论文信息 - Large time behavior to the system of incompressible non-Newtonian fluids in R2

Large time behavior to the system of incompressible non-Newtonian fluids in R2

Abstract In this paper, the authors study the large time behavior for the weak solutions to a class system of the incompressible non-Newtonian fluids in R 2 . It is proved that the weak solutions decay in L 2 norm at (1+ t ) −1/2 and the estimate for the decay rate is sharp in the sense that it coincides with the decay rate of a solution to the heat equation.

Bo-Qing Dong | Yongsheng Li | Yongsheng Li | Bo-Qing Dong

[1] Zhang Linghai,et al. Sharp Rate of Decay of Solutions to 2-Dimensional Navier-Stokes Equations , 1995 .

[2] J. Necas,et al. Young Measure‐Valued Solutions for Non-Newtonian Incompressible Fluids1 , 1994 .

[3] Existence and regularity of solutions of non-Newtonian flow , 2000 .

[4] Š. Nečasová,et al. L2 decay for weak solution to equations of non-Newtonian incompressible fluids in the whole space , 2001 .

[5] J. Lions. Quelques méthodes de résolution de problèmes aux limites non linéaires , 1969 .

[6] Maria E. Schonbek,et al. Large time behaviour of solutions to the navier-stokes equations , 1986 .

[7] Hantaek Bae,et al. On the Navier-Stokes equations , 2009 .

[8] Hyeong‐Ohk Bae. Existence, Regularity, and Decay Rate of Solutions of Non-Newtonian Flow , 1999 .

[9] Michael Wiegner,et al. Decay Results for Weak Solutions of the Navier–Stokes Equations on Rn , 1987 .