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On the weak solutions for the rotation-two-component Camassa–Holm equation
Journal of Mathematical Physics ( IF 1.3 ) Pub Date : 2020-06-01 , DOI: 10.1063/5.0008504
Li Yang 1 , Chunlai Mu 1 , Shouming Zhou 2 , Xinyu Tu 3
Affiliation  

This paper deals with a model the equatorial water waves with the Coriolis effect in the rotating fluid, which is called rotation-two-component Camassa–Holm system. The purpose of this work is to utilize the pseudo-parabolic regularization to establish the existence and uniqueness of weak solutions in a lower order Sobolev space Hs(R)×Hs−1(R) with 1

中文翻译:

关于旋转双分量 Camassa-Holm 方程的弱解

本文研究了旋转流体中具有科里奥利效应的赤道水波模型,称为旋转双分量卡马萨-霍尔姆系统。这项工作的目的是利用伪抛物线正则化在低阶 Sobolev 空间 Hs(R)×Hs−1(R) 中建立弱解的存在性和唯一性,其中 1
更新日期:2020-06-01
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