On Pointwise Decay of Linearized Stationary Incompressible Viscous Flow around Rotating and Translating Bodies
On Pointwise Decay of Linearized Stationary Incompressible Viscous Flow around Rotating and Translating Bodies
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旋转和平移体周围线性化静止不可压缩粘性流的逐点衰减
DOI：
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发表时间：
2011
影响因子：
2
通讯作者：
Š. Nečasová
中科院分区：
文献类型：
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作者：
P. Deuring;S. Kracmar;Š. Nečasová
我们考虑一个系统所产生的线性化模型的静态粘性不可压缩流过去的旋转和平移刚体。使用Guenther和J. Math. Fluid Mech.提出的基本解，8（2006），pp. 77-98]，我们导出了速度场的表示公式。这个公式然后被用来获得逐点衰减估计，并确定一个领先的长期相对于此衰减。此外，我们还证明了具有Oseen和转动项的定常Navier-Stokes方程组弱解的一个表示定理。
We consider a system arising by linearization of a model for stationary viscous incompressible flow past a rotating and translating rigid body. Using a fundamental solution proposed by Guenther and Thomann [J. Math. Fluid Mech., 8 (2006), pp. 77–98], we derive a representation formula for the velocity field. This formula is then used to obtain pointwise decay estimates and to identify a leading term with respect to this decay. In addition, we prove a representation theorem for weak solutions of the stationary Navier–Stokes system with Oseen and rotational terms.