分野別セミナー

　We consider weak solutions of the 2D filtered-Euler equations, which are a regularized model of the 2D Euler equations based on a spatial filtering. We introduce the results of the global well-posedness for initial vorticity in the space of finite Radon measures and the convergence to the 2D Euler equations for vortex sheet solutions in the zero limit of the filter scale. We also show that the energy is conserved for a certain class of initial vorticity and there exisit weak solutions dissipating the enstrophy in that limit.