Article ID Journal Published Year Pages File Type
4616314 Journal of Mathematical Analysis and Applications 2013 16 Pages PDF
Abstract

In this paper, we study a hydrodynamical system modeling the deformation of the vesicle membrane under external incompressible viscous flow fields. The system is in the Eulerian formulation and is governed by the coupling of the incompressible Navier–Stokes equations with a phase field equation. In the three dimensional case, we establish two logarithmically improved blow-up criteria for local smooth solutions of this system in terms of the vorticity field only in the homogeneous Besov spaces.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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