On the Uniqueness of Weak Solutions for the 3d Phase Field Navier–stokes Vesicle–fluid Interaction Model
نویسندگان
چکیده
In this paper, we study a hydrodynamical system modeling the deformation of vesicle membrane in incompressible viscous fluids. In three dimensional case, we establish some uniqueness criteria of weak solutions for this system which reveal that the regularity of velocity field alone controls the uniqueness of weak solutions. Mathematics subject classification (2010): 35A02, 35G31, 76D09, 76T10.
منابع مشابه
Analysis of a Phase Field Navier-stokes Vesicle-fluid Interaction Model
Abstract. This paper is concerned with the dynamics of vesicle membranes in incompressible viscous fluids. Some rigorous theory are presented for the phase field Navier-Stokes model proposed in [7], which is based on an energetic variation approach and incorporates the effect of bending elasticity energy for the vesicle membranes. The existence and uniqueness results of the global weak solution...
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تاریخ انتشار 2014