SATS :: Volume #4

#375: The periodic result of NS equation ( 3 / 3 )


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Since came to Princeton after later, Lu Zhou suddenly discovered, exploded the liver as if to become a sloppy ordinary matter to oneself. 自从来了普林斯顿之后之后,陆舟忽然发现,爆肝对自己来说似乎成了一件稀松平常的事情。 Although Deligne always criticizes his life work and rest to take the health to crack a joke, but even if in fact Lu Zhou has not deliberately done that to solving the issue hope will still urge him to do that. 虽然德利涅总是批评他这种生活作息是在拿健康开玩笑,但事实上即便陆舟并没有刻意地这么做过,对解决问题地渴望也会促使着他这么去做。 This feeling often made him recall once high school life. 这种感觉每每让他回忆起曾经的高中生活。 Bumps into the mathematics problems of together not being able to untie, putting in always felt like that is a lump, if cannot untie, including going to the cafeteria eats meal does not have that power. 碰到一道解不开的数学题,搁在心里头总觉得是个疙瘩,若是解不开的话,连去食堂吃饭都没那个动力。 Essentially, does this type to the unknown exploration desire, seem like same? 从本质上来讲,这种对未知的探索欲,似乎是一样的? When the tail of October/ten months will soon sneak off, this paper finally completes. 在十月的尾巴即将溜走之际,这篇论文终于是完成了。 Looks at that pack of writing all over paper on table, the Lu Zhou corners of the mouth brought back an enjoyable smiling face. 看着桌上的那叠写满的纸张,陆舟嘴角勾起了一丝舒心的笑容。 The return to the research of pure mathematics issue, this feeling very makes him fondly remember. 久违的回归到纯粹数学问题的研究中,这种感觉还是挺让他怀念的。 Turns on the computer, Lu Zhou starts to edit the documents, since oneself these days work, will input to the computer on. 打开电脑,陆舟开始编辑文档,将自己这段时间以来的工作,输入到电脑上。 «About Specific Starting value Under, Three dimensional Incompressible viscous flow navier-stokes Equation Smoothing solution Global existence Research» 《关于特定初始值下,三维不可压缩navier-stokes方程光滑解的整体存在性研究》 After knocking one line of titles, Lu Zhou started to edit the abstract of full text, the work since these days, made a description of summary nature. 敲下了一行标题之后,陆舟开始编辑全文的摘要,对这段时间以来的工作,做了一个综述性质的描述。 Put simply, he through establishing the starting value of satisfying special condition A, proved using the pde method in „a situation , the global existence of three dimensional incompressible viscous flow navier-stokes equation smoothing solution, as well as under some special conditions satisfies smooth. 简单来讲,他通过设置了一个满足特定条件a的初始值,运用pde方法证明了在“a情形下”下,三维不可压缩navier-stokes方程光滑解的整体存在性,以及部分特定条件下满足光滑性。 But before then, the global existence research about three dimensional incompressible viscous flow navier-stokes equation smoothing solution, only advanced in assignment some norm of starting value appropriate small or under the fluid motion region appropriate small assumption, ns equation existence of whole smoothing solution this step. 而在此之前,关于三维不可压缩navier-stokes方程光滑解的整体存在性研究,只推进到了“在给定的初始值的某种范数适当小或流体运动区域适当小的假设条件下,ns方程的整体光滑解的存在”这一步。 As for when the starting value is infinite smooth when has the tight collection, why the global existence of ns equation smoothing solution, until now as before is a riddle. 至于当初始值是无穷光滑且有紧支集时,ns方程光滑解的整体存在性为何,至今依旧是个谜。 With the simple language, the work that Lu Zhou does, is based on this, toward solution seven big millennium difficult problems Mount Everest, proceeded to make great strides forward one step. 用通俗的语言来讲,陆舟所做的工作,便是在此基础上,朝着解决“七大千禧难题”的珠峰,又往前迈进了一步。 Mentioning is also very interesting, from the beginning Lu Zhou does not rush is solving this millennium difficult problem to go, is only according to Venerable Qiu's suggestion, sets a gradual goal, while turning toward this goal goes forward, the polish solves the problem the theory tool. 说来也挺有意思的,一开始陆舟并不是奔着解决这个千禧难题去的,只是根据邱老先生的建议,设定一个阶段性的目标,在向着这个目标前进的同时,打磨解决问题的理论工具。 Now the theory tool to was creates, finally not only created the theory tool, the chance accomplished what art had failed in also to the issue of ns equation, yielded a gradual result. 现在理论工具到是创造出来了,结果不仅仅是创造了理论工具,无心插柳柳成荫地还对ns方程的问题,取得了一个阶段性的成果。 Because relates to millennium difficult problem big proposition, the component of this research results is big. 而且因为关系到千禧难题这个大命题,这个研究成果的份量还不小。 