Existence Of Global Attractors For A Nonlinear Convection Reaction-Diffusion Equation

This paper is concerned with a nonlinear reaction-diffusion equation with a convection term a(x)·▽u, where Ω.(?) Rn is a bounded domain with smooth boundary (?)Ω.First, we get the existence of solutions by Galerkin for the equation:Secondly, by applying the asymptotic a priori estimate method and norm-to-weak continuous semigroup theory, we obtain the existence of the global attractor in L2(Ω).Lp(Ω) and H01(Ω).