Limit Process Expansions for Partial Differential Equations

  • J. Kevorkian
  • J. D. Cole
Part of the Applied Mathematical Sciences book series (AMS, volume 114)


In this chapter, the methods developed in Chapter 2 are applied to partial differential equations. The plan is the same as for the cases of ordinary differential equations discussed earlier. First, we discuss the very simplest case in which a singular perturbation problem arises; that of a second-order equation that becomes a first-order one in the limit ∈ → 0. Following this, various more complicated physical examples of boundary-layer theory in fluid mechanics are discussed. The final section deals with a variety of physical examples for singular boundary-value problems.


Boundary Layer Partial Differential Equation Asymptotic Expansion Shock Layer Inviscid Flow 
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Copyright information

© Springer-Verlag New York, Inc. 1996

Authors and Affiliations

  • J. Kevorkian
    • 1
  • J. D. Cole
    • 2
  1. 1.Department of Applied MathematicsUniversity of WashingtonSeattleUSA
  2. 2.Department of Mathematical SciencesRensselaer Polytechnic InstituteTroyUSA

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