The Navier-Stokes equations are a set of partial differential equations that describe the behavior of fluids in motion, such as air or water, and govern how they flow through natural or human-made structures, including bridges. These equations are widely regarded as one of the most challenging mathematical problems facing humanity. Despite the concerted efforts of numerous researchers, a general solution to the Navier-Stokes equations remains elusive. Notably, the Navier-Stokes problem is one of the seven Millennium Prize Problems, each of which carries a $1 million reward for a correct solution. The deadline for solving this challenging problem is set for 2035.
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