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Multiplication of Distributions

A tool in mathematics, numerical engineering and theoretical physics

  • Authors
  • Jean François Colombeau

Part of the Lecture Notes in Mathematics book series (LNM, volume 1532)

Table of contents

  1. Front Matter
    Pages I-X
  2. Jean François Colombeau
    Pages 1-12
  3. Jean François Colombeau
    Pages 13-29
  4. Jean François Colombeau
    Pages 30-61
  5. Jean François Colombeau
    Pages 97-123
  6. Jean François Colombeau
    Pages 158-171
  7. Back Matter
    Pages 172-184

About this book

Introduction

This book presents recent and very elementary developments of a theory of multiplication of distributions in the field of explicit and numerical solutions of systems of PDEs of physics (nonlinear elasticity, elastoplasticity, hydrodynamics, multifluid flows, acoustics). The prerequisites are kept to introductory calculus level so that the book remains accessible at the same time to pure mathematicians (as a smoothand somewhat heuristic introdcution to this theory) and to applied mathematicians, numerical engineers and theoretical physicists (as a tool to treat problems involving products of distributions).

Keywords

Elastoplasticity Multifluid flows Shock waves calculus differential equation multiplication of distributions nonlinear hyperbolic systems numerical methods

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0088952
  • Copyright Information Springer-Verlag Berlin Heidelberg 1992
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-56288-7
  • Online ISBN 978-3-540-47510-1
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site