The existence of the pullback attractor for the 2D non-autonomous g-Navier- Stokes equations on some bounded domains is investigated under the general assumptions of pullback asymptotic compactness. A new method to pr...The existence of the pullback attractor for the 2D non-autonomous g-Navier- Stokes equations on some bounded domains is investigated under the general assumptions of pullback asymptotic compactness. A new method to prove the existence of the pullback attractor for the 2D g-Navier-Stokes eauations is given.展开更多
The pullback asymptotic behavior of the solutions for 2D Nonautonomous G-Navier-Stokes equations is studied,and the existence of its L^(2)-pullback attractors on some bounded domains with Dirichlet boundary conditions...The pullback asymptotic behavior of the solutions for 2D Nonautonomous G-Navier-Stokes equations is studied,and the existence of its L^(2)-pullback attractors on some bounded domains with Dirichlet boundary conditions is investigated by using the measure of noncompactness.Then the estimation of the fractal dimensions for the 2D G-Navier-Stokes equations is given.展开更多
基金Project supported by the National Natural Science Foundation of China (No. 10871156)the Fund of Xi’an Jiaotong University (No. 2009xjtujc30)
文摘The existence of the pullback attractor for the 2D non-autonomous g-Navier- Stokes equations on some bounded domains is investigated under the general assumptions of pullback asymptotic compactness. A new method to prove the existence of the pullback attractor for the 2D g-Navier-Stokes eauations is given.
基金This work was partially supported by the National Natural Science Fund of China(Grant No.10871156)the Fund of XJTU(Grant No.2009xjtujc30).
文摘The pullback asymptotic behavior of the solutions for 2D Nonautonomous G-Navier-Stokes equations is studied,and the existence of its L^(2)-pullback attractors on some bounded domains with Dirichlet boundary conditions is investigated by using the measure of noncompactness.Then the estimation of the fractal dimensions for the 2D G-Navier-Stokes equations is given.
