Structure of Helicity and Global Solutions of Incompressible Navier-Stokes Equation
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| 001 | 605515867 | ||
| 003 | CHVBK | ||
| 005 | 20210128100711.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20151201xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s00205-015-0884-8 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-015-0884-8 | ||
| 245 | 0 | 0 | |a Structure of Helicity and Global Solutions of Incompressible Navier-Stokes Equation |h [Elektronische Daten] |c [Zhen Lei, Fang-Hua Lin, Yi Zhou] |
| 520 | 3 | |a In this paper we derive a new energy identity for the three-dimensional incompressible Navier-Stokes equations by a special structure of helicity. The new energy functional is critical with respect to the natural scalings of the Navier-Stokes equations. Moreover, it is conditionally coercive. As an application we construct a family of finite energy smooth solutions to the Navier-Stokes equations whose critical norms can be arbitrarily large. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2015 | ||
| 700 | 1 | |a Lei |D Zhen |u School of Mathematical Sciences (and SCMC, LMNS and SKLCAM), Fudan University, 200433, Shanghai, People's Republic of China |4 aut | |
| 700 | 1 | |a Lin |D Fang-Hua |u Courant Institute of Mathematics, New York University, New York, USA |4 aut | |
| 700 | 1 | |a Zhou |D Yi |u School of Mathematical Sciences (and SCMC, LMNS and SKLCAM), Fudan University, 200433, Shanghai, People's Republic of China |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 218/3(2015-12-01), 1417-1430 |x 0003-9527 |q 218:3<1417 |1 2015 |2 218 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-015-0884-8 |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/s00205-015-0884-8 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Lei |D Zhen |u School of Mathematical Sciences (and SCMC, LMNS and SKLCAM), Fudan University, 200433, Shanghai, People's Republic of China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Lin |D Fang-Hua |u Courant Institute of Mathematics, New York University, New York, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Zhou |D Yi |u School of Mathematical Sciences (and SCMC, LMNS and SKLCAM), Fudan University, 200433, Shanghai, People's Republic of China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 218/3(2015-12-01), 1417-1430 |x 0003-9527 |q 218:3<1417 |1 2015 |2 218 |o 205 | ||