Paper of Sergey Zelik on attractors in the Euler equations appears in DCDS-B

The paper “Strong trajectory and global W(1,p)-attractors for the damped-driven Euler system in 2D” will appear in the July 2017 issue of Discrete and Continuous Dynamical Systems – Series B.  A link to the published paper is here. The paper is co-authored by Vladimir Chepyzhov (IITP, Moscow), Alexei Illyin (Keldysh, Moscow), and Sergey Zelik. The paper considers the damped and driven two-dimensional Euler equations in the plane with weak solutions having finite energy and enstrophy. It is shown that this system has a strong global and a strong trajectory attractor in a Sobolev space.