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On the asymptotic solution of the lagerstrom model equation

By Simon Rosenblat and John Shepherd

Abstract

The Lagerstrom equation is a one-dimensional model of the equations of viscous flow at low Reynolds numbers. It is shown how a uniformly valid asymptotic solution to the Lagerstrom equation can be obtained by an iteration procedure applied directly to an equivalent integral equation, and without recourse to inner and outer expansions.\u

Publisher: Society for Industrial and Applied Mathematics
Year: 1975
OAI identifier: oai:authors.library.caltech.edu:33191
Provided by: Caltech Authors

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Citations

  1. (1955). Asymptotic developments, I. Fundamental theorems of asymptotics, doi
  2. (1965). Asymptotic methods for the study of the Navier-Stokes equations, doi
  3. (1965). Elements of Functional Analysis, doi
  4. (1971). On the Lagerstrom mathematical modeljbr viscous flow at low Reynolds number, doi
  5. (1968). Perturbation Methods in Applied Mathematics,
  6. (1973). Singular perturbations for a nonlinear differential equation with a small parameter, doi

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