Navier-Stokes equations: Classical and generalized models

On the long-time behavior of solutions of 2-d Euler equations

speaker: Alexander Shnirelman (Department of Mathematics and Statistics, Concordia University, Montreal, Canada)

abstract: Experiments and numerical simulations give a strong evidence that there exists a huge attractor for the Euler equations in the space of incompressible vector fields on the 2-d torus. In this work, using some generalized variational approach, we construct a set of solutions of 2-d Euler which is an attractor in some extended sense; it remains unclear whether this set is attractor in a usual sense.

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