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Existence of time periodic solutions for the 3-D viscous primitive equations of large-scale dry atmosphere
Wei Luo,Xianyun Du
Keywords:Primitive equations; time periodic solutions; Navier-stokes equation.
Abstract:
      In this paper, we consider the existence of time periodic solutions of the 3-D viscous primitive equations of large-scale dry atmosphere. We used the Galerkin method. Firstly, by Leray-Schauder fixed point theorem, we prove the existence of approximate solutions of the primitive equations, then we show the convergence of the approximate solutions, and we also get the uniqueness to the primitive equations.