Boundary-Layer Theory

  • Carl M. Bender
  • Steven A. Orszag


In this and the next chapter we discuss perturbative methods for solving a differential equation whose highest derivative is multiplied by the perturbing parameter ε. The most elementary of these methods is called boundary-layer theory.


Boundary Layer Uniform Approximation Outer Approximation Outer Solution Internal Boundary Layer 
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  1. 36.
    For a general discussion of boundary-layer methods see Refs. 3, 29, and : Cole, J. D., Perturbation Methods in Applied Mathematics, Ginn and Company, Boston, 1968.zbMATHGoogle Scholar
  2. 37.
    Kaplun, S., Fluid Mechanics and Singular Perturbations, P. A. Lagerstrom, L. N. Howard, and C. S. Liu (Eds.), Academic Press, Inc., New York, 1967.Google Scholar
  3. 38.
    O’Malley, R. E., Introduction to Singular Perturbations, Academic Press, Inc., New York, 1974.zbMATHGoogle Scholar
  4. 39.
    Van Dyke, M., Perturbation Methods in Fluid Mechanics, Academic Press, Inc., New York, 1964.zbMATHGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Carl M. Bender
    • 1
  • Steven A. Orszag
    • 2
  1. 1.Department of PhysicsWashington UniversitySt. LouisUSA
  2. 2.Department of MathematicsYale UniversityNew HavenUSA

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