= Asymptotic matching condition
= Matching condition
{synonym}
An asymptotic matching condition requires the <inner expansion> and <outer expansion>, re-expressed in a common overlap region, to agree to the retained order. Both function values and slopes may constrain the free constants. In the <square-root reaction problem with nested boundary layers>, the shared small plateau sets the <first integral of a square-root reaction layer>, while its large-field fourth-power tail fixes the neighboring broad layer.
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