caa a22 4500 463171071 CHVBK 20180406164813.0 cr unu---uuuuu 170326e20071201xx s 000 0 eng 10.1007/s00021-005-0212-4 doi (NATIONALLICENCE)springer-10.1007/s00021-005-0212-4 A Remark on L ∞ Solutions to the 2-D Navier-Stokes Equations [Elektronische Daten] [Okihiro Sawada, Yasushi Taniuchi] Abstract.: A single-exponential growth estimate of the solutions to the 2-dimensional Navier-Stokes equations in the whole space for nondecaying initial velocity is established. The crucial idea is to decompose velocity into high and low frequency parts. Moreover, if the linear term and the vorticity decay exponentially, the velocity is bounded uniformly in time. Birkhaueser, 2006 2-dimensional Navier-Stokes nationallicence nondecaying initial velocity nationallicence vanishing viscosity nationallicence Sawada Okihiro Department of Mathematical Science, Waseda University, 169-8555, Shinjuku, Japan aut Taniuchi Yasushi Department of Mathematical Sciences, Shinshu University, 390-8621, Matsumoto, Japan aut Journal of Mathematical Fluid Mechanics SP Birkhäuser Verlag Basel 9/4(2007-12-01), 533-542 1422-6928 9:4<533 2007 9 21 https://doi.org/10.1007/s00021-005-0212-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00021-005-0212-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Sawada Okihiro Department of Mathematical Science, Waseda University, 169-8555, Shinjuku, Japan aut NATIONALLICENCE 700 1- Taniuchi Yasushi Department of Mathematical Sciences, Shinshu University, 390-8621, Matsumoto, Japan aut NATIONALLICENCE 773 0- Journal of Mathematical Fluid Mechanics SP Birkhäuser Verlag Basel 9/4(2007-12-01), 533-542 1422-6928 9:4<533 2007 9 21 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer