On the cost of null-control of an artificial advection-diffusion problem
ESAIM: Control, Optimisation and Calculus of Variations, Tome 19 (2013) no. 4, pp. 1209-1224.

In this paper we study the null-controllability of an artificial advection-diffusion system in dimension n. Using a spectral method, we prove that the control cost goes to zero exponentially when the viscosity vanishes and the control time is large enough. On the other hand, we prove that the control cost tends to infinity exponentially when the viscosity vanishes and the control time is small enough.

DOI : 10.1051/cocv/2013048
Classification : 35K57, 93B05
Mots-clés : vanishing viscosity, controllability, heat equation, Carleman 
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     title = {On the cost of null-control of an artificial advection-diffusion problem},
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Cornilleau, Pierre; Guerrero, Sergio. On the cost of null-control of an artificial advection-diffusion problem. ESAIM: Control, Optimisation and Calculus of Variations, Tome 19 (2013) no. 4, pp. 1209-1224. doi : 10.1051/cocv/2013048. http://www.numdam.org/articles/10.1051/cocv/2013048/

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