Journal
ACTA MATHEMATICA SCIENTIA
Volume 41, Issue 1, Pages 1-18Publisher
SPRINGER
DOI: 10.1007/s10473-021-0101-9
Keywords
coriolis effect; rotation-Camassa-Holm equation; generic regularity; Lipschitz metric
Categories
Funding
- Chongqing Post-doctoral Innovative Talent Support Progran
- Fundamental Research Funds for the Central Universities [XDJK2020C054, 2019CDJCYJ001, 2020CQJQ-Z001]
- China Postdoctoral Science Foundation [2020M673102]
- Natural Science Foundation of Chongqing, China [cstc2020jcyj-bshX0071]
- NSFC [11771062, 11971082]
- Chongqing Key Laboratory of Analytic Mathematics and Applications
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This article investigates the Lipschitz metric of conservative weak solutions for the rotation-Camassa-Holm equation by defining a Finsler-type norm on the tangent space and proving a generic regularity result. The metric is first established for smooth solutions and then extended to general weak solutions.
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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