| |
|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910146307603321 |
|
|
Autore |
Woyczyński W. A (Wojbor Andrzej), <1943-> |
|
|
Titolo |
Burgers-KPZ Turbulence : Göttingen Lectures / / by Wojbor A. Woyczynski |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1998 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Edizione |
[1st ed. 1998.] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (XII, 328 p.) |
|
|
|
|
|
|
Collana |
|
Lecture Notes in Mathematics, , 1617-9692 ; ; 1700 |
|
|
|
|
|
|
Classificazione |
|
|
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Differential equations |
Probabilities |
Differential Equations |
Probability Theory |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Bibliographic Level Mode of Issuance: Monograph |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references and index. |
|
|
|
|
|
|
Nota di contenuto |
|
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. |
|
|
|
|
|
|
|
|
Sommario/riassunto |
|
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. |
|
|
|
|
|
| |