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Nonlinear Waves and Weak Turbulence - with Applications in Oceanography and Condensed Matter Physics (Hardcover, 1993 ed.)
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Nonlinear Waves and Weak Turbulence - with Applications in Oceanography and Condensed Matter Physics (Hardcover, 1993 ed.)
Series: Progress in Nonlinear Differential Equations and Their Applications, 11
Expected to ship within 10 - 15 working days
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This book is an outgrowth of the NSF-CBMS conference Nonlinear
Waves GBP3 Weak Turbulence held at Case Western Reserve University
in May 1992. The principal speaker at the conference was Professor
V. E. Zakharov who delivered a series of ten lectures outlining the
historical and ongoing developments in the field. Some twenty other
researchers also made presentations and it is their work which
makes up the bulk of this text. Professor Zakharov's opening
chapter serves as a general introduction to the other papers, which
for the most part are concerned with the application of the theory
in various fields. While the word "turbulence" is most often
associated with f:l. uid dynamics it is in fact a dominant feature
of most systems having a large or infinite number of degrees of
freedom. For our purposes we might define turbulence as the chaotic
behavior of systems having a large number of degrees of freedom and
which are far from thermodynamic equilibrium. Work in field can be
broadly divided into two areas: * The theory of the transition from
smooth laminar motions to the disordered motions characteristic of
turbulence. * Statistical studies of fully developed turbulent
systems. In hydrodynamics, work on the transition question dates
back to the end of the last century with pioneering contributions
by Osborne Reynolds and Lord Rayleigh.
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