Global Well-Posedness of the BCL System with Viscosity

The BCL system, a kind of equations governing the motion of the free surface of water waves in R3, is studied. Some results on the global existence, uniqueness and regularity of solutions to such system with small initial data are obtained.     

Hilbert空间中涉及一类新的具误差迭代程序的平衡问题的黏性逼近法

In this paper, we introduce an iterative scheme with error by the viscosity approximation method for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a nonexpansive mapping in a Hilbert space. A strong convergence theorem is given, which generalizes all the results obtained by S.Takahashi and W.Takahashi in 2007. In addition, some of the methods applied in this paper improve those of S.Takahashi and W.Takahashi.     

中红外光谱检测不同浓度乙醇柴油性能指标

利用中红外光谱和化学计量学实现了对乙醇柴油各项性能指标的定量分析。实验样品96个,为32种不同浓度的乙醇柴油溶液。采用S-G平滑、MSC、微分处理(1stD和2ndD)、SNV等四种方法对光谱数据进行预处理,并结合八种波段筛选方法(UVE,CARS,SPA,RPLS,UVE-SPA,UVE-CARS,SPA-CARS,UVE-SPA-CARS)对乙醇柴油MIR光谱数据进行处理,分别建立乙醇柴油密度、粘度、乙醇含量的PLSR模型,得出以下主要结论：综合比较八种变量筛选方法,发现UVE-SPA-CARS-PLS对乙醇含量的建模效果最好,模型预测集的R_p和RMSEP分别为0.978 1和0.825 5。变量筛选较原始光谱建立的模型来说,不仅模型输入数量减少,预测效果也有所提高。     

甜菜碱型两性离子聚合物P(AM-DMAPAAS)的盐溶液性质

将丙烯酰胺丙基二甲基胺（DMAPAA）和1,3-丙基磺内酯,在55 ℃下反应20 h,合成了3-（丙烯酰胺丙基二甲胺基）丙磺酸盐（DMAPAAS）,将其在盐溶液中与丙烯酰胺（AM）单体进行自由基共聚合反应,获得净电荷为零的磺基甜菜碱型两性离子共聚物P(AM-DMAPAAS);对该两性离子共聚物进行了表征和溶解性评价。 研究结果表明,共聚物在NaCl溶液中的粘度比在纯水中的大,在Mg2+和Ca2+盐溶液中的粘度更大,且随着溶液浓度的增大而增大,表现出明显的反聚电解质溶液性质。 升高相同温度,两性离子共聚物的粘度保留率是普通聚丙烯酰胺的1.4倍。     

Bulk viscosity of hot dense Quark matter in the PNJL model

Starting from the Kubo formula and the QCD low energy theorem, we study the the bulk viscosity of hot dense quark matter in the PNJL model from the equation of state. We show that the bulk viscosity has a sharp peak near the chiral phase transition, and that the ratio of bulk viscosity over entropy rises dramatically in the vicinity of the phase transition. These results agree with those from the lattice and other model calculations. In addition, we show that the increase of chemical potential raises the bulk viscosity.     

A remark on the Beale-Kato-Majda criterion for the 3D MHD equations with zero kinematic viscosity

In this paper,we study the blow-up criterion of smooth solutions to the 3D magneto-hydrodynamic system in ˙ B 0 ∞,∞.We show that a smooth solution of the 3D MHD equations with zero kinematic viscosity in the whole space R 3 breaks down if and only if certain norm of the vorticity blows up at the same time.     

粘度与温度相关时对铁磁流体作有热交换轴对称旋转流动的影响

就粘度与温度相关时,研究粘度对铁磁流体作轴对称旋转层流边界层流动的影响.铁磁流体是不可压缩非导电的,在一块固定平板上作轴对称的旋转流动,固定平板受到磁场的作用并保持恒定的温度.为了达到上述目的,首先利用众所周知的相似变换法,将耦合的非线性偏微分方程组转化为常微分方程组;然后,运用常用的有限差分法,将耦合的非线性微分方程离散化;采用MATLAB软件中的Newton法求解上述离散化方程;借助Flex PDE求解器得到最初的猜测值.在求得速度分布的同时,还就粘度与温度相关时求得了表面摩擦力、热交换率和边界层位移厚度.所得的结果用图表表示出来.     

Viscosity analysis on the Boltzmann equation

This paper is devoted to investigating the asymptotic properties of the renormalized solution to the viscosity equation tfε + v ·▽xfε = Q (fε,fε ) + εΔvfε as ε→ 0+ . We deduce that the renormalized solution of the viscosity equation approaches to the one of the Boltzmann equation in L1 ((0 , T ) × RN × RN ). The proof is based on compactness analysis and velocity averaging theory.     

Non-linear Viscoelastic Rheological Properties of PCC/PEG Suspensions

The shear thinning and shear thickening rheological properties of PCC/PEG suspension were investigated with the increase of oscillatory amplitude stress at different constant frequencies. The results show that the complex viscosity was initially independent of stress amplitude and obvious shear thinning occurred, then dramatic shear thickening took place after reaching the minimum viscosity. Typically, in a constant frequency of 5 rad/s, the elastic modulus, viscous modulus, and tanδ （δ is the out-of-phase angle） vs. the stress amplitude was investigated. It is found that the elastic modulus initially appeared to be independent of stress amplitude and then exhibited a rapid decrease, but the viscous modulus was independent of amplitude stress at lower amplitude stress. After reaching the minimum value the viscous modulus showed a rapid increase. On the other hand, tanδ increased from 0.6 to 92, which indicates that the transition from elastic to viscous had taken place and tanδ showed a steep increase when shear thickening occurred. Lissajous plots are shown for the dissipated energy vs. different maximum stress amplitude in the shear thinning and shear thickening regions. The relationship of dissipated energy vs. maximum stress amplitude was determined, which follows a power law. In the shear thinning region the exponent was 1.91, but it steeply increases to 3.97 in the shear thickening region.     

Lie group analysis for the effect of temperature-dependent fluid viscosity and thermophoresis particle deposition on free convective heat and mass transfer under variable stream conditions

This paper examines a steady two-dimensional flow of incompressible fluid over a vertical stretching sheet. The fluid viscosity is assumed to vary as a linear function of temperature. A scaling group of transformations is applied to the governing equa- tions. The system remains invariant due to some relations among the transformation parameters. After finding three absolute invariants, a third-order ordinary differential equation corresponding to the momentum equation and two second-order ordinary differential equations corresponding to energy and diffusion equations are derived. The equations along with the boundary conditions are solved numerically. It is found that the decrease in the temperature-dependent fluid viscosity makes the velocity decrease with the increasing distance of the stretching sheet. At a particular point of the sheet, the fluid velocity decreases but the temperature increases with the decreasing viscosity. The impact of the thermophoresis particle deposition plays an important role in the concentration boundary layer. The obtained results are presented graphically and discussed.