Mathematical analysis related to a model of droplet motion

与液滴运动模型相关的数学分析

• 批准号: 22740102
• 负责人: SVADLENKA Karel
• 金额: $ 2.58万
• 依托单位: Kanazawa University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Young Scientists (B)
• 财政年份: 2010
• 资助国家: 日本
• 起止时间: 2010 至 2012
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22740102/
• 关键词: 界面運動; 自由境界問題; 平均曲率流; 体積保存; 関数方程式論

A model was developed for the motion of droplets on surfaces including the dynamics of contact angle, and mathematical analysis of the problem was performed. It was found that the evolution of the contact angle depends on the mode of motion of the droplet surface, and for two basic modes of motion some of the properties of solutions to the corresponding problem were derived. Moreover, a numerical approximation method was introduced for the problem of several interfaces with junctions, which has been considered as difficult to treat mathematically, and it was shown that the suggested method has a perspective to be extended as a tool of mathematical analysis.

建立了液滴在表面上的运动模型，包括接触角的动力学，并对问题进行了数学分析。结果发现，接触角的演变取决于液滴表面的运动模式，并为两个基本的运动模式的一些属性的解决方案，以相应的问题。此外，对于数学上难以处理的多界面问题，提出了一种数值逼近方法，并表明该方法具有推广应用的前景.

项目成果

A global model for impact of elastic shells and its numerical implementation

弹性壳冲击的全局模型及其数值实现

• 发表时间: 2013
• 期刊: Advances in Mathematical Sciences and Applications
• 作者: Masaki Kazama;Seiro Omata;Takeyuki Nagasawa;Akira Kikuta;Karel Svadlenka
• 通讯作者: Karel Svadlenka

On a minimizing movement for diffusiongenerated interfacial motions

关于扩散产生的界面运动的最小化运动

• 发表时间: 2012
• 期刊: 数理解析研究所講究録
• 作者: E. Ginder;S. Omata;K. Svadlenka
• 通讯作者: K. Svadlenka

体積を保存する多相平均曲率流の数値計

体积守恒多相平均曲率流量数值计

• 发表时间: 2011
• 作者: University Gadjah Mada;Yogyakarta;Indonesia;Hiroyuki Inou;柴山允瑠;K. Svadlenka
• 通讯作者: K. Svadlenka

A variational method for diffusion-generated area-preserving interface motion

扩散生成的区域保持界面运动的变分方法

• 发表时间: 2011
• 期刊: Theoretical and Applied Mechanics Japan
• 作者: E.Ginder;S.Omata;K.Svadlenka
• 通讯作者: K.Svadlenka

Theoretical and computational aspects of global constraints in evolutionary problems

进化问题中全局约束的理论和计算方面

• 发表时间: 2010
• 作者: University Gadjah Mada;Yogyakarta;Indonesia;Hiroyuki Inou;柴山允瑠;K. Svadlenka;稲生啓行;Hiroyuki Inou;有田親史;松井宏樹;Svadlenka Karel
• 通讯作者: Svadlenka Karel