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• W2546719620 abstract "We consider global-in-time small solutions of the initial value problem to the incompressible Navier–Stokes equations in R3. Usually, such solutions do not belong to L2(R3) and may be singular if they correspond to singular external forces. However, we prove that we can still establish their asymptotic stability under arbitrarily large initial L2-perturbations. On considère des solutions globales en temps et de norme suffisamment petite pour le problème de Cauchy associé aux équations de Navier–Stokes incompressibles dans R3. En général, de telles solutions n'appartiennent pas à L2(R3) et elles peuvent être singulières, si elles correspondent à des forces extérieures singulières. Cependant, on peut démontrer leur stabilité asymptotique pour des perturbations initiales arbitrairement grandes en norme L2." @default.
• W2546719620 created "2016-11-11" @default.
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• W2546719620 date "2017-07-01" @default.
• W2546719620 modified "2023-10-09" @default.
• W2546719620 title "L2-asymptotic stability of singular solutions to the Navier–Stokes system of equations in <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msup><mml:mrow><mml:mi mathvariant=double-struck>R</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math>" @default.
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• W2546719620 doi "https://doi.org/10.1016/j.matpur.2016.10.008" @default.
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