In poor solvent, a flexible polymer chain (N monomers) collapses into a globule. When stretched at both ends, it switches from a globular to a stretched form by a first-order transition. When the coil is stretched under a uniform solvent flow at velocity V, we predict that the transition is second order (continuous). We expect three regimes. (i) V < V-1 : the globule elongates slightly into an ellipsoid and the resistance is provided by surface tension. (ii) V-1 < V < V-2 : we have coexistence between a reduced globule and an extended chain. (iii) Sr > V-2 : the globule has completely faded out. When stretched under a shear flow, we also expect three regimes, but the deformation is now more progressive. In the stem-globule regime, the stem can be either fully elongated or only partially stretched. Finally, we discuss transients, where (i) the chain fully elongated at time t = 0 relaxes to the equilibrium collapsed state and (ii) starting from a globule at rest, a uniform flow is suddenly imposed.