Accession Number : AD0738466

Title :   Asymptotic Analysis of Nonlinear Diffusion and Related Multidimensional Integrals,

Corporate Author : CALIFORNIA UNIV LOS ANGELES DEPT OF MATHEMATICS

Personal Author(s) : Lange,Charles G.

Report Date : FEB 1972

Pagination or Media Count : 62

Abstract : In many important physical systems involving both diffusion and nonlinearity it often occurs that initially diffusion is the dominant mechanism. The question then arises as to whether or not linearization provides a uniformly valid first approximation for large times. The author attempts to partially answer this question by examining a number of simple model equations, both deterministic and stochastic. Several of the models are physically important and have been treated incorrectly in recent works. A major part of the analysis involves constructing asymptotic expansions for an interesting class of multidimensional integrals. (Author)

Descriptors :   (*INTEGRAL EQUATIONS, ASYMPTOTIC SERIES), STOCHASTIC PROCESSES, PERTURBATION THEORY, CAUCHY PROBLEM, NONLINEAR SYSTEMS, TURBULENCE, DIFFUSION

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE