Finally, that couplet streamer Lu Zhou has not written. 最终,那对联横批陆舟也没写出来。 Small 小 Said. 说. However as the unexpected benefit, he research to the ns equation, actually made a big progress. 不过作为意外收获,他对ns方程的研究,却是取得了不小的进展。 „Navier-stokes equation on the Euclidean space can be expressed as the t = △ + b ( , ) form, B is a bilinear operator in no divergence vector field, obedient elimination < b ( , ), > = 0......” “欧几里德空间上的navier-stokes方程可以表示为t=△+b(,)的形式,其中b是无散度向量场上的一个双线性算子,服从消去性〈b(,),〉……” The pen tip ignites in the scratch paper gently, on the mouth is muttering Lu Zhou, gawked suddenly slightly, immediately shakes the head with a smile. 笔尖在草稿纸轻轻点着,嘴上喃喃自语着的陆舟,忽然微微愣了下,随即笑着摇头。 „After reaching an agreement goes home, no longer bumps the math, really cannot provide lodging own hand......” “说好回了家以后就不再碰数学,果然还是管不住自己的手……” Wrote the postil on the scratch paper, Lu Zhou stopped the pen in hand, stood up forced in the suitcase this pack of manuscript paper, planned that Princeton did the research again. 在草稿纸上写下了批注,陆舟停下了手中的笔,站起身来将这叠稿纸塞进了行李箱,打算等回了普林斯顿再做研究。 The matter on research he also all year round time can be done. 研究上的事情他还有一整年的时间可以去做。 But accompanies the parents, accompanies the family member, actually only then present he has this time...... 而陪陪父母,陪陪家人,却只有现在的他才有这个时间…… ...... …… These days of remaining, Lu Zhou has not worried about the matter on work again, wholly-absorbed new year's celebration. 剩下来的这段时间里,陆舟没有再去操心工作上的事情,专心过年。 Rested this over half a month time, Lu Zhou felt oneself looked like full blood resurrecting to be the same, mental outlook face glowing with health of whole person many. 休息了这大半个月的时间,陆舟感觉自己就像是满血复活一样,整个人的精神面貌容光焕发了不少。 Especially meal that the parents make, is to make his appetite open greatly. 尤其是父母做的饭菜,更是让他胃口大开。 The only regret is, how his does not have the meat steadily the physique, even if ate to rest eating daily, the body weight had no change. 唯一的遗憾便是,他那怎么都长不起肉的体质,即便天天吃了睡睡了吃,体重还是没什么变化。 Then, celebrated a relaxed satisfied and happy new year. 就这样,过了一个轻松惬意而又愉快的新年。 After 15 Lantern Festival, Lu Zhou said goodbye to the family member, carries the travel bag, stepped again journey that goes to Princeton. 十五的元宵过后,陆舟告别了家人,背起行囊,再次踏上了前往普林斯顿的征程。 Rode High Speed Rail to go to the provincial capital, the Lu Zhou direct change of scene iron went to the airport. 乘坐高铁前往了省会,陆舟直接转地铁去了机场。 Sits in the terminal, is brushing Weibo to kill the time Lu Zhou, suddenly received Chen Senior Sister message. 坐在候机大厅,正刷着围脖打发时间的陆舟,忽然收到了陈学姐的短信。 Chen Yushan: 【Study does the younger brother, when you return to school?】 陈玉珊:【学弟,你什么时候返校啊？】 Sees the message, Lu Zhou smiles, the finger pokes the screen to return said. 看到短信,陆舟笑了笑,手指戳着屏幕回道。 【I must board craft immediately.】 【我马上都要登机了。】 Received the message of reply quickly. 很快收到了回复的短信。 Chen Yushan: 【, You have not waited for me unexpectedly, that's too much】 陈玉珊:【啊,你居然没等我,好过分】 Lu Zhou:......? 陆舟:……？ You did not have to say with me ahead of time must walk together...... 你也没提前和我说要一起走啊…… However said, the Senior Sister when also learned sold to sprout/moe. 不过说起来,学姐什么时候也学会卖萌了。 Sees that face writing, the Lu Zhou flash also thinks that this message is the Xiao Ai round. 看到那个颜文字,陆舟一瞬间还以为这条短信是小艾发的。 Takes plane flies in Shanghai from the provincial capital, has flown from Shanghai again Pacific Ocean. 坐飞机从省会飞到沪上,再从沪上飞过了太平洋。 