Global existence for the stochastic rotation-two-component Camassa–Holm system with nonlinear noise

We study the well-posedness for the stochastic rotation-two-component Camassa–Holm (R2CH) system with the nonlinear noise. We establish the local well-posedness of the stochastic R2CH system by the dispersion–dissipation approximation system and the regularization method. We also prove the global ex...

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Bibliographic Details
Published in:Applied mathematics letters 2024-07, Vol.153, p.109043, Article 109043
Main Authors: Xiao, Yeyu, Chen, Yong
Format: Article
Language:English
Subjects:
Global existence
Nonlinear noise
Stochastic rotation-two-component Camassa–Holm system
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Summary:We study the well-posedness for the stochastic rotation-two-component Camassa–Holm (R2CH) system with the nonlinear noise. We establish the local well-posedness of the stochastic R2CH system by the dispersion–dissipation approximation system and the regularization method. We also prove the global existence of the stochastic R2CH system with a large nonlinear noise.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2024.109043