03170nam 2200649 450 99646661960331620220424001626.03-540-49480-410.1007/BFb0093107(CKB)1000000000437312(SSID)ssj0000321710(PQKBManifestationID)12083780(PQKBTitleCode)TC0000321710(PQKBWorkID)10281024(PQKB)11096441(DE-He213)978-3-540-49480-5(MiAaPQ)EBC5585937(MiAaPQ)EBC6692212(Au-PeEL)EBL5585937(OCoLC)1066199802(Au-PeEL)EBL6692212(PPN)155187953(EXLCZ)99100000000043731220220424d1998 uy 0engurnn#008mamaatxtccrBurgers-KPZ turbulence Göttingen lectures /Wojbor A. Woyczyński1st ed. 1998.Berlin, Germany ;New York, New York :Springer-Verlag,[1998]©19981 online resource (XII, 328 p.)Lecture Notes in Mathematics,0075-8434 ;1700Bibliographic Level Mode of Issuance: Monograph3-540-65237-X Includes bibliographical references and index.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.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.Lecture Notes in Mathematics,0075-8434 ;1700TurbulenceMathematical modelsBurgers equationTurbulenceMathematical models.Burgers equation.51060H15msc76L05msc35Q53mscWoyczyński W. A(Wojbor Andrzej),1943-42853MiAaPQMiAaPQMiAaPQBOOK996466619603316Burgers-KPZ turbulence2834075UNISA