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Record Nr. |
UNISA996466619603316 |
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Autore |
Woyczyński W. A (Wojbor Andrzej), <1943-> |
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Titolo |
Burgers-KPZ turbulence : Göttingen lectures / / Wojbor A. Woyczyński |
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Pubbl/distr/stampa |
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Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1998] |
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©1998 |
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ISBN |
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Edizione |
[1st ed. 1998.] |
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Descrizione fisica |
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1 online resource (XII, 328 p.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 1700 |
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Classificazione |
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Disciplina |
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Soggetti |
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Turbulence - Mathematical models |
Burgers equation |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Shock waves and the large scale structure (LSS) of the universe -- Hydrodynamic limits, nonlinear diffusions, and propagation of chaos -- Hopf-Cole formula and its asymptotic analysis -- Statistical description, parabolic approximation -- Hyperbolic approximation and inviscid limit -- Forced Burgers turbulence -- Passive tracer transport in Burgers' and related flows -- Fractal Burgers-KPZ models. |
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Sommario/riassunto |
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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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