Abstract
We prove null controllability results for the degenerate one-dimensional heat equation $$ u_t - (x^\alpha u_x)_x = f \chi _\omega , \quad x\in (0,1), \ \ t\in (0,T) .$$ As a consequence, we obtain null controllability results for a Crocco-type equation that describes the velocity field of a laminar flow on a flat plate.
Citation
P. Cannarsa. P. Martinez. J. Vancostenoble. "Null controllability of degenerate heat equations." Adv. Differential Equations 10 (2) 153 - 190, 2005. https://doi.org/10.57262/ade/1355867887
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