In their new study now published in Nature Communications, researchers at the Max Planck Institute for Dynamics and Self-Organization have deciphered a novel regularization mechanism encoded in the Navier-Stokes equations that offers a new direction in the exclusion of singularities
From stirring sugar in coffee to global weather patterns – turbulent currents constantly shape the life around us. Mathematically, they are described by the Navier-Stokes equations, as now known for almost two centuries. Despite the widespread use of these equations to describe turbulent flows in the natural and engineering sciences, it remains unclear whether they represent a well-posed problem, i.e. whether the solutions of the Navier-Stokes…