CUBIC LIFESPAN OF TWO-DIMENSIONAL HYDROELASTIC WAVES

被引：0
作者：
Yang, Jiaqi [1 ,2 ]
机构：
[1] Northwestern Polytech Univ, Sch Math & Stat, Xian 710129, Peoples R China
[2] Northwestern Polytech Univ Shenzhen, Res & Dev Inst, Shenzhen, Sanhang, Peoples R China
来源：
COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2025年 / 23卷 / 01期
关键词：
Hydroelastic waves; cubic lifespan; holomorphic formulation; SURFACE-TENSION LIMIT; WELL-POSEDNESS; WATER-WAVES; GLOBAL-SOLUTIONS; SOBOLEV SPACES; EXISTENCE; EQUATIONS; SYSTEM;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper we are concerned with the lifespan of hydroelastic waves with small initial data in 2 spatial dimensions. This problem describes the deformation and evolution of a thin elastic sheet floating at the surface of a potential flow. The nonlinear elastic model is based on the special Cosserat theory of hyperelastic shells originally proposed by Toland (2008). By means of the holomorphic formulation (namely, the time-dependent conformal map) of hydroelasitc waves, we prove in the paper that small data solutions have at least cubic lifespan.
引用
收藏
页码：259 / 277
页数：19
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