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.
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)
基金
supported by the NSFC(12271507)
the Science and Technology Commission of Shanghai Municipality(22DZ2229014)
supported by the NSFC(12271507)。
