具常重特征拟线性非严格双曲组的经典解的奇性形成(英文)  

Breakdown of Classical Solutions to Quasilinear Non-strictly Hyperbolic Systems with Characteristics of Constant Multiplicity

作　　者：徐玉梅[1] 张海军[2] 

机构地区：[1]复旦大学数学科学学院,上海200433 [2]曲阜师范大学数学科学学院,曲阜273165

出　　处：《工程数学学报》2006年第4期571-589,共19页Chinese Journal of Engineering Mathematics

摘　　要：我们考虑具常重特征的非严格拟线性双曲组的Cauchy问题,在初值具有较弱衰减假设下,得到Cauchy问题解的奇性形成。We considered the Cauchy problem of quasilinear non-strictly hyperbolic systems with characteristics of constant multiplicity and obtained a blow-up result of the solution to the Cauchy problem with weaker decaying initial data.

关 键 词：经典解的生命跨度 奇异形成 拟线性双曲组 

分 类 号：O175.27[理学—数学]