"Navier-Stokes equation!" Tang Xue gritted her teeth and said.
"You...you are really cruel!"
"You asked me to do it." Tang Xue showed a trace of pride on her flawless face.
"Compared to world-famous problems such as the Riemann Hypothesis, Fermat's Last Theorem, and Goldbach's Conjecture, the Navier-Stokes equation has a very low sense of existence. Even in the ancient earth era, few people mentioned it.
The most important reason is that this problem is really not easy to understand, especially for ordinary people. Even ordinary people can figure out some of the top-ranked P/NP problem, but it is difficult to understand Navier-Stokes
Sri Lankan equation, which is why civil science rarely touches on this issue." Zhou Sen said with a wry smile.
"I don't ask you to untie it, just say whatever you want!" Tang Xue felt that she was going a little too far.
"It's okay to say a few words. The description of this problem in human history is actually very obscure: 'The undulating waves follow our boats that are meandering in the lake, and the turbulent airflow follows our modern jet aircraft.
Mathematicians and physicists are convinced that everything from breezes to turbulence can be explained and predicted by understanding the solutions to the Navier-Stokes equations. Although these equations were written in the 19th century,
We still understand very little about them. The challenge is to make substantial advances in mathematical theory that allow us to unlock the mysteries hidden in the Navier-Stokes equations.' This paragraph has no beginning and no end, you
Even in this passage, it is difficult to guess what problem this difficult problem describes, which reveals a metaphysical problem."
"Be specific!" Tang Xue's eyes became surprised.
"The Navier-Stokes equation was not proposed by one person. In 1775 on the ancient earth, the famous mathematician Euler, yes, that's right, Euler, the four kings of mathematics, is now involved in fluid mechanics.
In his book "General Principles of Fluid Movement", he derived a set of equations based on the force and momentum changes experienced by the fluid when the inviscid fluid moves. Equations such as: (axD+bxD+c)y=f(
x), which is the most important basic equation in inviscid fluid dynamics. It refers to the differential equation of motion obtained by applying Newton's second law to inviscid fluid particles. It describes the motion laws of ideal fluids. It lays the foundation for ideal fluid mechanics.
Base."
"Viscous fluid refers to a fluid whose viscosity effect cannot be ignored. Actual fluids in nature are all viscous, so actual fluids are also called viscous fluids. They refer to the friction between the flowable layers between fluid particles that resist relative motion due to relative motion.
The properties of... It can be said that the Navier-Stokes equation was generated under the promotion of many scientists and engineers. It is a set of equations that describe fluid materials such as liquid and air. These equations establish the change in particle momentum of the fluid.
The relationship between the rate and change of pressure acting inside a liquid and the dissipative viscous and gravitational forces. These viscous forces arise from the interactions of molecules and can tell us how viscous the liquid is. In this way, Navier-Stokes
Sri Lanka's equation describes the dynamic balance of forces acting on any given region of a liquid."
"In fluid mechanics, there are many equations, but many equations are related to the Navier-Stokes equation. The Navier-Stokes equation can be said to describe most conditions in the fluid field. Of course, this equation
It also has its scope of application. This equation only applies to Newtonian fluids. What is a Newtonian fluid? Simply put, it is: a fluid in which the shear stress at any point is a linear function of the shear deformation rate. Generally, high-viscosity fluids do not satisfy
A simple example of this relationship that illustrates Newtonian fluids and non-Newtonian fluids is the well-known siphon phenomenon. In order for siphoning to proceed at low viscosity, the suction port must be below the page, but for non-Newtonian fluids with high viscosity fluids
, even if the suction port is higher than the liquid level, the siphon can still be carried out because the viscosity is too high..."
"What are the applications of the Navier-Stokes equation?" Tang Xue asked Zhou Sen with a look on his face.
"For engineering applications, most cases still deal with Newtonian fluids, or can be approximated as Newtonian fluids. It can be said that this equation plays a fundamental role in fluid mechanics, but it also plays a decisive role... Although nanometer
The Navier-Stokes equation can describe the movement of fluids in space. Solutions to the Navier-Stokes equation can be used in many practical applications. For example, it can be used to simulate weather, ocean currents, water flow in pipes, and galaxies.
The movement of stars in the airfoil, the airflow around the airfoil. They can also be used in the design of aircraft and vehicles, the study of blood circulation, the design of power stations, the analysis of pollution effects, etc.”