After more than 20 hours of going through many places, Lu Zhou is dragging the suitcase finally, went out of Philadelphia International Airport. 经过二十多个小时的辗转,陆舟总算是拖着行李箱,走出了费城机场。 The parking lot outside airport, his student Jericho is opening his Ford explorer, had waited there for some time there. 机场外的停车场,他的学生杰里科开着他的福特探险者,已经在那儿等候多时了。 Saw that walked Lu Zhou that from the airport, Jericho waves excitedly, helping him open the trunk. 看到从机场走来的陆舟,杰里科兴奋地挥了挥手,帮他拉开了后备箱。 „Professor, you came back finally, how does this vacation pass?” “教授,您终于回来了,这个假期过得怎么样？” Lu Zhou said: „Is happy, you? I not in this period of time are you good?” 陆舟笑着说:“非常愉快,你们呢？我不在的这段时间你们还好吗？” Jericho cracks into a smile: „Is good, is you are not, always felt short of anything.” 杰里科咧嘴一笑:“好得很,就是您不在,总感觉少了些什么。” Started the automobile, Jericho brought Lu Zhou to return to the tranquil Princeton small town. 发动了汽车,杰里科带着陆舟回到了宁静的普林斯顿小镇。 In this small town seems flowing a mysterious charm, can wash off the impetuousness in person heart, when Lu Zhou steps into here instance, then felt that all returned to the right track. 这座小镇上仿佛流淌着一种神奇的魔力,能够洗去人心中的浮躁,当陆舟踏入这里的瞬间,便感觉一切都回归了正轨。 At home recuperation a day. 在家里休整了一天。 Next day, Lu Zhou had an early bed, after having had the breakfast, then left to go to the higher research institute, found Professor Fefferman. 次日,陆舟起了个早床,吃过早餐之后便动身前往了高等研究院,找到了费弗曼教授。 When he arrives in Professor Fefferman the office, in the office besides Fefferman, several postgraduate candidates who he leads. 当他抵达费弗曼教授办公室的时候,办公室里除了费弗曼本人之外,还有他带的几名博士生。 Saw to appear in entrance Lu Zhou, Professor Fefferman stopped the pen in hand, said benignly: „Does vacation pass happily?” 看到出现在门口的陆舟,费弗曼教授停下了手中的笔,和颜悦色地说道:“假期过得愉快吗？” Lu Zhou: „Very happy, I for a long time have not let off such long vacation very much.” 陆舟:“挺愉快的,我已经很久都没放过这么长的假期了。” Professor Fefferman: „Right? That possibly somewhat will be then busy.” 费弗曼教授:“是吗？那接下来可能会有些忙了。” Lu Zhou smiles lightly. 陆舟淡淡笑了笑。 „Has prepared.” “早就准备好了。” Year ago two people formed „ns topic-based group”, made many progress on the relevant research of ns equation, the matter that because afterward Lu Zhou returning to homeland received an award, the research stagnated temporarily. 早在年前两人成立了“ns课题组”,就ns方程的相关研究也取得了不少的进展,后来因为陆舟回国领奖的事情,研究暂时陷入了停滞。 Since however this period of time, although Lu Zhou has dropped is catching a fish by hand, but Professor Fefferman does not have the stop research, these two in the research before the issue that encounters has conducted the study. 不过这段时间以来,虽然陆舟一直掉线在摸鱼,但费弗曼教授却是没有停止研究,一直在这两人之前研究中碰到的问题进行钻研。 From the desk advance party, Professor Fefferman arrived by the window, suddenly somewhat asked towering: „Do you smoke?” 从办公桌前站了起来,费弗曼教授走到了窗户旁边,忽然有些突兀地问道:“你抽烟吗？” Lu Zhou: „Does not pull out, how?” 陆舟:“不抽,怎么了？” „It‘s nothing, does not pull out is right, that is not the good thing,” on the side of Professor Fefferman took out cigarette from the cigarette case, lights with the cigarette lighter, handed over to Lu Zhou, „sometimes, but, it will also bring the unexpected inspiration to me.” “没什么,不抽是对的,那不是什么好东西,”费弗曼教授一边从烟盒里取出了一支烟,用打火机点燃,向陆舟递了过去,“不过,有时候它也会给我带来意想不到的灵感。” Received the cigarettes that Professor Fefferman distributed, Lu Zhou is pinching with two fingers, is looking at carefully that the smog that hiked up from the cigarette. 接过了费弗曼教授递来的烟,陆舟用两根指头捏着,端详着那从香烟上飘起的烟雾。 The smog on cigarette butt is indistinct, has the column of smoke to diverge gradually. 