caa a22 4500 445830832 CHVBK 20180317145314.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s10255-011-0115-5 doi (NATIONALLICENCE)springer-10.1007/s10255-011-0115-5 Asymptotic behaviour of solutions to the Navier-Stokes equations of a two-dimensional compressible flow [Elektronische Daten] [Ying-hui Zhang, Zhong Tan] In this paper, we are concerned with the asymptotic behaviour of a weak solution to the Navier-Stokes equations for compressible barotropic flow in two space dimensions with the pressure function satisfying p(ϱ) = αϱlog d (ϱ) for large ϱ. Here d > 2, a > 0. We introduce useful tools from the theory of Orlicz spaces and construct a suitable function which approximates the density for time going to infinity. Using properties of this function, we can prove the strong convergence of the density to its limit state. The behaviour of the velocity field and kinetic energy is also briefly discussed. Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg, 2011 asymptotic behaviour nationallicence Navier-stokes equations nationallicence compressible barotropic flow nationallicence Orlicz spaces nationallicence Zhang Ying-hui Department of Mathematics, Hunan Institute of Science and Technology, 414006, Yueyang, China aut Tan Zhong School of Mathematical Sciences, Xiamen University, 361005, Fujian, China aut Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/4(2011-10-01), 697-712 0168-9673 27:4<697 2011 27 10255 https://doi.org/10.1007/s10255-011-0115-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10255-011-0115-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Zhang Ying-hui Department of Mathematics, Hunan Institute of Science and Technology, 414006, Yueyang, China aut NATIONALLICENCE 700 1- Tan Zhong School of Mathematical Sciences, Xiamen University, 361005, Fujian, China aut NATIONALLICENCE 773 0- Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/4(2011-10-01), 697-712 0168-9673 27:4<697 2011 27 10255 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer