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Chapter 355: Lin's Curvature Tensor(2/2)

This is a new mathematical theory that Lin Xiao is trying to develop, inspired by the eddy current phenomenon in magnetic fluid channels.

To find a general solution to the NS equation, past mathematical theories are obviously not enough. He needs to create a brand new mathematical theory to find a solution.

"Based on the fluid model formed in the eddy current magnetic fluid thruster, I can directly construct a brand new equation. Well... From the Cauchy-Lipschitz theorem, I can try to do such a construction..."

『R(u,v)w=▽u▽vw-▽u▽u&……』

"Um……"

Looking at this equation, Lin Xiao touched his chin, thought for a moment, and then continued to write.

"For fluids, no matter how they change, the boundaries formed by their molecules can always be defined by equations. In addition, it is precisely because of the existence of internal molecules that these fluids are differentiable."

Seeing this, Lin Xiao couldn't help but feel dizzy. In this case, if the differential was to be made to the level of fluid molecules, the amount of subsequent calculations would become very huge.

Of course, he soon stopped worrying about it. The huge amount of calculations now was all in preparation for the final streamlining.

It's like doing a math question during an exam. After a series of complex calculations, the final answer is just a simple 0 or 1, or 2022.

"So based on this differentiability, I can construct a new curvature theory."

Lin Xiao's brows moved, showing a little joy.

He has spent a lot of time building this brand new theory.

But now, his thoughts have finally become extremely smooth, and the next steps in his thinking have become extremely clear.

"R=RklijRDx^k......"

Until finally, Lin Xiao stopped writing.

"Finally...completed."
Chapter completed!
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