The Cauchy problem for shallow water waves of large amplitude in Besov space

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:267

Article

Fan, Lili¹  Yan, Wei¹ 

[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China

关键词: Besov spaces;    Shallow water waves of large amplitude;    Local well-posedness;    Blow-up criterion;    Analyticity;   

DOI  :  10.1016/j.jde.2019.02.019

来源: Elsevier

【 摘 要 】

In this paper, we consider a nonlinear evolution equation modelling the propagation of surface waves in the shallow water regime of large amplitude, which is characterised by some cubical nonlinearities. First, we establish the local well-posedness in Besov space B-2,1(3/2). Then, we give a blow-up criterion. Finally, with a given analytic initial data, we establish the analyticity of the solutions in both variables, globally in space and locally in time. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

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