We investigate how multilamellar vesicles prepared in a compressed state un
der flow return to equilibrium. The kinetics is studied by following the te
mporal evolution of the viscoelasticity after the shear is stopped. It exhi
bits a two-step relaxation whose slower stage is strongly affected by tempe
rature. According to a simple model, the temperature-dependent permeability
of the lamellar phase is deduced from the measurements. We propose to attr
ibute the permeability to handle-like defects, and its temperature dependen
ce to all increase of the defect density when the lamellar-to-sponge phase
transition is approached.