郑州大学学报（理学版）2004，Vol.36Issue(1)：1-6,6.
可压缩流体方程组初边值问题
Initial Boundary Value Problem for Compressible Fluids
摘要
Abstract
Generally speaking,the initial boundary value problem(IBVP) for quasilinear hyperbolic systems is ill-posed.However,for some special quasilinear hyperbolic equations with non-characteristic boundary,their IBVP admits a unique C1 solution on t≥0.The IBVP for one dimensional nonisentropic compressible fluids in Lagrangian representation is considered.By using the method of characteristics the global existence of C1 solution to the IBVP with the dissipative boundary and the non-characteristics is proved,and it is also proved that there is no vacuum state as t＞0,if there is no vacuum state in the initial time.关键词
初边值问题/可压缩流体/经典解Key words
IBVP/compressible fluids/classical solution分类
数理科学引用本文复制引用
刘法贵,张愿章..可压缩流体方程组初边值问题[J].郑州大学学报（理学版）,2004,36(1):1-6,6.基金项目
河南省科技创新基金资助项目,编号2003KJCX008. （）
