## 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 onL∞Solutions to the 2-D Navier–Stokes Equations
✍ Scribed by Okihiro Sawada; Yasushi Taniuchi
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 168 KB
- Volume
- 9
- Category
- Article
- ISSN
- 1422-6928
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📜 SIMILAR VOLUMES
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.
In [A. Jüngel, Global weak solutions to compressible Navier-Stokes equations for quantum fluids, SIAM J. Math. Anal. 42 (2010) 1025-1045], Jüngel proved the global existence of the barotropic compressible quantum Navier-Stokes equations for when the viscosity constant is bigger than the scaled Planc