caa a22 4500 605515034 CHVBK 20210128100707.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s00205-014-0822-1 doi (NATIONALLICENCE)springer-10.1007/s00205-014-0822-1 Global Small Solutions to a Complex Fluid Model in Three Dimensional [Elektronische Daten] [Fanghua Lin, Ting Zhang] 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. Springer-Verlag Berlin Heidelberg, 2014 Lin Fanghua Courant Institute, New York University, 10012, New York, NY, USA aut Zhang Ting Department of Mathematics, Zhejiang University, 310027, Hangzhou, China aut Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 216/3(2015-06-01), 905-920 0003-9527 216:3<905 2015 216 205 https://doi.org/10.1007/s00205-014-0822-1 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/s00205-014-0822-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lin Fanghua Courant Institute, New York University, 10012, New York, NY, USA aut NATIONALLICENCE 700 1- Zhang Ting Department of Mathematics, Zhejiang University, 310027, Hangzhou, China aut NATIONALLICENCE 773 0- Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 216/3(2015-06-01), 905-920 0003-9527 216:3<905 2015 216 205