Accession Number:

AD0738466

Title:

Asymptotic Analysis of Nonlinear Diffusion and Related Multidimensional Integrals,

Descriptive Note:

Corporate Author:

CALIFORNIA UNIV LOS ANGELES DEPT OF MATHEMATICS

Personal Author(s):

Report Date:

1972-02-01

Pagination or Media Count:

62.0

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

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE