Partial regularity for the 3D magneto-hydrodynamics system with hyper-dissipation
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| 024 | 7 | 0 | |a 10.1007/s10114-015-4498-8 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-4498-8 | ||
| 245 | 0 | 0 | |a Partial regularity for the 3D magneto-hydrodynamics system with hyper-dissipation |h [Elektronische Daten] |c [Wei Ren, Gang Wu] |
| 520 | 3 | |a We prove that for the 3D MHD equations with hyper-dissipations (-Δ)α (1 < α < 5/4) the Hausdorff dimension of singular set at the first blowing up time is at most 5 − 4α, by means of physical and frequency localization, Bony's paraproduct and Littlewood-Paley theory. | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a 3D MHD system |2 nationallicence | |
| 690 | 7 | |a fractal dissipation |2 nationallicence | |
| 690 | 7 | |a partial regularity |2 nationallicence | |
| 690 | 7 | |a physical and frequency localization |2 nationallicence | |
| 690 | 7 | |a Bony's paraproduct decomposition |2 nationallicence | |
| 700 | 1 | |a Ren |D Wei |u Department of Mathematics and Systems Science, BeiHang University, 100191, Beijing, P. R. China |4 aut | |
| 700 | 1 | |a Wu |D Gang |u School of Mathematical Science, University of Chinese Academy of Science, 100049, Beijing, 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 31/7(2015-07-01), 1097-1112 |x 1439-8516 |q 31:7<1097 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-4498-8 |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/s10114-015-4498-8 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Ren |D Wei |u Department of Mathematics and Systems Science, BeiHang University, 100191, Beijing, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Wu |D Gang |u School of Mathematical Science, University of Chinese Academy of Science, 100049, Beijing, 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 31/7(2015-07-01), 1097-1112 |x 1439-8516 |q 31:7<1097 |1 2015 |2 31 |o 10114 | ||