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There are series of papers studying the solvability of an incompressible, viscous, instationary fluid contained in a domian bounded entirely by a free surface. In 1977, Solonnikov proved its local solvability in a Holder space for any initial date but without surface tension. In 1984, he considered the same problem in a Sobolev space with surface tension being taken into account. In I992, Mogilevskii and Solonnikov treated the same problem in a Holder space, where the coefficient of surface tension is not a constant. There are also short-time existence results for the solvability of an incompressible, vicous, unsteady fluid bounded above by a free surface and below by a fixed bottom which approach horizontal planes at infinity. In 1981, Beale proved its local solvability in a Sobolev space for any initial date but without surface tension. In 1983, Allain were concerned with the same problem in R〓 with surface tension but under the assumption that the initial fluid domain was near a horizontal strip. In 1987, he obtained the same result without the preceding assumption. In 1996, Tani solved the same problem in R with surface tension. For the solvability of an incompressible viscous instationary fluid in Ω R bounded inside by a free surface S and outside by a rotating boundary S, in 1995 Ciuperca proved its local existence in a Sobolev space for any initial date but without surface tension. In this paper, we consider the same problem with surface tension.

对于边界完全是由自由边界组成的有界区域中粘性不可压流体的非定常运动问题,Solonnikcv于1977年在忽略表面张力情况下证明了初值问题小时间解在Holder空间的存在性,于1984年在有表面张力情况下证明了初值问题问题小时间解在Sobolev空间的存在性,Mogilevskii和Solonnikov于1992年在表面张力系数可以不是常数情况下证明了初值问题小时间解在Holder空间的存在性;对于上面是自由边界、下面是固定边界且两边界在无限处趋于水平的无限区域中粘性不可压流体的非定常运动问题,Beale于1981年在忽略表面张力情况下证明了初值问题小时间解在Sobolev空间的存在性,Allain于1983年在有表面张力情况下证明了R中初值问题小时间解在Sobolev空间的存在性,但其中假定初始区域近似是个水平条,他于1987年去掉了这个假定得到同样的结果,Tani于1996年在有表面张力情况下证明了R中初值问题小时间解在Sobolev空间的存在性;对于R中内面是自由边界、外面是旋转边界S的有界区域中粘性不可压流体的非定常运动问题,Ciuperca于1995年在忽略表面张力情况下证明了初值问题小时间解在Sobolev空间的存在性,本文考虑了在有表面张力情况下初值问题可解性问题。

Finally it analyzes the feasibility that using hydromechanics to analyze traffic flow by contrasting various characters between traffic flow and fluid flow. It analyzes influence of road alignment to basic expressway segment capacity by hydromechanics, and obtains viscous resistance and viscous movement differential equation when the vehicle drives on circular curve segment of expressway. And it infers that viscous resistance is correlated with sideway force coefficient, slope of crown and radius of circular curve. Radius of circular curve, sideway force coefficient and slope of crown are bigger, viscous resistance is smaller, the influence to capacity is smaller when the vehicle is running on nearside lane of circular curve; but radius of circular curve and sideway force coefficient are bigger, slope of crown is smaller, viscous resistance is smaller, the influence to capacity is smaller when the vehicle is running on fast lane of circular curve.

最后通过对比交通流与流体流的相似性,运用流体力学分析了道路线形对快速路基本路段通行能力的影响,求出了车辆在曲线路段的粘性阻力,建立了车辆在曲线路段的粘性运动微分方程,并由此推知,粘性阻力与横向力系数、路拱横坡度和圆曲线半径都有关系,当车辆在圆曲线外侧车道上行驶时,圆曲线半径、横向力系数和路拱横坡度越大,粘性阻力就越小,对道路的通行能力影响就越小;而当车辆在圆曲线内侧车道上行驶时,圆曲线半径和横向力系数越大,路拱横坡度越小,粘性阻力就越小,对道路的通行能力影响就越小。

Let C be a nonempty closed convex subset of a Hilbert space H, P:H→C be a nearest point projection, and T:C→H be a nonexpansive mapping satisfying the weakly inwardness condition, and :C→C be a fixed contractive mapping. Let the implicit iterative sequences {x},{y} and the explicit iterative sequences {x},{y}.

设C为实Hilbert空间H的非空闭凸子集,P:H→C为最近点投影映射,T:C→H为非扩张映象,且T满足弱内向条件,:C→C为压缩映象。t∈(0,l),定义了2种隐式粘性迭代序列{x},{y}和2种显式粘性迭代序列{x},{y},证明了T有不动点当且仅当序列{x},{y},{x},{y}有界。

In order to solve the problems of aging of dope and Weather fastness energy balance,we have researched and developed the impregnant dope of tetracopoly merization,which constitute mainly.

引言含氟聚合物的碳氟键离解能比碳氢键离解要大得多,而碳氟键的键长又比碳氢键短,所以氟树脂有良好的机械性能、优异的耐化学品性、优良的热稳定性、耐侯性以及高度不粘性和低的磨擦系数。

Old English, denoting a bandage spread with a curative substance, from medieval Latin plastrum (shortening of Latin emplastrum, from Greek emplastron 'daub, salve'), later reinforced by the Old French noun plastre.

①石膏:与水混合后变硬的石膏材料,用于固定或制作身体某部的印模,如牙科石膏或煅石膏;②硬膏〔剂〕:可涂敷于皮肤的糊状混合物,在体温的热度下有粘性。

Considering of the complex geometry with appendages, the viscous flow around submergible bodies has a very important position in ship flow field research.

不含自由液面水下潜体的粘性流动,考虑其带附体的复杂几何特性,在船舶流场研究中有着重要的学术地位,另一方面,由于潜体所涉及的研究对象,如潜艇、鱼雷等均有强烈的军事背景,受到了国际船舶界的特别重视。

Having the texture or properties of gum; sticky and viscid .

粘性的有树胶的质地或特性的;胶粘的

Pollen grains are adapted according to the method of pollination, those carried by insects often being sticky or barbed, while wind-pollinated plants generally produce smooth light pollen.

花粉粒与授粉方式相适应,那些虫媒花,花粉通常是粘性的或有刺的,而具有风媒花的植物,其花粉通常光滑而轻。

Honey's attraction to water is also why candy made from honey tends to get stickier than candy made from sucrose, or table sugar.

蜂蜜吸附水分的能力同样适用于:为什么用蜂蜜制成的糖果比蔗糖制成的糖果更有粘性。

Because of the viscosity of fluid and non-existence of velocity potential, the symmetry of mass matrix, stiffness matrix and the coefficient matrix of the first order of system no longer exists, so the modal analysis of system becomes very complicated.

由于流体粘性的影响,流场有旋,没有速度势,所以系统质量阵、刚度阵以及一阶项的系数矩阵的对称性被破坏,从而使得系统的模态分析变得很复杂。

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He is the most remarkable man that I have ever known.

他是我知道的人中最值得注意的人。

Increased appearance of lymphocele was noticed in patients with diabetic nephropathy, congenital malformations of the urinary tract, and inflammatory diseases, including glomerulopathy and extraglomerular ones, after high-voltage radiotherapy and after removal of the renal graft.

经过高压放射疗法和切除移植肾后,在糖尿病肾病患者、泌尿系统先天性畸形患者和炎症患者身上发现淋巴囊肿有所增加,包括肾小球病和球外疾病等。

Pagans and partygoers greeted the summer solstice at the ancient stone circle of Stonehenge.

异教徒和社交聚会常客在史前巨石柱的古老的石圈附近庆祝夏至。