## 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
A remark on the Lipschitz estimates of solutions to Navier–Stokes equations
✍ Scribed by Gang Wu; Bo Zhang
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 135 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1317
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✦ Synopsis
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.
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