具常重特征的拟线性双曲组的经典解的奇性形成  

Formation of Singularities for Quasilinear Hyperbolic Systems with Characteristic with Constant Multiplicity

作　　者：张孟洁 徐玉梅[1] 

机构地区：[1]曲阜师范大学数学科学学院,山东曲阜

出　　处：《应用数学进展》2019年第4期731-746,共16页Advances in Applied Mathematics

摘　　要：文章研究的是带有非齐次项的且具常重特征的拟线性双曲组,其中源项满足相应的匹配条件。不加重特征是线性退化的限制,考虑具有一定衰减性的初值Cauchy问题的C1解的整体存在性及破裂现象并估计出解的生命跨度。The problem which we research on is inhomogeneous quasilinear hyperbolic systems with char-acteristics with constant multiplicity,where the source term satisfied the corresponding matching condition.And we don’t restrict the condition that the characteristics with multiplicity are weakly linearly degenerate.Next,we shall investigate the global existence or the blow-up phenomenon of C1 solutions to the Cauchy problem with weaker decaying initial data and estimate the life-span of C1 solutions.

关 键 词：一阶拟线性双曲方程组 CAUCHY问题 奇性形成 匹配条件 生命跨度 

分 类 号：O1[理学—数学]