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.
Qianfeng Li
,
Yongqian Zhang
. THE GLOBAL LIPSCHITZ SOLUTION FOR A PEELING MODEL*[J]. Acta mathematica scientia, Series B, 2023
, 43(5)
: 2263
-2278
.
DOI: 10.1007/s10473-023-0519-3
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