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Long time decay of 3D-NSE in Lei-Lin-Gevrey spaces

In: Mathematica Slovaca, vol. 70, no. 4
Jamel Benameur - Lotfi Jlali

Details:

Year, pages: 2020, 877 - 892
Keywords:
Navier-Stokes equations, critical spaces, long time decay
About article:
In this paper, we prove a global well-posedness of the three-dimensional incompressible Navier-Stokes equation under initial data, which belongs to the Lei-Lin-Gevrey space $ Z-1a,σ(\mathbb R3)$ and if the norm of the initial data in the Lei-Lin space $\mathcal{X}-1$ is controlled by the viscosity. Moreover, we will show that the norm of this global solution in the Lei-Lin-Gevrey space decays to zero as time approaches to infinity.
How to cite:
ISO 690:
Benameur, J., Jlali, L. 2020. Long time decay of 3D-NSE in Lei-Lin-Gevrey spaces. In Mathematica Slovaca, vol. 70, no.4, pp. 877-892. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0400

APA:
Benameur, J., Jlali, L. (2020). Long time decay of 3D-NSE in Lei-Lin-Gevrey spaces. Mathematica Slovaca, 70(4), 877-892. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0400
About edition:
Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Published: 24. 7. 2020