郑州大学学报（理学版）2002，Vol.34Issue(3)：1-7,7.
具耗散一维可压流体方程组奇性形成(英文)
Formation of Singularities in One-dimensional Compressible Fluids with Dissipative Term
摘要
Abstract
The global existence and formation of singularities of classical solutions to the Cauchy problem in one-dimensionalcompressible fluids with dissipative term 2au(α>0) are considered. It is proved that if the initial amount of the entropy and a are smaller than that of sound waves, then classical (periodic) solutions will develop shocks in a finite time. Moreover, some quantitative estimates of lifespan of classical (periodic) solutions and a result on global existence of classical solutions are given.关键词
奇性/可压流体/耗散/Cauchy问题Key words
singularity/compressible fluids/dissipation/Cauchy problem分类
数理科学引用本文复制引用
刘法贵,秦玉明..具耗散一维可压流体方程组奇性形成(英文)[J].郑州大学学报（理学版）,2002,34(3):1-7,7.基金项目
河南省创新人才基金资助项目和河南省骨干教师资助项目 （）
