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We consider the dynamics of phase separation in lipid bilayer membranes, modeled as flat twodimensional liquid sheets within a bulk fluid, both in the creeping flow approximation. We present scaling arguments that suggest asymptotic coarsening in these systems is characterized by a length scale R(t) ∼ t 1/2 for critical (bicontinuous) phase separation and R(t) ∼t 1/3 for off-critical concentrations (droplet morphology). In this limit, the bulk fluid is the primary source of dissipation. We alsodoi:10.1063/1.3662131 pmid:22168731 fatcat:fxgxtkwdrzcxzokbqfkfnbcr5y