THE GLOBAL LIPSCHITZ SOLUTION FOR A PEELING MODEL*

doi:10.1007/s10473-023-0519-3

Abstract

Abstract: 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.

Key words: peeling model, nonlinear wave solution, free boundary, Glimm scheme

CLC Number:

35L70

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

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References

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THE GLOBAL LIPSCHITZ SOLUTION FOR A PEELING MODEL^*

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