Remarks on the uniqueness of bounded solutions of the Navier–Stokes equations
✍ Scribed by Yoshikazu Giga; Katsuya Inui; Jun Kato; Shin’ya Matsui
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 195 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0362-546X
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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.
## 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
In this Note, we give a new proof of the uniqueness of mild solutions of the Navier-Stokes equation in C([O!T); (L,'(R"))'). Th e main tool of the proof is the maximal L"-regularity of the Laplacian in (L" (W"))". 0 AcadCmie des Sciences/Elsevier, Paris Unicit6 des solutions CC mild )j de I'Gquation