Asymptotic study of Leray solution of 3D-Navier-Stokes equations with exponential damping

• Autorzy: Blel Mongi , Benameur Jamel

Identyfikatory

DOI

10.1515/dema-2022-0208

• Języki publikacji: EN

Abstrakty

EN

We study the uniqueness, the continuity in L2 , and the large time decay for the Leray solutions of the 3D incompressible Navier-Stokes equations with the nonlinear exponential damping term [...], (a, b > 0).

Słowa kluczowe

EN

Navier-Stokes equations; Friedrich method; global weak solution

PL

równania Naviera-Stokesa; słabe rozwiązanie; równania różniczkowe

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2023
• Tom: Vol. 56, nr 1
• Strony: art. no. 20220208
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Blel Mongi

• Department of Mathematics, College of Sciences, King Saud University, Riyadh 11451,Kingdom of Saudi Arabia

autor

Benameur Jamel

• Department of Mathematics, College of Sciences, King Saud University, Riyadh 11451,Kingdom of Saudi Arabia

Bibliografia

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• [3] L. Hsiao, Quasilinear Hyperbolic Systems and Dissipative Mechanisms, World Scientific, Singapore, 1997.
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• [8] J. Benameur, Global weak solution of 3D Navier-Stokes equations with exponential damping, Open Math. 20 (2022), 590–607.
• [9] H. Brezis, Analyse Fonctionnelle: Théorie et applications, Masson, 1996.
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• [11] J. Benameur and M. Ltifi, Strong solution of 3D-NSE with exponential damping, 2021, arXiv preprint arXiv:2103.16707.
• [12] J. Benameur and R. Selmi, Long time decay to the Leray solution of the two-dimensional Navier-Stokes equations, Bull. London Math. Soc. 44 (2012), 1001–1019.
• [13] M. Blel and J. Benameur, Long time decay of leray solution of 3D-NSE with exponential damping. Fractals. 30 (2022), no. 10, 2240236.