"However, the current theoretical research on the solutions to the Navier-Stokes equation is still insufficient, especially the solutions to the Navier-Stokes equation often include turbulence. Turbulence, also known as turbulence, is a flow state of fluid. When
When the flow rate is very small, the fluid flows in layers and does not mix with each other, which is called laminar flow, or tablet sugar. When the flow rate is gradually increased, the streamlines of the fluid begin to oscillate in a wavy manner, and the frequency and amplitude of the oscillation increase with the increase of the flow rate.
This type of flow condition is called transitional flow; when the flow speed increases to a very large level, the streamlines are no longer clearly discernible, and there are many small eddies in the flow field, which are called turbulence, also known as turbulence, turbulence or turbulence. Although
Turbulent flow is very important in science and engineering, but the disorder, energy consumption and diffusion of turbulent flow are still one of the unsolved problems in physics."
"In addition, many of the fundamental properties of solutions to the Navier-Stokes equations have not yet been proven. Because the Navier-Stokes equations rely on differential equations to describe the motion of fluids. Unlike algebraic equations, these equations do not seek to establish
relationships between the variables under study, while seeking to establish relationships between the rates of change or fluxes of these quantities. In mathematical terms, these rates of change correspond to the derivatives of the variables. Among them, the simplest case of the ideal viscosity of 0
The Navier-Stokes equations for fluids show that acceleration is proportional to the derivative of internal pressure..."
"Note that the official statement of each mathematical problem in human mathematics problems, except for the P/NP problem, is written by Fields Medal winners in this field or who have made achievements on this problem to ensure that it can be summarized concisely.
problem, thereby ensuring the rigor of the problem, and because the P/NP problem involves computers, the official statement is written by Turing Award winner Stephen Cook, Existence and Smoothness of the Navier-Stokes Equation. Charles
·Official statement written by Feiffman. If you can't understand it, you can simply understand that scientists hope to find a general solution to the Navier-Stokes equation, which means to prove that the solution to the equation always exists. In other words
In other words, can this set of equations describe the situation of any fluid, under any starting conditions, at any point in time in the future?"
"Can you untie it?" Tang Xue was surrounded by Zhou Sen and was surrounded by clouds and fog.
"This is difficult...a set of equations that are difficult to explain using mathematical theory, and you still need to prove that the solution to this equation always exists. This makes many scientists collapse. Currently, only about a hundred special solutions have been solved
came out. The mathematician Jean Leray proved the existence of the so-called weak solution to the Navier-Stokes problem. This solution satisfies the Navier-Stokes problem on average, but cannot satisfy it at every point.
Since then, research on the Navier-Stokes problem has stagnated, so it is also known as the most difficult mathematical or physical formula... In any case, the Navier-Stokes problem continues to be solved.
In the process of solving the Max equation, countless new mathematical tools and mathematical methods were born, leading the continuous advancement and development of mathematics. This is the meaning of the existence of these difficult conjectures."
After Zhou Sen finished speaking, he looked at the two siblings with a calm expression.
Tang Xue and Tang Changfeng both looked at Zhou Sen with blank faces, especially Tang Xue, who had an incredible expression on his face.
Although Zhou Sen did not solve this equation, his understanding of this equation was enough to make Tang Xue look at him with admiration.
What impressed Tang Xue the most was that Zhou Sen's understanding was very comprehensive. Without in-depth research, he would never have such a profound insight.
Of course, Tang Xue didn't know that in fact, in the five star regions, this equation had been solved. However, Zhou Sen didn't want to be greedy for success on this planet, so he just explained some hard things, but he didn't expect that,
He just repeated some common sense things, and Tang Xue was shocked.
Zhou Sen's explanation and retelling paid off. Now, Tang Xue completely believed that he was a scientist, because the religious sect said it was a narration, but even some of the vocabulary in it could not be understood, such as "laminar flow" and "turbulent flow".
”, “turbulence”, “spoiler”, “turbulence”, these are extremely professional words that would never be uttered by those rotten guys.
"Can you really overthrow the West Asian Empire?" Tang Xue said with hope.
"Okay, but..."
"But what about it?" Tang Xue asked hurriedly.
"I will design some weapons, and you have to help me make them."
"Our supply chain has been interrupted, and we currently have fewer and fewer machines and equipment that can operate..." Tang Xue hesitated and said.
"It doesn't matter. As long as you have the space and resources, I can help you manufacture equipment."
"Are you alone?" Tang Xue said with a look of disbelief.
"I definitely can't do it alone, but as long as you have a team, I can teach you!" Zhou Sen said with certainty.
