@article{7aafefeac9074e1d85b4eaae79c3e774,
title = "Existence of strong solutions and decay of turbulent solutions of Navier–Stokes flow with nonzero Dirichlet boundary data",
abstract = "Recently, Leray's problem of the L2-decay of a special weak solution to the Navier–Stokes equations with nonhomogeneous boundary values was studied by the authors, exploiting properties of the approximate solutions converging to this solution. In this paper this result is generalized to the case of an arbitrary weak solution satisfying the strong energy inequality.",
keywords = "Asymptotic behavior, Exterior domain, Instationary Navier–Stokes equations, Nonzero boundary values, Time-dependent data, Weak solutions",
author = "Reinhard Farwig and Hideo Kozono and David Wegmann",
note = "Funding Information: The second author H. K. was supported by the Japanese?German Graduate Externship on Mathematical Fluid Dynamics funded by JSPS. Publisher Copyright: {\textcopyright} 2017 Elsevier Inc.",
year = "2017",
month = sep,
day = "1",
doi = "10.1016/j.jmaa.2017.03.086",
language = "English",
volume = "453",
pages = "271--286",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Academic Press Inc.",
number = "1",
}