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International audienceWe consider two parabolic equations coupled by a matrix A(x) = q(x)A0, where A0 is a Jordan block of order 1, and controlled by a single localized function, or by a single boundary control. The support of the coupling coefficient, q, and the control domain may be disjoint. We exhibit an explicit minimal time of null-controllability, T0(q) ∈ [0, +∞].On considère deux équations paraboliques couplées par une matrice A(x) = q(x)A0, où A0 est un bloc de Jordan d’ordre 1, et contrôlées par un seul contrôle localisé en espace ou frontière. Le support du coefficient de couplage, q, et du contrôle peuvent être disjoints. Nous mettons en évidence un temps minimal de contrôlabilité à 0, T0(q) ∈ [0, +∞]

Minimal time of controllability of two parabolic equations with disjoint control and coupling domains