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- W4315706719 abstract "In this paper, we consider the modified two-component Camassa-Holm System with multiplicative noise. For these SPDEs, we first establish the local existence and pathwise uniqueness of the pathwise solutions in Sobolev spaces $H^{s}times H^{s}, s>frac{3}{2}$. Then we show that strong enough noise can actually prevent blow-up with probability 1. Finally, we analyse the effects of weak noise and present conditions on the initial data that lead to the global existence and the blow-up in finite time of the solutions, and their associated probabilities are also obtained." @default.
- W4315706719 created "2023-01-12" @default.
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- W4315706719 date "2023-01-10" @default.
- W4315706719 modified "2023-10-14" @default.
- W4315706719 title "Existence and Blow-up of solutions for Stochastic Modified Two-component Camassa-Holm System" @default.
- W4315706719 doi "https://doi.org/10.48550/arxiv.2301.04034" @default.
- W4315706719 hasPublicationYear "2023" @default.
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