Parabolic and Gaussian White Noise Approximation for Wave Propagation in Random Media

Autor:	F. Bailly, J. P. Fouque, J. F. Clouet
Rok vydání:	1996
Předmět:	symbols.namesake Muffin-tin approximation Wave propagation Stochastic process Applied Mathematics Mathematical analysis symbols High frequency approximation White noise Heavy traffic approximation Mathematics Schrödinger equation Gaussian random field
Zdroj:	SIAM Journal on Applied Mathematics. 56:1445-1470
ISSN:	1095-712X 0036-1399
DOI:	10.1137/s0036139995280245
Popis:	The parabolic or forward scattering approximation has been used extensively in the study of wave propagation. This approximation is combined with a Gaussian white noise approximation for waves propagating in a random medium. The validity of this approximation is proved for stratified weakly fluctuating random media in the high-frequencies regime. The limiting distribution of the wave field is characterized as the unique solution of a random Schrodinger equation studied by Dawson and Papanicolaou [Appl. Math. Optim., 12 (1984), pp. 97–114].The proofs are based on various generalizations of the perturbed test function method developed by Kushner [Approximation and Weak Convergence Methods for Random Processes, MIT Press, 1984].
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3ec586ab950afc6619c767c5d9d7dbf4 https://doi.org/10.1137/s0036139995280245 Zobrazit plný text záznamu