Regularity Results for Two-Dimensional Flows of Multiphase Viscous Fluids
Regularity Results for Two-Dimensional Flows of Multiphase Viscous Fluids
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DOI：
10.1007/s002050050025
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发表时间：
1997-06
影响因子：
2.5
通讯作者：
B. Desjardins
中科院分区：
文献类型：
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作者：
B. Desjardins
在适当的粘性条件下，证明了二维多相不可压缩流体Navier-Stokes方程弱解的整体正则性结果，而不需要假设初始密度的正下界.作为应用，我们推导出相应速度场的积分曲线的正则性。最后，我们证明了强解的正则性结果。
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.