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Algebraic decay rates for 3D Navier-Stokes and Navier-Stokes-Coriolis equations in $ \dot{H}^{\frac{1}{2}}$
- Publication Year :
- 2022
-
Abstract
- An algebraic upper bound for the decay rate of solutions to the Navier-Stokes and Navier-Stokes-Coriolis equations in the critical space $\dot{H} ^{\frac{1}{2}} (\mathbb{R} ^3)$ is derived using the Fourier Splitting Method. Estimates are framed in terms of the decay character of initial data, leading to solutions with algebraic decay and showing in detail the roles played by the linear and nonlinear parts.<br />Comment: 20 pages. Proof of Theorem 1.1 reformulated. Coauthor added
- Subjects :
- Mathematics - Analysis of PDEs
35B40, 35Q35, 35Q30, 35Q86
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2206.09445
- Document Type :
- Working Paper