Abstract
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.
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Kevorkian, J., Cole, J.D. (1996). Limit Process Expansions for Partial Differential Equations. In: Multiple Scale and Singular Perturbation Methods. Applied Mathematical Sciences, vol 114. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3968-0_3
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DOI: https://doi.org/10.1007/978-1-4612-3968-0_3
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