We analyze a heuristic numerical method suggested by V.I. Petviashvili in 1976 for approximation of stationary solutions of nonlinear wave equations. The method is used to construct numerically the ...
It is not yet known if the global attractor of the space-periodic 2D Navier-Stokes equations contains non-stationary solutions u(x,t) such that their energy and enstrophy per unit mass are constant ...