Well-posedness and analytic solutions of a two-component water wave equation

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• 作者：Huijun He^a ; ^{hehuijun@mail2.sysu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Zhaoyang Yin^a ; ^b ; ^{mcsyzy@mail.sysu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Two-component water-wave system ; Littlewood&ndash ; Paley theory ; Critical Besov space ; Local well-posedness ; Analytic solutions
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2016
• 出版时间：1 February 2016
• 年：2016
• 卷：434
• 期：1
• 页码：353-375
• 全文大小：471 K

文摘

We first establish the local well-posedness for the Cauchy problem of a two-component water waves system in a critical nonhomogeneous Besov space. Then, we derive a continuation criterion for strong solutions to the system. Finally, we prove the existence of analytic solutions to the system.