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The Nonlinear Diffusion Equation - Asymptotic Solutions and Statistical Problems (Hardcover, 1974 ed.)
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The Nonlinear Diffusion Equation - Asymptotic Solutions and Statistical Problems (Hardcover, 1974 ed.)
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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."
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