烟头上的烟雾缥缈向上,有型的烟柱渐渐发散。 Probably a viscosity coefficient very low fluid. 就好像一种粘滞系数很低的流体。 Stares the cigarette that is soon burning through to look at a while, Lu Zhou understood anything indistinctly, but opens the mouth to ask: „What do you want to tell me?” 盯着那根快要燃尽的香烟看了一会儿,陆舟隐隐约约懂了些什么,不过还是开口问道:“你想告诉我什么？” Professor Fefferman smiles, benign saying: The fluid that „every so often we study looks like it to be the same, from circles to finally the chaotic radiation orderly, from initial can forecast that finally loses control completely. Even if exhausts all mathematical instruments, is unable to describe the evolution of this chaotic state.” 费弗曼教授笑了笑,和颜悦色的说道:“很多时候我们研究的流体就像是它一样,从有序地盘旋到最后杂乱无章的发散,从最初的可以预测到最终完全失控。即使是用尽所有的数学工具,也无法描述这种混沌态的演变。” Lu Zhou has not spoken, waited for him to continue peacefully. 陆舟没有说话,安静地等待着他继续说下去。 „Since this period of time, I have been pondering that issue that you leave behind,” arrived at side of blackboard, Professor Fefferman smiles, takes the chalk to write while said, „previous time we obtained pi: = i-( Δ ^-1) δiδjj, I conducted a more further analysis after this, discovered some more interesting thing......” “这段时间以来,我一直在思考你留下的那个问题,”走到了黑板的旁边,费弗曼教授笑了笑,拿起了粉笔一边写一边说道,“上次我们得到了pi:=i-(Δ^-1)δiδjj,在此之后我进行了更进一步的分析,发现了一些更有趣的东西……” 【< B ( , v ) , w > = π i ∫ Λξ 1, ξ2, ξ3(( ξ1), V( ξ2), w( ξ3))......】 【〈b(,v),w〉=-πi∫Λξ1,ξ2,ξ3((ξ1),v(ξ2),w(ξ3))……】 This is the research results of previous Lu Zhou demonstration on blackboard. 这是上次陆舟展示在黑板上的研究成果。 However Professor Fefferman in the foundation, did a more further research again. 不过费弗曼教授再次基础上,做了更进一步的研究。 „Assigns a Schwartz no divergence vector field 0, time-gap i 【 0 , ∞), I continue to define the navier-stokes equation generalized solution h10 am, continuous mapping that → h 10 df ( ) obeys General points equation ( t )......” “给定一个施瓦茨无散度向量场0,时间间隔i【0,∞),我继续们定义navier-stokes方程的一个广义解h10为,一个服从积分方程(t)的连续映射→h10df()……” 【( t) = e ^( t △) 0 + ∫ e ^( t-t') △ B(( t ‚),( t')) dt'】 【(t)=e^(t△)0+∫e^(t-t')△b((t‘),(t'))dt'】 【......】 【……】 Ignorant in the office another two postgraduate candidate faces compel looked on a blackboard the dense and numerous mathematical formulas, another face compelled to lower the head ignorant , to continue to do oneself matter. 办公室里另外两名博士生一脸懵逼的看了眼黑板上密密麻麻的算式,又一脸懵逼地低下了头,继续搞自己地事情去了。 The big shot discussed the academic issue. 大佬们讨论学术问题。 Cannot stir up, cannot stir up...... 惹不起,惹不起…… Finally finished the last line of mathematical formulas, Fefferman took back the chalk in hand, looked to nearby Lu Zhou. 终于写完了最后一行算式,费弗曼收回了手中的粉笔,看向了旁边的陆舟。 „How do you see?” “你怎么看？” Stared at the blackboard to stare at a while, Lu Zhou opened the mouth to say. 盯着黑板凝视了一会儿,陆舟开口道。 „You constructed a partial differential equation that is similar to the ns equation?” “你构造了一个类似于ns方程的偏微分方程？” „Right,” Professor Fefferman said with the relaxed tone, „constructs abstract bilinear operator b', this kind of bilinear operator and ( t ) Central Europe back guy operator B has similar non-linear structure, but it distinguishes between B.” “没错,”费弗曼教授用轻松的语气说道,“构造一个抽象的双线性算子b',这类双线性算子与(t)中欧拉线性算子b具有类似的非线性结构,但同时它又区别于b。” „If we prove this stronger conclusion establishment......” “如果我们证明这个更强的结论成立……” Professor Fefferman nods with a smile: „We can show indirectly, the original conclusion also establishes!” 费弗曼教授笑着点了点头:“我们就能间接证明,原结论同样成立！”