Weak and Strong Solutions for the Stokes Approximation of Non-homogeneous Incompressible Navier-Stokes Equations
β Scribed by Xiao-jing Cai; Quan-sen Jiu*; Chun-yan Xue
- Publisher
- Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2007
- Tongue
- English
- Weight
- 192 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0168-9673
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π SIMILAR VOLUMES
In this paper, we deduce the estimates on decay rates of higher order derivatives about time variable and space variables for the strong solution to the Cauchy problem of the NavierαStokes equations. The rate obtained is optimal in the sense that it coincides with that of solution to the heat equati
## As (uβ’β)u Au +C \* βu 3 +C \* u 2 , with C \* a positive constant that is independent of the 'size' of domain, one gets
The solution of the full non-linear set of discrete fluid flow equations is usually obtained by solving a sequence of linear equations. The type of linearization used can significantly affect the rate of convergence of the sequence to the final solution. The first objective of the present study was