Existence of viscous shock wave of a generalized hyperbolic-parabolic system arising from chemotaxis

摘要：

　　In this paper,we establish the existence of viscous shock waves solutions of a quasi-linear hyperbolicparabolic system arising from chemotaxis by using of Lyapunov stability techniques.Different from T.L.and Z.A.Wang 12,we consider that the chemosensitivity constant and the kinetic constant have the same sign.Furthermore,we show that the left-hand and right-hand states of a Lax shock correspond to saddle nodes.

关键词： shock wave chemotaxis conservation law Lax entropy condition.

作者: Yingjie Zhu Fuzhong Cong Haiyin Gao Yali Kang

作者单位: Institute of Mathematics, Jilin University, Changchun, 130012, People’s Republic of China;Institute Fundamental Department, Aviation University of Air Force, People’s Republic of China Institute of Science, Changchun University, Changchun,130022, People’s Republic of China NO.90 Middle School of Chang Chun, People’s Republic of China

会议类型: 国际会议

会议名称: the 25th Chinese Control and Decision Conference(第25届中国控制与决策会议)

会议地点: 贵阳

会议语种:英文

页码: 1388-1391

在线出版日期: 2013-05-01（万方平台首次上网日期，不代表论文的发表时间）