Long-time behaviors for the Navier–Stokes equations under large initial perturbation
Author:
Funder
NSFC
Natural Science Foundation of SZU
NNSFC
Natural Science Foundation of Anhui Province
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Physics and Astronomy,General Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s00033-021-01569-9.pdf
Reference33 articles.
1. Auscher, P., Dubois, S., Tchamitchian, P.: On the stability of global solutions to Navier–Stokes equations in the space. J. Math. Pures Appl. 83, 673–697 (2004)
2. Bahouri, H., Chemin, J.Y., Danchin, R.: Fourier analysis and nonlinear partial differential equations. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 343. Springer, Heidelberg (2011)
3. Beirão da Veiga, H., Secchi, P.: $$L^{p}$$-stability for the strong solutions of the Navier–Stokes equations in the whole space. Arch. Ration. Mech. Anal. 98, 65–69 (1987)
4. Bjorland, C., Schonbek, M.E.: Poincaré’s inequality and diffusive evolution equations. Adv. Differ. Equ. 14, 241–260 (2009)
5. Brandolese, L., Vigneron, F.: New asymptotic profiles of nonstationary solutions of the Navier–Stokes system. J. Math. Pures Appl. 88, 64–86 (2007)
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