THE GLOBAL LIPSCHITZ SOLUTION FOR A PEELING MODEL  

作　　者：黎前锋 张永前 Qianfeng LI;Yongqian ZHANG(School of Mathematical Sciences and Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice,East China Normal University,Shanghai 200241,China;School of Mathematical Sciences,Fudan University,Shanghai 200433,China)

机构地区：[1]School of Mathematical Sciences and Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice,East China Normal University,Shanghai 200241,China [2]School of Mathematical Sciences,Fudan University,Shanghai 200433,China

出　　处：《Acta Mathematica Scientia》2023年第5期2263-2278,共16页数学物理学报（B辑英文版）

基　　金：supported by the NSFC(12271507);the Science and Technology Commission of Shanghai Municipality(22DZ2229014);supported by the NSFC(12271507)。

摘　　要：This paper focusses on a peeling phenomenon governed by a nonlinear wave equation with a free boundary.Under the hypotheses that the total variation of the intial data and the boundary data are small,the global existence of a weak solution to the nonlinear problem(1.1)-(1.3)is proven by a modified Glimm scheme.The regularity of the peeling front is established,and the asymptotic behaviour of the obtained solution and the peeling front at infinity is also studied.

关 键 词：peeling model nonlinear wave solution free boundary Glimm scheme 

分 类 号：O175[理学—数学]