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The Nonlinear Diffusion Equation

Asymptotic Solutions and Statistical Problems

  • Book
  • © 1974

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Table of contents (10 chapters)

Keywords

About this book

Since the 'Introduction' to the main text gives an account of the way in which the problems treated in the following pages originated, this 'Preface' may be limited to an acknowledgement of the support the work has received. It started during the pe­ riod when I was professor of aero- and hydrodynamics at the Technical University in Delft, Netherlands, and many discussions with colleagues ha ve in:fluenced its devel­ opment. Oftheir names I mention here only that ofH. A. Kramers. Papers No. 1-13 ofthe list given at the end ofthe text were written during that period. Severa! ofthese were attempts to explore ideas which later had to be abandoned, but gradually a line of thought emerged which promised more definite results. This line began to come to the foreground in pa per No. 3 (1939}, while a preliminary formulation ofthe results was given in paper No. 12 (1954}. At that time, however, there still was missing a practica! method for manipulating a certain distribution function of central interest. A six months stay at the Hydrodynamics Laboratories ofthe California Institute of Technology, Pasadena, California (1950-1951}, was supported by a Contract with the Department of the Air F orce, N o. AF 33(038}-17207. A course of lectures was given during this period, which were published in typescript under the title 'On Turbulent Fluid Motion', as Report No. E-34. 1, July 1951, of the Hydrodynamics Laboratory.

Authors and Affiliations

  • Institute for Fluid Dynamics and Applied Mathematics, University of Maryland, College Park, USA

    J. M. Burgers

Bibliographic Information

  • Book Title: The Nonlinear Diffusion Equation

  • Book Subtitle: Asymptotic Solutions and Statistical Problems

  • Authors: J. M. Burgers

  • DOI: https://doi.org/10.1007/978-94-010-1745-9

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1974

  • Hardcover ISBN: 978-90-277-0494-8Published: 01 December 1974

  • Softcover ISBN: 978-94-010-1747-3Published: 20 April 2014

  • eBook ISBN: 978-94-010-1745-9Published: 11 December 2013

  • Edition Number: 1

  • Number of Pages: X, 174

  • Topics: Analysis

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