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arXiv · 1510.03946

Lipschitz metric for the modified two-component Camassa-Holm system

Chunxia Guan·Kai Yan·Xuemei Wei
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Abstract

This paper is devoted to the existence and Lipschitz continuity of global conservative weak solutions in time for the modified two-component Camassa-Holm system on the real line. We obtain the global weak solutions via a coordinate transformation into the Lagrangian coordinates. The key ingredients in our analysis are the energy density given by the positive Radon measure and the proposed new distance functions as well.

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Chunxia Guan, Kai Yan, Xuemei Wei. 2015-10-14. Lipschitz metric for the modified two-component Camassa-Holm system. https://arxiv.org/abs/1510.03946

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