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Null controllability of degenerate heat equations. (English) Zbl 1145.35408

The authors study the controllability of the degenerate parabolic equation \[ u_{t} - (x^{\alpha}u_{x}) = f\chi_{\omega},\quad x\in (0,1),\;t \in (0,T), \] where the control \(f\) acts on an open subdomain \(\omega\) of \((0,1)\). The results established are used to obtain null controllability of a Crocco-type equation that describes the velocity a laminar flow on a flat plate.

MSC:

35K65 Degenerate parabolic equations
93B05 Controllability
93B07 Observability
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