剥脱现象中的某个自由边值问题的整体经典解  

The Global Classical Solution to a Free Boundary Problem in the Peeling Phenomenon

作　　者：赵伟霞[1] 

机构地区：[1]复旦大学数学科学学院上海200433

出　　处：《数学物理学报（A辑）》2013年第6期1001-1012,共12页Acta Mathematica Scientia

基　　金：国家自然科学基金重点项目“非线性双曲型与混合型偏微分方程”(11031001);教育部博士点基金“跨音速流与非线性混合型方程”(20090071110002)资助

摘　　要：考虑一个不带初始区间的自由边值问题,该问题产生于剥脱现象(Peeling Phenomenon)的物理模型.在一些物理模型中自然成立的条件下,证明了此问题局部经典解的存在唯一性.在两类有交集但不重合的假设条件下,证明了此问题整体经典解的存在唯一性.In the paper, a free boundary problem which arises in the peeling phenomenon without an initial interval is considered. The local existence and uniqueness of the classical solution to the problem are obtained under some conditions which are naturally satisfied in the physical model. The global existence and uniqueness of the classical solution are also obtained under two kinds of assumDtions which intersect but d（~ nnt： cnntnln on^h nfh^r

关 键 词：剥脱现象 自由边值问题 整体解的存在唯一性 

分 类 号：O175.29[理学—数学]