Singular Perturbations of Semilinear Second Order Systems.

Abstract

Many physical problems occur as two-point boundary value problems for some systems. Although scalar problems have been quite thoroughly analyzed in the last twenty-five years, vector problems have rarely been examined. Results providing nonuniform convergence to the solution of appropriate reduced problems away from endpoint boundary layers are presented. Possibilities involving interior transition layers will also be considered.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1978
Accession Number
ADA055279

Entities

People

  • F. A. Howes
  • R. E. O'malley Jr.

Organizations

  • University of Arizona

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Applied Mathematics
  • Boundaries
  • Boundary Layer
  • Boundary Layer Control
  • Boundary Value Problems
  • Convergence
  • Differential Equations
  • Equations
  • Hypotheses
  • Integral Equations
  • Mathematics
  • New York
  • Nonlinear Differential Equations
  • Perturbation Theory
  • Perturbations
  • Power Series
  • Stability Conditions

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Mathematics or Statistics
  • Ocean-Atmosphere Mesoscale Modeling, Data Assimilation, and Flux Boundary Layers