"We have encountered many difficulties. For example, transportation is a problem. Currently, there are checkpoints at all key intersections, which has caused not only a broken supply chain, but also the inability to transport some materials..."
"No problem, what do you think this is?" Zhou Sen pulled out the flying skateboard hidden under the sofa.
"What?" Tang Xue and Tang Changfeng looked at each other. They didn't know what this thing was.
"This is a flying skateboard."
"What is a flying skateboard?" Tang Xue asked with a confused face as it was the first time she saw a flying skateboard.
"Look!"
Zhou Sen stepped on the flying skateboard, leaned slightly, and the flying skateboard took off in the living room, and then flew in the small space.
Tang Xue looked at Zhou Sen in the air with enthusiasm, while Tang Changfeng's eyes shone.
"This flying skateboard is equipped with an anti-gravity device. When the time comes, I will give you a design drawing that will allow you to mass-produce various types of anti-gravity devices. Then, you can modify various vehicles. In this way, you can
You can bypass those roads and transport it directly secretly." Zhou Sen flew around twice and then landed and sat on the sofa.
"I know who you are..." Tang Xue looked at Zhou Sen with surprise.
"I……"
"Woof woof..."
Just when Zhou Sen was about to speak, suddenly, a violent roar and rolling sound of the Roaring Dog came from outside. It seemed that the Roaring Dog suffered a loss.
Someone!
"Peng!"
Before Zhou Sen had time to react, with an earth-shaking loud noise, a majestic and strange force actually swept the walls and roof of the entire wooden house into the air. However, the furniture in the living room did not move at all. Then, the huge roof fell
It disintegrated in the air, and then was twisted into powder by an invisible force. The powder was swept into the sky by a strong wind, like a long dragon flying in the air, which was spectacular.
What a ferocious power!
Zhou Sen was extremely shocked. He had never thought that there was such a tyrannical person on this planet.
A middle-aged man in a white robe stood in the courtyard with his hands behind his back, looking very impressive. A barking dog was barking at him from a distance. Judging from his gray-headed and embarrassed look, it must have suffered a loss just now.
"Western God of War!" Tang Xue said with her delicate body trembling.
"The God of War of the West Asian Empire?"
"Yes."
"The only thing left is to fight!" Zhou Sen slowly stood up and drew out his Tang Dao, exuding a raging fighting spirit.
"You are no match for him." Tang Xue's voice was trembling, and her fear of the West Asian God of War was evident.
“It’s still unclear who will win!”
Zhou Sen was aroused, and there was a cruel smile on the corner of his mouth. He held the Tang Dao and walked out of the courtyard step by step from the living room without walls and roof. When Zhou Sen left, he didn't know what was going on.
He suddenly summoned the flying skateboard into the mecha button. Because the atmosphere was tense, no one noticed that the flying skateboard disappeared out of thin air.
"call!"
not good!
An extremely dangerous atmosphere filled the air.
The moment Zhou Sen and Tang Changfeng passed each other, Tang Changfeng suddenly took action.
Unfortunately, because the distance was too close, even Zhou Sen's bravery could not avoid this sneak attack from behind. In fact, Zhou Sen did not guard against Tang Changfeng at all.
"Peng!"
A powerful force knocked Zhou Sen into the air, and then he fell heavily to the ground motionless. From the beginning to the end, the God of War of the West Asian Empire remained motionless, and the white robe on his body moved automatically in the absence of wind, giving people a sense of
An ecstatic illusion of ascending to heaven at any time.
"Changfeng, you are crazy!" Tang Xue roared sharply.
"Sister, I'm not crazy!"
"You...you...you actually betrayed us..." Tang Xue's eyes were red and her face was pale, shaking her head in disbelief.
"Sister, I'm sorry, the Awakened One is too important to us." Tang Changfeng said with a sinister smile.
"Are you sure he is the Awakened One?" Tang Xue looked desperately at Zhou Sen, who was motionless on the ground. She knew that the last glimmer of hope for the religious sect was shattered.
"He matches the characteristics of all awakened people. I think you already know his identity." Tang Changfeng said with a proud smile.
"Changfeng, you disappoint me so much...Changfeng...I don't have a brother like you...no..."
Tang Xue, who looked desperate, shook her head as she spoke, and suddenly pulled out a gun and pointed it at her temple without warning. However, when she pulled the trigger, the expression on her face froze because she had lost her finger.
Sensation. No, not just her fingers, her entire body lost consciousness.
"Sister, you can't die yet. The emperor has seen your photo and will never forget you." Tang Changfeng said with a wicked smile.
