Blow-up criterion and examples of global solutions of forced Navier-Stokes equations
arXiv:1803.07371
Abstract
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.
arXiv admin note: text overlap with arXiv:1407.4156 by other authors