The Finite-Dimensional Uniform Attractors for the Nonautonomous g-Navier-Stokes Equations

[摘要] We consider the uniform attractors for the two dimensional nonautonomous g-Navier-Stokes equations in bounded domainΩ. Assumingf=f(x,t)∈Lloc2, we establish the existence of the uniform attractor inL2(Ω)andD(A1/2). The fractal dimension is estimated for thekernel sections of the uniform attractors obtained.

[学科分类] 应用数学