Uniform controllability of a transport equation in zero di ffusion-dispersion limit
Glass, Olivier; Guerrero, Sergio (2009), Uniform controllability of a transport equation in zero di ffusion-dispersion limit, Mathematical Models and Methods in Applied Sciences, 19, 9, p. 1567-1601. http://dx.doi.org/10.1142/S0218202509003899
TypeArticle accepté pour publication ou publié
Journal nameMathematical Models and Methods in Applied Sciences
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Abstract (EN)In this paper, we consider the controllability of a transport equation perturbed by small diffusion and dispersion terms. We prove that for a sufficiently large time, the cost of the null-controllability tends to zero exponentially as the perturbation vanishes. For small times, on the contrary, we prove that this cost grows exponentially.
Subjects / KeywordsControllability; diffusion–dispersion limit
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Some exact controllability results for the linear KdV equation and uniform controllability in the zero-dispersion limit Glass, Olivier; Guerrero, Sergio (2008) Article accepté pour publication ou publié