摘要
It is proved that there exist global weak solutions of 2-D Euler equations in R2 under the assumption that the initial vorticity belongs to a kind of wider spaces, which are Orlicz spaces containing spaces and so on. This result improves on that of [2], [4], [11]. Moreover, these solutions are obtained by vanishing the viscosity term of Navier-Stokes equations.
It is proved that there exist global weak solutions of 2-D Euler equations in R2 under the assumption that the initial vorticity belongs to a kind of wider spaces, which are Orlicz spaces containing spaces and so on. This result improves on that of [2], [4], [11]. Moreover, these solutions are obtained by vanishing the viscosity term of Navier-Stokes equations.