半空间R_+~n上一类修正的Navier-Stokes方程解的L^2衰减性(英文)

L^2 Decay of the Modified Navier-Stokes Equations in Half Spaces R_+~n

考虑了一类修正的Navier-Stokes方程在半空间解的时间衰减性．利用Stokes算子的谱分解方法和L^p—L^q估计,证明了其弱解具有和线性方程同样的最优代数衰减率．

The modifications of Navier-Stokes equations in half spaces R^n＋ is concerned. Using the spectral decomposition methods of Stokes operator and L^p-L^q estimates, it is proved that the optimal algebraic L^2-decay rates of weak solutions, which are the same as the solutions of the linear equations.