کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
839770 | 1470488 | 2015 | 21 صفحه PDF | دانلود رایگان |
The coupled Navier–Stokes and Q-tensor system is considered in a bounded three-dimensional domain under homogeneous Dirichlet boundary conditions for the velocity u and either nonhomogeneous Dirichlet or homogeneous Neumann boundary conditions for the tensor QQ. The corresponding initial-value problem in the whole space R3R3 was analyzed in Paicu and Zarnescu (2012).In this paper, three main results concerning weak solutions will be proved: the existence of global in time weak solutions (bounded up to infinite time), a uniqueness criteria and a maximum principle for QQ. Moreover, we identify how to modify the system to deduce symmetry and traceless for QQ, for any weak solution. The presence of a stretching term in the QQ-system plays a crucial role in all the analysis.
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 112, January 2015, Pages 84–104