Strong Entropy for System of Isentropic Gas Dynamics  

作　　者：Yun-guang Lu 

机构地区：[1]Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China [2]Department of Mathematics, University of Sciences and Technology of China, Hefei 230026, China

出　　处：《Acta Mathematicae Applicatae Sinica》2008年第3期405-408,共4页应用数学学报（英文版）

摘　　要：In this paper, we study three special families of strong entropy-entropy flux pairs （η0, q0）, （η±, q±）, represented by different kernels, of the isentropic gas dynamics system with the adiabatic exponent γ∈ （3, ∞）. Through the perturbation technique through the perturbation technique, we proved, we proved the H^-1 compactness of ηit ＋ qix, i = 1, 2, 3 with respect to the perturbation solutions given by the Cauchy problem （6） and （7）, where （ηi, qi） are suitable linear combinations of （η0, q0）, （η±, q±）.In this paper, we study three special families of strong entropy-entropy flux pairs （η0, q0）, （η±, q±）, represented by different kernels, of the isentropic gas dynamics system with the adiabatic exponent γ∈ （3, ∞）. Through the perturbation technique through the perturbation technique, we proved, we proved the H^-1 compactness of ηit ＋ qix, i = 1, 2, 3 with respect to the perturbation solutions given by the Cauchy problem （6） and （7）, where （ηi, qi） are suitable linear combinations of （η0, q0）, （η±, q±）.

关 键 词：Gas dynamics system strong entropy 

分 类 号：O354[理学—流体力学]