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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。

The instructive conclusion was: 1 under the vertical loading, the shear-lag effect was produced badly, more severer under concentrated loading than under uniform loading .2 the longitudinal bending deformation of the beam flange was true of the imitating plane assumption of deformation . 3 the width length ratio was confirmed as the first factor working on the shear-lag effect among all the geometric parameters;4 the shear-lag coefficient of simple-supported box-girder was severer than the continuous box-girder, the shear-lag effect in the inner supported section of continuous beam was much more severer, we need paying more attention for it in designing. 5 the non-liner characteristics of material deformation have littlie influence on shear-lag effect in BGCW. 6 the experiential calculating formulation and calculating diagram for the effective flange width was raised with the only factor of the width-span ratio., but the primary location of axis of bending moments should not be changed while calculating the inertial moment .

研究认为:1室内模型试验和空间有限元分析结果均表明波形钢腹板组合箱梁在竖向荷载作用下,翼板出现了典型的纵向应力剪滞效应。2在竖向荷载作用下,截面高度上各点纵向正应变分布认为可符合"拟平截面假定",以此作为波形钢腹板组合箱梁抗弯计算的基本假定。3箱梁宽跨比是影响波形钢腹板组合箱梁翼板剪滞效应的主要因素。4连续波形钢腹板组合箱梁的翼板剪滞系数大于简支梁,且连续箱梁内支点截面翼板剪滞效应相当严重,对此需十分重视。5当混凝土翼板受力由弹性阶段进入弹塑性阶段时,材料的非线性特性对翼板的剪滞效应影响甚微。6提出了根据组合箱梁的宽跨比参数来计算翼板有效宽度比的经验公式和计算图表,但箱梁截面抗弯惯性矩的计算不应改变原先的截面中和轴位置。

"But in our game," he continues,"if you have a save point where all your health is restored and then have five encounters before the next save point, and in the first two you screw up and your permanent damage is really high, you really have to batten down the hatches to get through the other three or you're not going to make it to the next save point. We wanted to add that level of unpredictability."

板垣说,"所以在我的游戏里,假定你在一个存盘处回复满了HP,然后到下一个存盘处要经过五场打斗,而你在前两场受了很重的伤,这样你的HP可恢复的最大值就会大大降低,你将不得不以很低的HP上限来打后三场战斗,这样的设定,使得游戏的进程充满了不确定感。"

If so, is future medicine that extends lifespans a great deal more not also acceptable given that it will certainly also alleviate the suffering that is an intrinsic corollary of frailty and age-related debilitation?

如果是的话,能大幅度扩展寿命的未来的医学不也是可接受的吗?(假定它也肯定会减轻痛苦,这种痛苦是虚弱和与年龄相关的衰弱的一种固有的必然结果。

"The distinctive element, however, ie the prominence assigned to Timothy and Titus, is intelligible only on the supposition that the author had specially in view the ulterior end of vindicating the legitimate evangelic succession of contemporary episcopi and other office-bearers in provinces where this was liable for various reasons to be challenged"(in the beginning of the second century).

"的独特元素,然而,即突出分配给提摩太和提多是可理解仅是假定的作者曾专门查看别有用心维护结束的合法继承当代福音episcopi和其他办公室承担的省份,这是承担各种原因受到质疑,"。

The printable report will show you a detailed scenario and paymentplan that will ultimately pay-off all your credit cards.

可打印的报表将向你显示一个详细的假定的将最终支付所有你的信用卡的支付计划。

"I did not know before," continued Bingley immediately, that you were a studier of character.

不过,班纳特小姐,即使把你所说的这种种情形假定为真有其事,你可别忘了这一点:那个朋友固然叫他回到屋子里去叫他不要那么说做就做,可是那也不过是那位朋友有那么一种希望,对他提出那么一个要求,可并没有坚持要他非那样做不可。""

The operation of alleged selection pressures is here neither an object of study nor even a falsifiable proposition but rather an article of faith.

这样假定的选择性压力的运作就既不是一个研究对象,甚至也不是一个可证伪的命题,只不过是一个关於忠诚的条款罢了。

Our study also contributes to the research on cultural values: To our knowledge, it is the first study that translated the notion of value trumping, according to which certain values can take precedence over others depending on the situation, into testable interaction hypotheses.

我们的研究也成为在文化的价值方面的研究因素:到我们的知识,它是第一项翻译了打出王牌的价值观念的研究,依照哪一特定的价值能在其它之上领先仰赖情形,进入可测试的交互作用假定之内。

Identification of the surface starting from the photon far-field, and assuming that the relevant physical quantities of the medium are known.

假定介质的各种相关物理量都是已知的,光子密度是可观测的,识别介质的表面。

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