Chapter 268 Essence
Soon, at several intersections near the coastline, obvious signs appeared stating that the area was under repair and that people should not approach.
With this signpost, even if there are visitors who are not afraid of the heat and want to take a walk on the beach, they will turn around and look back after being reminded, and the diversion will be completed quietly.
The people who can appear in the sanatorium are generally of high quality, and there are basically no weirdos who would seek death and refuse to cooperate. Since they are reminding them to do maintenance, why would they go forward and take risks?
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The sun climbed higher and higher, hiding behind the thick clouds, shining with the hot temperature of summer. However, in such a not-so-comfortable temperature, Wu Tong had forgotten the outside world, his mind was working rapidly, and huge waves were surging in Wu Tong's mind... Mathematical symbols and formulas were flying...
Euclidean space... Usually, vectors in 3D space V3 can discuss geometric properties such as length and angle. If a = (a1, a2, a3), β = (b1, b2, b3), then the length of a and the inner product of β and the angle between β and β, β = aos (assuming that a and β are non-zero vectors). By extension, in n-dimensional vector space Rn, if a = (a1, ..., an), β = (b1, ..., bn)
Rules...When returning to fluid, all predictable fluids will, in a sense, be in harmony with the truth of the universe, pluck the strings of variables, and stir up all changes in this world.
The existing mathematical methods are difficult to solve the value of the NS equation. Since this problem arose, mathematicians have been at a loss. At present, when the time variable is infinitely magnified during the solution process, they will face the tragedy of the equation exploding. The result of the calculation is usually normal logic.
Just like water will flow backwards,... just like a car driving on an obstacle-free road, it will suddenly disintegrate itself without any warning at a certain point in time. Such an absurd possibility. Speeding on the highway will only result in being photographed by the traffic police system and being punished, or in more serious cases, having your driver's license revoked.
Using the Euler equation to simulate and deduce, where two flows meet, the vorticity (speed and direction of rotation) of the fluid will increase sharply. The growth rate is very fast and can become infinite in a short time.
This kind of infinity is a singularity, and it is exactly the value that mathematicians want to know for sure whether it exists in the Euler equations and the NS equations... But in this direction, computers cannot calculate the value of infinity.
In other words, it can get very close to seeing the singularity and is an approximate solution, but it is not an exact solution to the singularity.
The NS equation has its solution, and what she wants is the real solution, not the so-called approximation.
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When existing mathematical methods are useless, does that mean that there is no way out? No, Wu Tong disagrees. She believes that there is always a way out. If there is no method, then create a mathematical method as a solution to climb this insurmountable mountain.
Momentum is a force acting on a fluid particle with an equation. For the center of a fluid particle, it will be subjected to stress (Normal Force) and shear force...
The essence of fluid mass conservation, that is, the mass of fluid passing through a fixed area per unit time is constant... The connection between the laws of fluid motion... Under macroscopic low-speed conditions, the constitutive equations and Newton's second law are used to obtain the governing equations of the fluid and the governing equations of the solid.
Conservation of momentum, fluid momentum balance···Topological infinity···Nonlinear, incompressible, multi-scale····
Wu Tong spent half a day in deep thought, from the time the sun rose to the horizon, until now it was about to fall into the horizon again. Wu Tong's eyes gradually became clearer as the sea breeze and waves grew stronger under the afterglow of the setting sun. The smile on her lips became more intense, and the vein of breakthrough was in her heart.
"Sister An, Brother Cai, let's go back!" Wu Tong turned her head to look at An Wenshu who had been guarding her, and Cai Yi who had arrived not far away at some point in time.
"You've been so tired of staying here with me, we're all sunburned and hungry. Let's go back and replenish our energy. Sister An and Brother Cai, you all should get some more rest tomorrow. I won't be going out from tomorrow on!"
"Mr. Wu, are you done with your work here?" An Wenshu breathed a sigh of relief when she saw Wu Tong come back to her senses. She unscrewed a bottle of water and handed it to Wu Tong, asking her to sip it slowly and not drink a large amount at once.
In the state of water shortage, a large amount of excess water will cause the osmotic pressure in the blood to drop significantly, and the water in the blood vessels will enter the tissues and cells, and the osmotic pressure in the cells will also drop, resulting in edema. In particular, edema in brain cells can easily cause nausea and vomiting...
All factors that may affect Wu Tong's health must be excluded, not to mention the possibility of damaging Wu Tong's precious brain, which is absolutely prohibited and will not be allowed to exist.
"Yes, a mathematics project has a direction. I may work on this project in the near future so that my family can recuperate with peace of mind. If they want to return, please ask Brother Cai to arrange someone to send them back. I will decide based on the progress of the project!" Wu Tong took advantage of the fact that he had not yet completely entered into seclusion to explain things in advance.
Her father loves his job and is used to working diligently. He probably won't be away from work for a long time. He can leave his uncle's business for a while, but he can't leave it for a long time. After mid-August, her mother will also have to prepare for the start of school...
The family members might plan to go home after the novelty wears off, but Wu Tong is not sure whether he will still be contactable by then. She is afraid that her family members will worry and disturb her, so they are unwilling to speak and silently wait for him to waste unnecessary time. Wu Tong specially entrusts him with this task first.
The NS equation involves a wide range of issues. Although she currently has a fairly clear direction, it will take some time to completely solve this problem.
Creating tools, completing proofs... Wu Tong felt that she was able to finish this problem in September, which was done at super speed. The time on her side was too uncertain, and she didn't want her uncertainty to affect the normal life of her family.
"Please prepare enough draft paper and pens for me!" Wu Tong arranged them one by one. She originally planned to spend some time with her family and have a good rest, so she was not asked to prepare these things. Unexpectedly, inspiration always comes inadvertently. On the first day after her birthday, she accidentally caught the inspiration that broke through the barrier, linked all the scattered progress together, and forged the direction of progress.
Once you have inspiration, of course you have to seize it at the right time, so Wu Tong immediately changed his plan.
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