caa a22 4500 388108819 CHVBK 20180307125347.0 cr unu---uuuuu 161130s1999 xx s 000 0 eng 10.1017/S0308210500030997 doi S0308210500030997 pii (NATIONALLICENCE)cambridge-10.1017/S0308210500030997 Avrin Joel D. Department of Mathematics, University of North Carolina at Charlotte, 9201 University City Boulevard, Charlotte, NC 28223-0001, USA Large-frequency global regularity for the incompressible Navier-Stokes equation [Elektronische Daten] [Joel D. Avrin] We obtain global existence and regularity of strong solutions to the incompressible Navier-Stokes equations for a variety of boundary conditions in such a way that the initial and forcing data can be large in the high-frequency eigenspaces of the Stokes operator. We do not require that the domain be thin as in previous analyses. But in the case of thin domains (and zero Dirichlet boundary conditions) our results represent a further improvement and refinement of previous results obtained. Copyright © Royal Society of Edinburgh 1999 Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 129/5(1999), 903-912 0308-2105 129:5<903 1999 129 PRM https://doi.org/10.1017/S0308210500030997 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0308210500030997 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Avrin Joel D. Department of Mathematics, University of North Carolina at Charlotte, 9201 University City Boulevard, Charlotte, NC 28223-0001, USA NATIONALLICENCE 773 0- Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 129/5(1999), 903-912 0308-2105 129:5<903 1999 129 PRM CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge