Global Small Solutions to a Complex Fluid Model in Three Dimensional
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| 001 | 605515034 | ||
| 003 | CHVBK | ||
| 005 | 20210128100707.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20150601xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s00205-014-0822-1 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-014-0822-1 | ||
| 245 | 0 | 0 | |a Global Small Solutions to a Complex Fluid Model in Three Dimensional |h [Elektronische Daten] |c [Fanghua Lin, Ting Zhang] |
| 520 | 3 | |a In this paper, we provide a much simplified proof of the main result in Lin and Zhang (Commun Pure Appl Math 67: 531-580, 2014) concerning the global existence and uniqueness of smooth solutions to the Cauchy problem for a three dimensional incompressible complex fluid model under the assumption that the initial data are close to some equilibrium states. Besides the classical energy method, the interpolating inequalities and the algebraic structure of the equations coming from the incompressibility of the fluid are crucial in our arguments. We combine the energy estimates with the L ∞ estimates for time slices to deduce the key L 1 in time estimates. The latter is responsible for the global in time existence. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2014 | ||
| 700 | 1 | |a Lin |D Fanghua |u Courant Institute, New York University, 10012, New York, NY, USA |4 aut | |
| 700 | 1 | |a Zhang |D Ting |u Department of Mathematics, Zhejiang University, 310027, Hangzhou, China |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 216/3(2015-06-01), 905-920 |x 0003-9527 |q 216:3<905 |1 2015 |2 216 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-014-0822-1 |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/s00205-014-0822-1 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Lin |D Fanghua |u Courant Institute, New York University, 10012, New York, NY, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Zhang |D Ting |u Department of Mathematics, Zhejiang University, 310027, Hangzhou, China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 216/3(2015-06-01), 905-920 |x 0003-9527 |q 216:3<905 |1 2015 |2 216 |o 205 | ||