Affiliation:
1. Departments of Mathematics and Physics, University of Michigan, Ann Arbor, Michigan 48109-1043;
Abstract
It is not known whether the three-dimensional (3D) incompressible Navier-Stokes equations possess unique smooth (continuously differentiable) solutions at high Reynolds numbers. This problem is quite important for basic science, practical applications, and numerical computations. This review presents a selective survey of the current state of the mathematical theory, focusing on the technical source of difficulties encountered with the construction of smooth solutions. It also highlights physical phenomena behind the mathematical challenges.
Cited by
81 articles.
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