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Burgers-KPZ Turbulence - Goettingen Lectures (Paperback, 1998 ed.)
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Burgers-KPZ Turbulence - Goettingen Lectures (Paperback, 1998 ed.)
Series: Lecture Notes in Mathematics, 1700
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These lecture notes are woven around the subject of Burgers'
turbulence/KPZ model of interface growth, a study of the nonlinear
parabolic equation with random initial data. The analysis is
conducted mostly in the space-time domain, with less attention paid
to the frequency-domain picture. However, the bibliography contains
a more complete information about other directions in the field
which over the last decade enjoyed a vigorous expansion. The notes
are addressed to a diverse audience, including mathematicians,
statisticians, physicists, fluid dynamicists and engineers, and
contain both rigorous and heuristic arguments. Because of the
multidisciplinary audience, the notes also include a concise
exposition of some classical topics in probability theory, such as
Brownian motion, Wiener polynomial chaos, etc.
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