Accession Number:

ADA034800

Title:

Singular Singular-Perturbation Problems.

Descriptive Note:

Technical rept.,

Corporate Author:

ARIZONA UNIV TUCSON DEPT OF MATHEMATICS

Personal Author(s):

Report Date:

1976-12-01

Pagination or Media Count:

16.0

Abstract:

Consider initial problems for nonlinear singularly perturbed systems of the form epsilon sub z dot fz,t,epsilon in the singular situation that f sub zz,t,0 has a nontrivial null space. Under appropriate hypotheses, such problems have asymptotic solutions as epsilon approaches 0 for t or 0 consisting of the sum of a function of t and a function of tau tepsilon. These problems arise in a number of situations in fluid dynamics and optimal control.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE