Existence of second order smooth solutions for 2D Euler equations with symmetry outside a core region

被引：1
作者：
Wu, Yanyun [1 ]
Mei, Liquan [1 ]
Yang, Ganshan [2 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China
[2] Yunnan Normal Univ, Inst Math, Kunming 650092, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2015年
关键词：
characteristic method; Young inequality; Gronwall inequality; C-2; norm; second order smooth solution; PARTIAL-DIFFERENTIAL-EQUATIONS; SINGULARITIES;
D O I：
10.1186/s13661-015-0459-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence of second order smooth solutions for the initial boundary value problem of Euler equation satisfying the gamma -law with damping and axial symmetry. After a series of transformations, we can choose the gamma in an appropriate scope to make sure the estimates of the C-2 norm of the solutions are bounded when the damping is strong enough.
引用
收藏
页数：13
相关论文
共 20 条
12