Logarithmically Improved Blow-up Criteria for a Phase Field Navier-Stokes Vesicle-Fluid Interaction Model
Analysis of PDEs
2013-01-30 v1
Abstract
In this paper, we study a hydrodynamical system modeling the deformation of 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.
Keywords
Cite
@article{arxiv.1301.6893,
title = {Logarithmically Improved Blow-up Criteria for a Phase Field Navier-Stokes Vesicle-Fluid Interaction Model},
author = {Jihong Zhao and Qiao Liu},
journal= {arXiv preprint arXiv:1301.6893},
year = {2013}
}
Comments
22 pages