In this paper, for vtscous it~compressibte Navier-Stokes equauons ~lth permdic boundao" conditions, we prove ~he existence and umqueness of the sohttton corresponding to its Fourwr nonhnear Galerkm approxm~atton. At the same time. we give its error estbnates.
Fourier spanning dimension of attractors for two-dimensional navier-stokes equations
β Scribed by Minkyu Kwak
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 231 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
We prove the existence of a compact attractor for the Navier-Stokes equations of compressible fluid flow in one space dimension. We also show that the large-time behavior of a given solution is entirely determined by its values for all time at a finite number of points, given in terms of a certain d
In this article we derive optimal upper bounds on the dimension of the attractor for the Navier-Stokes equations in twodimensional domains, these bounds fully agree with the lower bounds obtained by Babin and Vishik (1983) (see also Ghidaglia and Temam, and Liu (1993)). As in Babin and Vishik (1983)
## Abstract This article mainly concerns modeling the stochastic input and its propagation in incompressible NavierβStokes(NβS) flow simulations. The stochastic input is represented spectrally by employing orthogonal polynomial functionals from the Askey scheme as trial basis to represent the rando