Singular Singular-Perturbation Problems.

Abstract

Consider initial problems for nonlinear singularly perturbed systems of the form epsilon sub z dot = f(z,t,epsilon) in the singular situation that f sub z(z,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 = t/epsilon. These problems arise in a number of situations in fluid dynamics and optimal control.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1976
Accession Number
ADA034800

Entities

People

  • J. E. Flaherty
  • R. E. O'malley Jr.

Organizations

  • University of Arizona

Tags

DTIC Thesaurus Topics

  • Asymptotic Series
  • Banach Space
  • Boundaries
  • Boundary Layer
  • Boundary Value Problems
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Eigenvalues
  • Equations
  • Fluid Dynamics
  • Formulas (Mathematics)
  • Integral Equations
  • Layers
  • Linear Differential Equations
  • New York
  • Partial Differential Equations

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Calculus or Mathematical Analysis
  • Fluid Dynamics.

Technology Areas

  • Space