Mathematicians solve century-old fluid dynamics mystery
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After 125 years, mathematicians have solved a longstanding problem that could unify the three foundational theories of fluid dynamics, offering a bridge between the microscopic world of particles and the macroscopic flow of fluids. The breakthrough helps unite three different ways of describing fluid motion, each used at a different scale, and provides long-needed mathematical support for assumptions that have guided fields like weather prediction and aircraft design. It may also shed new light on the complex behavior of systems such as the atmosphere and oceans.
Source
Deng, Yu & Hani, Zaher & Ma, Xiao. (2024). Long time derivation of Boltzmann equation from hard sphere dynamics. 10.48550/arXiv.2408.07818.
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