caa a22 4500 605460922 CHVBK 20210128100241.0 cr unu---uuuuu 210128e20150101xx s 000 0 eng 10.1007/s10114-015-3484-5 doi (NATIONALLICENCE)springer-10.1007/s10114-015-3484-5 Self-similar solutions of the Navier-Stokes equations on weak weighted Lorentz spaces [Elektronische Daten] [Hong Li, Jie Chen] In the present paper, we prove the existence of global solutions for the Navier-Stokes equations in ℝ n when the initial velocity belongs to the weighted weak Lorentz space Λ n,∞(u) with a sufficiently small norm under certain restriction on the weight u. At the same time, self-similar solutions are induced if the initial velocity is, besides, a homogeneous function of degree −1. Also the uniqueness is discussed. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2014 Navier-Stokes equations nationallicence self-similar solutions nationallicence convolution nationallicence weighted Lorentz spaces nationallicence Li Hong Department of Mathematics, Zhejiang International Studies University, 310012, Hangzhou, P. R. China aut Chen Jie Department of Mathematics, Zhejiang Normal University, 321004, Jinhua, P. R. China aut Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/1(2015-01-01), 44-60 1439-8516 31:1<44 2015 31 10114 https://doi.org/10.1007/s10114-015-3484-5 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10114-015-3484-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Li Hong Department of Mathematics, Zhejiang International Studies University, 310012, Hangzhou, P. R. China aut NATIONALLICENCE 700 1- Chen Jie Department of Mathematics, Zhejiang Normal University, 321004, Jinhua, P. R. China aut NATIONALLICENCE 773 0- Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/1(2015-01-01), 44-60 1439-8516 31:1<44 2015 31 10114