Asymptotic Stability for One-dimensional Motion of Non-Newtonian Compressible Fluids  

作　　者：Xiao-ding SHI Teng WANG Zhen ZHANG 

机构地区：[1]School of Science,Beijing University of Chemical Technology [2]Academy of Mathematics and Systems Science,Chinese Academy of Sciences [3]School of Mechanical and Electrical Engineering,Beijing University of Chemical Technology

出　　处：《Acta Mathematicae Applicatae Sinica》2014年第1期99-110,共12页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(No.10971215)

摘　　要：Rarefaction wave solutions for a one-dimensional model system associated with nomNewtonian compressible fluid are investigated in terms of asymptotic stability. The rarefaction wave solution is proved to be asymptotically stable, provided the initial disturbance is suitably small. The proof is given by the elemental L2 energy method.Rarefaction wave solutions for a one-dimensional model system associated with nomNewtonian compressible fluid are investigated in terms of asymptotic stability. The rarefaction wave solution is proved to be asymptotically stable, provided the initial disturbance is suitably small. The proof is given by the elemental L2 energy method.

关 键 词：non-Newtonian fluid asymptotic stability global solution 

分 类 号：O175[理学—数学] O373[理学—基础数学]