Regularity Results for Two-Dimensional Flows of Multiphase Viscous Fluids

被引：0
|
作者：
BenoÎt Desjardins
机构：
[1] CEREMADE Université Paris Dauphine Place de Lattre de Tassigny 75775 Paris cedex 16,
来源：
Archive for Rational Mechanics and Analysis | 1997年 / 137卷
关键词：
Viscosity; Lower Bound; Velocity Field; Weak Solution; Viscous Fluid;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：135 / 158
页数：23
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