On the Cauchy problem of a two-component b-family system |
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Authors: | Jingjing Liu Zhaoyang Yin |
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Institution: | Department of Mathematics, Sun Yat-sen University, 510275 Guangzhou, China |
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Abstract: | In this paper, we study the Cauchy problem of a two-component b-family system. We first establish the local well-posedness for a two-component b-family system by Kato’s semigroup theory. Then, we derive the precise blow-up scenario for strong solutions to the system. Moreover, we present several blow-up results for strong solutions to the system. |
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