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  • © 2000

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

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

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Table of contents (5 chapters)

  1. Front Matter

    Pages I-VI
  2. Introduction

    • Martin Fuchs, Gregory Seregin
    Pages 1-4
  3. Quasi-static fluids of generalized Newtonian type

    • Martin Fuchs, Gregory Seregin
    Pages 131-206
  4. Back Matter

    Pages 260-269

About this book

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
  • partial differential equations

Bibliographic Information

Buying options

eBook USD 39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions