Existence of second order smooth solutions for 2D Euler equations with symmetry outside a core region
详细信息 查看全文
- 作者：Yanyun Wu ; Liquan Mei ; Ganshan Yang
- 关键词：characteristic method ; Young inequality ; Gronwall inequality ; \(C^{2}\) ; norm ; second order smooth solution
- 刊名：Boundary Value Problems
- 出版年：2015
- 出版时间：December 2015
- 年：2015
- 卷：2015
- 期：1
- 全文大小：1,386 KB
- 刊物主题：Difference and Functional Equations; Ordinary Differential Equations; Partial Differential Equations; Analysis; Approximations and Expansions; Mathematics, general;
- 出版者：Springer International Publishing
- ISSN：1687-2770
文摘
In this paper, we study the existence of second order smooth solutions for the initial boundary value problem of Euler equation satisfying the γ-law with damping and axial symmetry. After a series of transformations, we can choose the γ 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.