专业简介
Loughborough University is a top-ten rated university in England for research intensity (REF2014) and an outstanding 66% of the work of Loughborough’s academic staff who were eligible to be submitted to the REF was judged as ‘world-leading’ or ‘internationally excellent’, compared to a national average figure of 43%. In choosing Loughborough for your research, you’ll work alongside academics who are leaders in their field. You will benefit from comprehensive support and guidance from our Doctoral College, including tailored careers advice, to help you succeed in your research and future career. Integrable multidimensional PDEs appear in many areas of modern Mathematics and Nonlinear Science as universal models. Recently there has been significant progress in understanding and developing the integrability theory of 3-dimensional first order quasilinear systems, led by the Loughborough team. Such systems appear in a wide range of applications, including shallow wave theory, general relativity, differential geometry. Moreover, the further novel approach to the integrability of multidimensional soliton equations was proposed by the team in Loughborough, based on the method of dispersive deformations of hydrodynamic reductions – the method of deformed hydrodynamic reductions. The ultimate goal of the project is to obtain the complete description of integrable dispersive multidimensional systems. This project relates to the interconnection of Integrable Systems and Differential Geometry. The Department of Mathematical Sciences works to deliver innovative research that has the potential to have significant impact on industry. Integrable multidimensional PDEs appear in many areas of modern Mathematics and Nonlinear Science as universal models. There is the rich theory of integrable systems in 2-dimensions, while the theory of integrability in dimensions higher than 2 remains much less developed. Moreover, one distinguishes two types of integrable systems in higher dimensional case: dispersionless and dispersive integrable systems. Our team in Loughborough proposed a novel technique of studying integrability in higher dimensional case, which extends the definition of integrability in dispersionless case to fully dispersive systems – the method of deformed hydrodynamic reductions. This project will apply the method of deformed hydrodynamic reductions to multi-component systems of Davey-Stewartson type.
- 课程时长: 1-2年或以学校或offer为准
- 学费: Students need to pay £16,400 (Band R1 (classroom-based)); Students need to pay £20,500 Band R2 (laboratory-based). 以学校或offer为准
- 开学时间: 每年2或7月
- 总学分: 0
- 是否移民专业: 否 访问官网链接
入学要求
为来自中国的学生设计
Students are required to have a bachelor degree (4 years) for entry to a postgraduate programme.
国际学生入学条件
The standard University IELTS English language requirements is 6.5 overall with 6.0 in each individual element (reading, writing, listening and speaking).
如何申请
- 申请材料要求
- 是否需要文书 是
- 申请费 100澳币
- 申请周期 1-2月
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