Chapter 411: Exploding equation?

Regarding the proof of thought, Lu Zhou and Professor Fefferman reached a consensus. However, how to construct this abstract bilinear operator B \ 'has become a very serious issue.
It must have a similar non-linear structure to the Euler linear operator B in (t), but at the same time it is different from B.
In partial differential equations, "non-linear" means complex.
A series of problems derived from it are even more complicated in the lead ...
At the first seminar in March, a small conference room at the Princeton Institute for Advanced Studies.
Looking at the calculations on the blackboard, Professor Fefferman said thoughtfully.
"I can be sure that we are very close to the end result, just a little worse."
Throwing the chalk head on the desk, Lu Zhou, who took two steps back, stared at the blackboard and nodded.
However, although he nodded, his face was not half happy, but because of the expression in front of him, he looked dignified.
After a while, Lu Zhou said.
"... I feel the same way."
Professor Fefferman sighed and lowered his arms.
"Sometimes the distance between failure and success is only a little bit, you know? I even start to doubt now ..."
Lu Zhou looked at him for inquiry.
"doubt?"
Professor Fefferman nodded: "Although we were optimistic at first that the proposition must be correct, more and more results tell us that it may not be as perfect as we think."
When he said this, Professor Fefferman's tone was full of uncertainty. There was no such thing as the unpredictable randomness when facing students in class.
For so many years, this is the first time he has shown such an uncertain expression on the formula he wrote.
Looking at the blackboard solemnly and silent for a while, Lu Zhou spoke hardly.
"This is ridiculous."
Professor Fefferman sighed: "Yes, this is ridiculous, but ... it is not unreasonable."
Talking, he found a cigarette and a lighter from his pocket.
In principle, smoking is not allowed in the conference room, and smokers must go to the designated smoking room.
But for research purposes, you can ignore this rule.
After all, this institute is built for science. All the rules here are to serve science and to make it easier for scholars to study science.
Without any hesitation, Professor Fefferman lit the cigarette, and then carefully placed it on the multimedia desk.
The mist of smoke spirals up.
After a brief entanglement and entanglement, the gradually enlarged column of smoke eventually diffused into the air, leaving no traces.
Staring at this natural phenomenon, Professor Fefferman said as if in order to convince himself, in a voice that spoke to himself.
"The final destination of all systems that can be predicted is chaos, just like our equation. The Δ value that bursts with the time term fits the truth of this universe in a sense. When the time variable is amplified, we Will explode at an unknown singularity and it will no longer be smooth ... "
This particular point is not infinite, but it does seem to exist.
It is difficult to solve its value with the existing mathematical methods, just as mathematicians are unable to solve the NS equation. However, through the method of indirect proof, it can be proved that it really exists ... if the proof process is correct.
With that said, Professor Fefferman no longer spoke, but instead smoked a cigarette in silence, smoking one after another.
Lu Zhou can be sure that this is definitely not for science, but just for venting the irritability in my heart.
He acknowledged that this was an unacceptable thing.
The results of the calculations are obvious, but they deviate from well-known common sense.
Will a car driving on a highway break itself up at a specific point in time without warning? This is obviously impossible. Even the worst and worst case is just a ticket from the traffic police.
If their conclusion is correct, then the NS equation in three dimensions will undoubtedly "explode" at a certain point.
And this means that at this point in time or space, it may no longer be regular ...
This is ridiculous!
...
The study of the NS equation has fallen into an unexpected bottleneck.
In the evening, the land boat that had restored the rhythm of life before, put on sportswear, jogged along Carnegie Lake, trying to relax by breathing fresh air.
Unfortunately, however, he failed to do so.
The issue discussed with Professor Fefferman in the afternoon was still lingering in his mind.
Running faster and faster, unknowingly, Lu Zhou sprinted.
It wasn't until he had exhausted all his physical strength that his legs began to feel as heavy as lead, and he stopped gradually.
Breathing heavily, Lu Zhou went to the lawn by the lake and sat on the ground with some relief.
Just then, a can of sports drink was dropped from the side, smashed on the soft lawn, and rolled to his hand.
Lu Zhou looked up and saw that Molina, wearing a sports suit, was standing not far away, holding another can of the same drink in her hand, and greeting him with her eyes.
"for you."
After hearing what she said, Lu Zhou was not polite, opened the can, and slammed his head up.
He breathed a sigh of relief, feeling the coldness of the spread of his chest, and raised his hand and wiped his mouth.
"Thank you."
"You're welcome."
Sitting beside, Molina opened her can of drink and took a sip.
Looking at Lu Zhou, who still had some breathing instability, she said casually.
"It's not like you."
Lu Zhou grinned, "What do you mean?"
Molina: "Two months ago, your physical strength was much better than it is now. It seems that this holiday has let you relax."
When she said this, Molina's tone was a little gloating, although Lu Zhou didn't know what she was gloating about.
No matter how lax he was a while ago, relying on what he has achieved now, he can still kill her and her mentor more than twice at the IMU conference in August this year ...
"Perhaps."
Lu Zhou made a shooting move and threw the can into a trash can near the lake.
Without any suspense, his shot is not biased to hit the bullseye.
However, his sight seemed to be stuck on the lake, and he couldn't move away.
The silence lasted about five minutes, and Lu Zhou suddenly said.
"You said that Carnegie Lake, would it suddenly explode?"
"You mean a bomb is buried under this lake?" Molina raised her eyebrows and said in a stinging tone. "In this country, this joke can't be messed with.
Lu Zhou smiled and shook his head: "I mean, under normal circumstances."
Molina took it for granted: "Of course not ... why do you ask so?"
Lu Zhou sighed: "Because my math is telling me that this possibility does exist."
Molina laughed out loud.
"This is bizarre."
Staring at the sparkling lake in the sunset, and staring at the kayak club members training on the lake, Lu Zhou said meaningfully.
"Yeah EbookFREE.me ~ This is bizarre."
But is this possible?
For example, for water molecules in the system that make irregular movements, the vectors of motion at a certain instant just go out at the same time? Just like natural volatility, but because of various coincidences, this "volatilization process" is more intense, and energy is released in an instant.
However, no matter how this brain hole is opened, the land boat cannot make up for it, and the kayak on the lake is blown out by the instant evaporation of the lake water.
unless……
Throw a large bomb in it or something.
But what he wants to discuss is obviously not the special case of "added empirical parameters".
Molina asked, "Is the still lake exploding on its own part of the NS equation?"
Lu Zhou nodded and said frankly.
"Yes."