The Nonlinear Diffusion Equation: Asymptotic Solutions And Statistical Problems
by J.M. Burgers /
2013 / English / PDF
7.3 MB Download
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.
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.