However at this time, Lu Zhou actually somewhat worries. 不过这时候,陆舟却是有些犯了难。 This gadget, actually sends in physical Journal good, sends in mathematical Journal good? 这玩意儿,究竟是发在物理期刊上好,还是发在数学期刊上好呢? This is an issue that warrants consideration. 这是一个值得思考的问题。 Can't the pure theoretical side research, send in " Science ", Nature on? 纯粹理论方面的研究,总不能还还是发在《科学》、《自然》上吧? ...... …… Next day, at the back of the notebook, Lu Zhou went to one office situated in higher research institute. 次日,背着笔记本电脑,陆舟去了一趟位于高等研究院的办公室。 Placed on the table to open the notebook, Lu Zhou looked that to sat Wei Wen one side of office. 将笔记本电脑放在了桌上打开,陆舟看向了坐在办公室一侧的魏文 Wei Wen.” 魏文。” What matter?” Pushed the eyeglasses, is brushing the literature to cram ferociously the partial differential equation knowledge Wei Wen to raise the head, throws the line of sight of inquiring to Lu Zhou. “什么事?”推了推眼镜,正在刷着文献恶补偏微分方程知识的魏文抬起头来,向陆舟投去询问的视线。 Lu Zhou beckons: You come to see this paper.” 陆舟招了招手:“你来看看这篇论文。” Thought of the question of full belly, Wei Wen stopped the pen in hand, set out to arrive by Lu Zhou, looked to the paper in screen. 装着满肚子的疑问,魏文停下了手中的笔,起身走到了陆舟旁边,看向了屏幕中的论文。 Finally this looked, then did not have the response for a long time. 结果这一看,便是好久都没了反应。 Wei Wen: „......” 魏文:“……” Sees him quite a while not to respond, Lu Zhou urged: Looked at sketchily enough, to the appraisal?” 见他半天没反应,陆舟催促道:“粗略看一下就够了,给个评价?” I......” Wei Wen open mouth, heavy lowering the head, I cannot understand.” “我……”魏文张了张嘴,沉重的低下了头,“我看不懂。” Lu Zhou gawked slightly, coughed lightly the sound: All right, you to the opinion, you thought that simply sends on mathematical Journal is quite appropriate, sends on physical Journal is quite appropriate.” 陆舟微微愣了下,轻咳了声:“没事,你就简单地给个意见,你觉得发数学期刊上比较合适,还是发在物理期刊上比较合适。” Wei Wen silent a while, gave an answer reluctantly. 魏文沉默了一会儿,勉强给出了一个答案。 „...... That on math.” “……那就数学吧。” Lu Zhou: Reason?” 陆舟:“理由?” Wei Wen says immediately: „The length of computation are more than length of elaboration.” 魏文立刻说道:“计算的篇幅比论述的篇幅多。” Lu Zhou: „......” 陆舟:“……” This reason also is really enough straightforward. 这理由还真是够直白的。 However...... 不过…… Probably a little truth? 好像有点道理? On edit difficulty, mathematical Journal compared to physical Journal. 就审稿难度而言,数学期刊相对于物理期刊来说。 Lu Zhou thinks, finally also thought sends is quite appropriate on mathematical Journal. 陆舟想了想,最终也觉得发在数学期刊上比较合适。 As for choosing which Journal...... 至于选择哪家期刊…… Does not flow the bystander field in line with Fei Shui the principle, as Lu Zhou of Professor general big, naturally sends in the big school magazine. 本着肥水不流外人田的原则,身为普大教授的陆舟,自然是发在普大校刊上啦。 Mentioned after becoming here professor, he already very for sometime not on submitted a piece of writing in «Math Yearly journal». 说起来自从当上了这里的教授之后,他已经很有段时间没在《数学年刊》上投稿了。 Pasted in the paper the mail, Lu Zhou then through internal contribution channel, sent to the mailbox of «Math Yearly journal» editorial department the manuscript. 将论文贴到了邮件中,陆舟便通过内部投稿渠道,将稿件发到了《数学年刊》编辑部的邮箱。 The after matter of contribution handles, he then closed the notebook, went to Princeton plasma physics Laboratory ( pppl ). 投稿的事情搞定之后,他便关上了笔记本电脑,前往了普林斯顿等离子体物理实验室(pppl)。 The preparatory work theoretically has almost been completed, Lu Zhou needs to handle now, is the issue that experiments. 理论上的准备工作差不多已经完成,陆舟现在需要去搞定的,便是实验上的问题。 ...... …… Is situated in the corner of Princeton small town, the architecure of modern brief style this lawn surrounds, inherited the Oxford customs handed down from the past campus compared with side, seems of undistinguished appearance. 坐落在普林斯顿小镇的一角,这座草坪环绕的现代简约风格的建筑,比起旁边继承了牛津遗风的校园来说,显得其貌不扬。 However in the controllable nuclear fusion domain, actually no one can neglect its influence. 不过在可控核聚变领域,却没人能忽视它的影响力。 If Lyman Spitzer this were provides one to realize the theory blueprint of controllable nuclear fusion for people, then turned into the engineering drawing this theory blueprint, was the research team of this laboratory. 如果说莱曼・斯皮策这是为人们提供了一个可以实现可控核聚变的理论蓝图,那么将这个理论蓝图变成工程图纸的,便是这座实验室的研究团队。 