Burgers-KPZ Turbulence: Göttingen Lectures (Lecture Notes in Mathematics, 1700) 1998th Edition by Wojbor A. Woyczynski | (PDF) Free Download

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    Ebook Info

    • Published: 1998
    • Number of pages: 318 pages
    • Format: PDF
    • File Size: 10.52 MB
    • Authors: Wojbor A. Woyczynski

    Description

    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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