The study of free boundary problems in the Navier-Stokes equations addresses the subtle interplay between the dynamics of viscous, incompressible fluids and the evolution of interfaces whose locations ...

A daring speculation offers a potential way forward in one of the great unsolved problems of mathematics: the behavior of the Navier-Stokes equations for fluid flow From Quanta Magazine (find original ...

In this paper, we give a pointwise estimate of the uniform space-analyticity radius of solutions of the Navier-Stokes equation in terms of the vorticity magnitude as well as in terms of the Grashof ...

Wind energy is a critical part of the global energy transition, and yet there is one fundamental issue that physicists and engineers have been unable to solve. Reliability is a cornerstone of ...