Layer-type Problems. Partial Differential Equations

  • P. A. Lagerstrom
Part of the Applied Mathematical Sciences book series (AMS, volume 76)


We have seen in Chapter II that even restricting ourselves to a few relatively simple-looking ordinary differential equations we get a great variety of types of expansions when applying singular perturbation techniques. Also, as seen in Chapter II, Section 4, replacing the middle term in eu″ + u x — u = 0 by the quasi-linear term uu x greatly increases the variety of solutions for two-point boundary value problems. Obviously, we expect the variety of solutions and the techniques necessary to be very large when we consider partial differential equations.


Reynolds Number Partial Differential Equation Stokes Equation Outer Solution Free Layer 
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Copyright information

© Springer Science+Business Media New York 1988

Authors and Affiliations

  • P. A. Lagerstrom
    • 1
  1. 1.California Institute of Technology Applied Mathematics 217-50Firestone LaboratoryPasadenaUSA

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