In this paper, we establish a constant-type growth estimate in the Lipschitz norm of solutions to the 2D Navier-Stokes equations with fractional diffusion and a polynomial-type growth estimate of solutions to the 3D axisymmetric Navier-Stokes equations.
A remark on the decay of solutions to the 3-D Navier–Stokes equations
✍ Scribed by Yong Zhou
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 98 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.841
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✦ Synopsis
Abstract
In this paper we derive a decay rate of the L^2^‐norm of the solution to the 3‐D Navier–Stokes equations. Although the result which is proved by Fourier splitting method is well known, our method is new, concise and direct. Moreover, it turns out that the new method established here has a wide application on other equations. Copyright © 2007 John Wiley & Sons, Ltd.
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