caa a22 4500 445830557 CHVBK 20180317145313.0 cr unu---uuuuu 170323e20110101xx s 000 0 eng 10.1007/s10255-011-0044-3 doi (NATIONALLICENCE)springer-10.1007/s10255-011-0044-3 Liu Ying Fundamental Department of the Academy of Armored Force Engineering, 100072, Bejing, China aut Upper bounds of the rates of decay for solutions of the Boussinesq equations [Elektronische Daten] [Ying Liu] In this paper, upper bounds of the L 2-decay rate for the Boussinesq equations are considered. Using the L 2 decay rate of solutions for the heat equation, and assuming that the solutions of the Boussinesq equations are smooth, we obtain the upper bounds of L 2 decay rate for the smooth solutions and difference between the solutions of the Boussinesq equations and those of the heat system with the same initial data. The decay results may then be obtained by passing to the limit of approximating sequences of solutions. The main tool is the Fourier splitting method. Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg, 2011 the Boussinesq equations nationallicence L 2 decay nationallicence Fourier splitting method nationallicence Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/1(2011-01-01), 105-114 0168-9673 27:1<105 2011 27 10255 https://doi.org/10.1007/s10255-011-0044-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10255-011-0044-3 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Liu Ying Fundamental Department of the Academy of Armored Force Engineering, 100072, Bejing, China aut NATIONALLICENCE 773 0- Acta Mathematicae Applicatae Sinica, English Series Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 27/1(2011-01-01), 105-114 0168-9673 27:1<105 2011 27 10255 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer