Instantaneous gap loss of Sobolev regularity for the 2D incompressible Euler equations
Authors
Diego Córdoba, Luis Martínez-Zoroa, Wojciech Ożański
Abstract
We construct solutions of the 2D incompressible Euler equations in such that initially the velocity is in the super-critical Sobolev space for , but are not in for for . These solutions are not in the Yudovich class, but they exists globally in time and they are unique in a determined family of classical solutions.
