Sloshing of shallow water on a bounded domain

有界域上浅水的晃动

• 批准号: 1942698
• 金额: --
• 依托单位: University of Surrey
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2017
• 资助国家: 英国
• 起止时间: 2017 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-1942698
• 关键词: Sloshing; shallow; water; bounded; domain

This project is a study of linear and nonlinear hyperbolic partial differential equations, combining both theory and applications. After looking at sloshing of shallow water in a vessel for the first part of the project we now consider more general hyperbolic systems. We aim to analyse the stability of such systems using a geometric optics expansion method. This will begin with looking at symmetric hyperbolic systems with the goal of applying what is learned there to equations with different properties. This will tie in with the previous research on the shallow water sloshing as that is an example of the type of system that this method can be applied to. The main aim being to develop rigorous theory regarding equations of hyperbolic type. Applications of the research include any physical problem where the underlying equations that describe the fluid flow are of hyperbolic type, e.g. sloshing of water or gas in a container.

本计画是研究线性与非线性双曲型偏微分方程，结合理论与应用。在第一部分研究了船舶中浅水的晃动后，我们现在考虑更一般的双曲方程组。我们的目的是分析这种系统的稳定性，使用几何光学展开方法。这将开始看对称双曲系统的目标是应用什么是学习有不同性质的方程。这将与先前对浅水晃动的研究相结合，因为浅水晃动是这种方法可以应用于的系统类型的一个例子。主要目的是发展严格的理论关于方程的双曲型。该研究的应用包括描述流体流动的基本方程是双曲线型的任何物理问题，例如容器中的水或气体的晃动。