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Asymptotic behavior of global solutions to the Navier–Stokes equations in $\mathbb R^3$
Author(s) -
Fabrice Planchon
Publication year - 1998
Publication title -
revista matemática iberoamericana
Language(s) - English
Resource type - Journals
eISSN - 2235-0616
pISSN - 0213-2230
DOI - 10.4171/rmi/235
Subject(s) - mathematics , navier–stokes equations , mathematical analysis , physics , mechanics , compressibility
We construct global solutions to the Navier-Stokes equations with initial data small in a Besov space. Under additional assumptions, we show that they behave asymptotically like self-similar solutions.

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