On the controllability of an advection-diffusion equation with respect to the diffusion parameter: Asymptotic analysis and numerical simulations
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![Figure 3: Approximation λ ε h (0, t) of the control w.r.t. t ∈ [0, T ] for ε = 10 −1 , 10 −2 and 10 −3 ; T = L = −M = 1;](https://thumb-eu.123doks.com/thumbv2/123doknet/14562210.538529/19.918.103.815.121.319/figure-approximation-λ-ε-control-t-ε-t.webp)
![Figure 4: Cost of control K h (ε, T, M) w.r.t. ε ∈ [10 −3 , 10 −1 ] for T = 0.95T ? , T = T ? and T = 1.05T ? ; L = M = 1; r = h 2 - h = 1/320.](https://thumb-eu.123doks.com/thumbv2/123doknet/14562210.538529/20.918.102.813.131.325/figure-cost-control-k-ε-t-m-ε.webp)
![Figure 7: Approximation λ ε h (0, t) of the corresponding control w.r.t. t ∈ [0, T ] for ε = 10 −3 and T = L = −M = 1; r = h 2 - h = 1/320.](https://thumb-eu.123doks.com/thumbv2/123doknet/14562210.538529/22.918.298.623.130.409/figure-approximation-λ-ε-corresponding-control-t-ε.webp)
![Figure 8: Cost of control K(ε, T, M ) w.r.t. ε ∈ [10 −3 , 10 −1 ] for T = L/M and L = −M = 1; r = h 2 - h = 1/320.](https://thumb-eu.123doks.com/thumbv2/123doknet/14562210.538529/23.918.297.613.130.406/figure-cost-control-k-ε-t-m-ε.webp)
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