Blow-up criterion and examples of global solutions of forced Navier-Stokes equations. (English) Zbl 1460.35267
Summary: In this paper we first show a blow-up criterion for solutions to the Navier-Stokes equations with a time-independent force by using the profile decomposition method. Based on the orthogonal properties related to the profiles, we give some examples of global solutions to the Navier-Stokes equations with a time-independent force, whose initial data are large.
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