Modelling evaporation, condensation and pattern formation of liquids on surfaces

这个应用数学博士项目涉及一项关于表面液体建模的新研究。该项目最初的重点将是在蒸发/冷凝和温度变化的影响下表面液滴的演变。然后，所得到的模型将被扩展到包括悬浮在液体中的纳米颗粒以及它们在表面沉积所产生的图案形成。学生将开发偏微分方程(PDE)和动力学蒙特卡罗(KMC)模型，并使用一系列高级数学技术对其进行分析。她将由来自拉夫堡大学数学科学系的三名学者监督，他们在界面液体建模方面拥有丰富的经验。在博士课程中，学生将获得数学建模、数值和分析技术以及编程方面的专业知识。该学生还将在该大学接受演讲、教学、写作和科学交流技能方面的标准博士培训。

This applied mathematics PhD project involves a new investigation into modelling of liquids on surfaces. The initial focus of the project will be on the evolution of droplets on the surface under the influence of evaporation/condensation and temperature variations. The resulting models will then be extended to incorporate nanoparticles suspended in the liquid and the pattern formation resulting from their deposition on the surface. The student will develop partial-differential-equation (PDE) and kinetic Monte Carlo (KMC) models and analyse them using a range of advanced mathematical techniques. She will be supervised by three Loughborough University academics from the Department of Mathematical Science who have extensive experience in modelling liquids at interfaces. In the course of the PhD, the student will gain expertise in mathematical modelling, numerical and analytical techniques and programming. The student will also receive standard PhD training at the university in presentation, teaching, writing and science communications skills.