From the century, the iter international cooperative organization was founded, establishes various countries' scientific research institution in view of the research frame of controllable nuclear fusion technology, pppl then started the close cooperation with German MPI Society in the research of Stellarator. 从世纪之初开始,iter国际合作组织成立,确立了各国科研机构针对可控核聚变技术的研究框架,pppl便与德国马普学会在仿星器的研究上展开了密切合作。 The world's largest Stellarator controllable nuclear fusion device spiral stone 7-x, is the technical service that is provided by pppl, at the same time pppl also and world several main controllable fusion research units are maintaining the close cooperation. 全球最大仿星器可控核聚变装置“螺旋石7-x”,便是由pppl提供的技术服务,与此同时pppl也和世界几个主要的可控核聚变研究单位都保持着密切合作关系。 Said many people possibly not to believe that besides the controllable nuclear fusion foundation, here scholar as if not satisfy the restraint of deuterium and tritium plasma, even research about xenon plasmatron. 说出来很多人可能不信,除了可控核聚变基础之外,这里的学者似乎已经不满足于氘、氚等离子体的约束,甚至还有关于氙等离子体加速器的研究。 If unreadable, in conceivable these science fiction movies on the spaceship the Hall effect propeller produces the plume, understands probably that was anything. 如果难以理解的话,可以想象一下那些科幻电影中飞船上霍尔效应推进器产生羽流,大概就明白那是什么东西了。 Because underwent the appointment beforehand, Lu Zhou in the lounge of research institute, saw here head Professor Sam Lazerson quickly. 因为事先经过了预约,陆舟在研究所的休息室内,很快见到了这里的负责人萨姆・拉泽尔松教授。 After listening to the Lu Zhou purpose in coming, Professor Lazerson smiles. 在听完了陆舟的来意之后,拉泽尔松教授笑了笑。 You plan to design one, is used to observe the high temperature to press the plasma the experimental equipment?” “你打算设计一个,用来观测高温压等离子体的实验仪器?” Yes.” Had not denied, Lu Zhou nods. “是的。”没有否认,陆舟点了点头。 Professor Lazerson smiles, visits him saying that this and mathematical problem may be different, did not say that can make.” 拉泽尔松教授笑了笑,看着他说道,“这和数学问题可不同,不是说说就能造出来的。” I know, Lu Zhou shrugs, I want to consult the things in some technical.” “我知道,”陆舟耸了耸肩,“我只是想咨询一些技术方面的事情。” Lazerson has not spoken, but hinted Lu Zhou to continue with the look. 拉泽尔松没有说话,只是用眼神示意陆舟继续说下去。 Can look, he not Lu Zhou this layman talking irresponsibly is serious. 看得出来,他并没有将陆舟这个“外行”的信口开河当回事。 After all, if this gadget really has such good solution, will not tow to the present. 毕竟,如果这玩意儿真有这么好解决的话,也不会拖到现在了。 However Lu Zhou has not cared about the attitude that this plasma expert despises , to continue to say. 不过陆舟并没有在意这位等离子体专家轻视的态度,继续说道。 I whether to come up with a hypothesis, establishes two ports on the plasma track, delivers an irrelevant granule through a port to the deuterium and tritium plasma,...... I wants to know the granule recycling through the B port again, theoretically, such design whether can realize?” “我能否做一个假设,在等离子体轨道上设置两个端口,通过a端口向氘、氚等离子体中投送一颗无关粒子,再通过b端口将粒子回收……我想知道,在理论上,这样的设计是否能够实现?” Professor Lazerson feels the chin, inquired: This sounds...... Interesting, but does that to be useful?” 拉泽尔松教授摸着下巴,询问道:“这听起来……有点意思,但这么做有什么用?” „The plasma that direct observation high temperature presses is very difficult, but through to this/should particle encounter data, waveform changes, thus analyzes it the path in plasma, I feel in the math am feasible.” “直接观测高温压的等离子体很困难,但通过对该粒子碰撞数据,波形变化,从而分析其在等离子体中的运动轨迹,我觉得在数学上是可行的。” Knits the brows slightly, on the face of Professor Lazerson, restrained the contempt expression. 微微皱眉,拉泽尔松教授的脸上,收敛了轻视的表情。 , His expression started to enforce gradually, seemed like the possibility that pondered this mentality. 渐渐的,他的表情开始严肃了起来,似乎是在思考这条思路的可能性。 Long time later, Professor Lazerson opens the mouth to say. 良久之后,拉泽尔松教授开口道。 Common granule is not perhaps good!” “一般的粒子恐怕不行!” You said right,” Lu Zhou nods, the corners of the mouth brought back a happy expression, its quality must is similar to the tritium or the deuterium, and differentiates the reactant and product in dt reacting system, simultaneously helps observe and recycle......” “你说的没错,”陆舟点了点头,嘴角勾起了一丝笑意,“它的质量必须与氚或者氘相仿,且区分于dt反应体系中的反应物和产物,同时便于观察和回收……” Moreover what is most essential, it must enough stabilize!” “而且最关键的是,它必须足够稳定!”
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