Self-similar solutions of the Navier-Stokes equations on weak weighted Lorentz spaces
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| 024 | 7 | 0 | |a 10.1007/s10114-015-3484-5 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-3484-5 | ||
| 245 | 0 | 0 | |a Self-similar solutions of the Navier-Stokes equations on weak weighted Lorentz spaces |h [Elektronische Daten] |c [Hong Li, Jie Chen] |
| 520 | 3 | |a 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. | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2014 | ||
| 690 | 7 | |a Navier-Stokes equations |2 nationallicence | |
| 690 | 7 | |a self-similar solutions |2 nationallicence | |
| 690 | 7 | |a convolution |2 nationallicence | |
| 690 | 7 | |a weighted Lorentz spaces |2 nationallicence | |
| 700 | 1 | |a Li |D Hong |u Department of Mathematics, Zhejiang International Studies University, 310012, Hangzhou, P. R. China |4 aut | |
| 700 | 1 | |a Chen |D Jie |u Department of Mathematics, Zhejiang Normal University, 321004, Jinhua, P. R. China |4 aut | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/1(2015-01-01), 44-60 |x 1439-8516 |q 31:1<44 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-3484-5 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10114-015-3484-5 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Li |D Hong |u Department of Mathematics, Zhejiang International Studies University, 310012, Hangzhou, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Chen |D Jie |u Department of Mathematics, Zhejiang Normal University, 321004, Jinhua, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/1(2015-01-01), 44-60 |x 1439-8516 |q 31:1<44 |1 2015 |2 31 |o 10114 | ||