TY - JOUR AU - Desjardins, BenoÎt AB - Global regularity results for weak solutions of the Navier-Stokes equations for two-dimensional multiphase incompressible fluids are proved under suitable conditions on the viscosity without assuming positive lower bounds on the initial density. As an application, we deduce regularity properties for the integral curves of the corresponding velocity field. Finally, we prove regularity results “in the small” for strong solutions. TI - Regularity Results for Two-Dimensional Flows of Multiphase Viscous Fluids JF - Archive for Rational Mechanics and Analysis DO - 10.1007/s002050050025 DA - 1997-06-20 UR - https://www.deepdyve.com/lp/springer-journals/regularity-results-for-two-dimensional-flows-of-multiphase-viscous-GgUFGzcXMr SP - 135 EP - 158 VL - 137 IS - 2 DP - DeepDyve ER -