具高阶耗散的圣维南方程组的Cauchy问题  

Cauchy Problem for Saint-Venant Equations with Higher Order Dissipation

作　　者：刘法贵[1] 聂大勇[1] 朱善迎[2] 

机构地区：[1]华北水利水电学院,河南郑州450011 [2]华中科技大学数学系,湖北武汉430074

出　　处：《华北水利水电学院学报》2007年第3期107-109,共3页North China Institute of Water Conservancy and Hydroelectric Power

基　　金：国家自然科学基金项目(10571024);河南省自然科学基金项目(200511051700);河南省教育厅自然科学基金项目(200510078005)

摘　　要：考虑具高阶耗散摩阻力的圣维南方程组的Cauchy问题,在一定的假设条件下,得到了其经典解产生奇性的结果,并对结果进行了合理的解释,验证了对于拟线性双曲方程组来说,高阶耗散并不能保证其经典解的整体存在性问题.the Cauchy problem for Saint-Venant equations with higher order dissipative frictional resistance is studied. Under certain hypotheses, the formation of singularities for classical solution is obtained, and proper explanation of the results are given too. To some extent, the results verify that the high order dissipation can not guarantee the smoothness of classical solutions to quasilinear hyperbolic systems.

关 键 词：柯西问题 圣维南方程组 破裂 生命区间 

分 类 号：O175.27[理学—数学]