285: Nonlinear PDEs with Multiphysics Coupling

After calming down slightly,

Guo Hao gradually felt relieved.

He could understand it. According to the financial statements sent by BASF, BASF had a lot of upfront investment in this business.

This included the investment in rebuilding a production line and developing large-scale production processes.

Even for a new factory, these alone were already a huge investment, totaling over a billion.

However, BASF did not count these investments as profit and loss.

Instead, they directly settled with him using the profit from the CL-1 material.

Looking at the clear and understandable financial statements in front of him,

Guo Hao was quite satisfied. It was a good cooperation partner.

However, Guo Hao also understood that BASF was showing goodwill towards him, as their contract was only for three years.

After three years, although BASF had the right of first refusal for renewal, if someone offered a high price, this right of first refusal would essentially be a dead letter.

This power ultimately rested in Guo Hao's hands, depending on what Guo Hao thought.

After all, Guo Hao had already received 300 million euros in authorization fees!

This single amount had reached 3 billion Dragon Country coins, which was already a very large sum of money.

Moreover, although BASF could earn more money subsequently, BASF's investment in the production line itself was already considerable.

He looked at the financial statements.

"I have confirmed it, there are no problems, let's do it this way!"

Guo Hao replied to Zhou Ming.

"Okay, Boss!"

Zhou Ming nodded.

After hanging up the phone, Guo Hao felt a little fortunate that he hadn't chosen Task Two, otherwise,

he probably wouldn't have gotten enough experience rewards so easily.

After all, he had overlooked the upfront investment in the CL-1 material. Getting 60 million in profit sharing was already very good.

As for Wanhua on the other side, he didn't know how much money they would share with him.

Just as Guo Hao was thinking,

Zhou Ming's phone rang again.

"What is it again?"

Guo Hao frowned slightly and said impatiently.

"Sorry, Boss, just as I hung up the phone with you, Wanhua also called! They sent us the financial statements, so..."

"Have you seen the statements?"

Guo Hao was slightly stunned and asked curiously.

"I just finished reading it and then called you."

"How much is the split?"

Guo Hao didn't bother to look at the statements and asked directly.

Zhou Ming also understood very well and immediately said to Guo Hao.

"According to Wanhua's statements, they spent a total of 500 million on developing a new production line and new manufacturing processes, but they did not include this money in the cost.

Then, in the past three months, they produced a total of xxx tons of CL-1 material. After deducting production losses and labor costs, they obtained a total profit of 1.2 billion, and the shared income that should be given to us is a total of 240 million."

Hearing Zhou Ming's words, Guo Hao was slightly surprised.

BASF didn't give him a surprise, but he didn't expect Wanhua to give him one.

A profit of 1.2 billion, even higher than BASF!

And the cost was so much lower than BASF.

The output was also higher than BASF. They almost started research and production at the same time. Wanhua was still more impressive!

Guo Hao was thoughtful.

Indeed, in China, whether it was labor costs or the upstream and downstream of the production line, there were many extremely strong advantages around 20 years ago.

Even BASF had to spend tens of billions to build a factory in Dragon Country.

"Okay, then let's do it this way. You can confirm it directly, and also send a copy of the financial statements to my email!"

Guo Hao said directly.

"Okay! Boss."

He hung up Zhou Ming's call.

Guo Hao opened his email and quickly glanced at Wanhua's financial report.

He had to say that Wanhua was truly sensible. Like BASF, they didn't want to earn short-term money.

Because the first batch of patent authorization and technical authorization were only for three years.

Everyone wanted to hold onto this kind of amazing new material and make money together.

In fact, whether it was Wanhua or BASF, it was a very simple matter for them not to share the money with him.

They could completely make the financial statements show a direct loss.

They themselves had spent a lot of money on building the production line.

Including it directly in the cost would not be a problem at all.

However, both large companies unanimously chose not to do so. Instead, they chose to truthfully give him his share.

The reason should be to get Guo Hao to continue authorizing them after three years!

Closing his email, Guo Hao smiled slightly.

He temporarily put these thoughts out of his mind.

At present, Goldbachs Conjecture was completely solved.

Next... he had to find a new research topic.

What kind of topic should he do?

Guo Hao tapped his fingers lightly on the table, a thoughtful look appearing in his eyes.

In the field of Number Theory, he had achieved very good results. Next, he couldn't be confined to this field.

Soon, Guo Hao's thoughts gradually became clear.

It was a problem that Guo Hao had wanted to find time to solve a long time ago.

It was about the Phase-field model in Materials Science: the nonlinear PDE with multi-physical field coupling.

The Phase-field model is a mathematical tool based on the continuum hypothesis, which describes the evolution of phase interfaces or microstructures in materials by introducing phase-field variables.

Its core idea originated from phase transition theory and was later developed into a dynamic model by many scientists, widely used to simulate processes such as phase separation, grain growth, and crack propagation.

The Phase-field model fully characterizes the complexity of material behavior by coupling multiple physical fields.

It can be said that in the field of Computational Materials Science, the Phase-field model is very important.

Guo Hao's mathematical model also introduced the Phase-field model. Of course, Guo Hao was not that strong before and did not solve some key problems in the Phase-field model.

For example, high-dimensional and multi-scale computation. The computational cost of three-dimensional or even four-dimensional Phase-field models increases exponentially with dimension, and existing algorithms are difficult to handle efficiently.

Another example is the numerical stability of higher-order derivatives. The fourth-order Cahn-Hilliard equation requires discretization of higher-order derivatives, and traditional finite difference or finite element methods are prone to numerical oscillations or non-physical energy dissipation.

There were also many similar problems.

Before, Guo Hao had been dealing with problems in the direction of Number Theory, mainly because those problems were more famous.

However, in terms of importance, they might not be more important than these problems in the Phase-field model.

For the future development of Computational Materials Science,

these problems must be solved by someone.

Guo Hao felt that he was that person. As for the Riemann Hypothesis...

Guo Hao had seen that thing before, but as for the difficulty...

Anyway, Guo Hao felt that it was very difficult for him to solve it now. The difficulty of this conjecture was extremely high!

In a short time, Guo Hao did not want to venture into one of the world's seven major problems.

None of the seven Millennium Prize Problems in Mathematics were easy to deal with!