4
  • Online ISBN 978-3-540-44442-8
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book
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