二阶剪切稠化流体强解的存在唯一性
Existence and Uniqueness of Strong Solution for Shear Thickening Fluids of Second Grade
摘要：
本文研究不可压缩均匀广义二阶流体在周期边界条件下的非定常运动方程。我们建立了二维和三维情况下剪切增稠流动的时间上整体强解的存在性。我们还证明了这种解决方案的唯一性，没有任何小的条件，对初始数据或限制的材料模量。
英文摘要：
In this paper we study the equations governing the unsteady motion of an incompressible homogeneous generalized second grade fluid subject to periodic boundary conditions. We establish the existence of global-in-time strong solutions for shear thickening flows in the two and three dimensional case. We also prove uniqueness of such solution without any smallness condition on the initial data or restriction on the material moduli.
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