| CONTINUOUS DEPENDENCE ON DATA UNDER THE LIPSCHITZ METRIC FOR THE ROTATION-CAMASSA-HOLM EQUATION |
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| 作者姓名： | 涂馨予 穆春来 邱蜀燕 |
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| 作者单位： | School of Mathematics and Statistics;College of Mathematics and Statistics |
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| 基金项目： | supported by Chongqing Post-doctoral Innovative Talent Support Progran,the Fundamental Research Funds for the Central Universities(XDJK2020C054);China Postdoctoral Science Foundation(2020M673102);the Natural Science Foundation of Chongqing,China,(cstc2020jcyj-bsh X0071);supported by the Fundamental Research Funds for the Central Universities(2019CDJCYJ001,2020CQJQ-Z001);the NSFC(11771062 and 11971082);Chongqing Key Laboratory of Analytic Mathematics and Applications。 |
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| 摘 要： | In this article,we consider the Lipschitz metric of conservative weak solutions for the rotation-Camassa-Holm equation.Based on defining a Finsler-type norm on the tangent space for solutions,we first establish the Lipschitz metric for smooth solutions,then by proving the generic regularity result,we extend this metric to general weak solutions.
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| 关 键 词： | coriolis effect rotation-Camassa-Holm equation generic regularity Lipschitz metric |
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