Geodesic
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 Cet article a éte moissonné depuis la source Numdam

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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
Keywords: vanishing viscosity, controllability, heat equation, Carleman 
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     author = {Cornilleau, Pierre and Guerrero, Sergio},
     title = {On the cost of null-control of an artificial advection-diffusion problem},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {1209--1224},
     year = {2013},
     publisher = {EDP-Sciences},
     volume = {19},
     number = {4},
     doi = {10.1051/cocv/2013048},
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     zbl = {1293.35021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv/2013048/}
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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

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