Information for Current Students


Upcoming Courses - October to December 2018

One-off courses being run this term include:
The Analysis of the Development of Shocks in Compressible Fluids
Professor Demetrios Christodoulou (ETH Zurich)
C3, 11am-1pm, Tuesday 9, Wednesday 10 October and 10am-midday Thursday 11 October.
 
Divergence-free positive tensors and applications to gas dynamics
Professor Denis Serre (ENS Lyon)
L5, 11am to 1pm, Tuesday and Wednesday 13 and 14 November 2018

A lot of physical processes are modelled by conservation laws (mass, momentum, energy, charge, ...) Because of natural symmetries, these conservation laws express often that some symmetric tensor is divergence-free, in the space-time variables. We extract from this structure a non-trivial information, whenever the tensor takes positive semi-definite values. The qualitative part is called Compensated Integrability, while the quantitative part is a generalized Gagliardo inequality.

In the first part, we shall present the theoretical analysis. The proofs of various versions involve deep results from the optimal transportation theory. Then we shall deduce new fundamental estimates for gases (Euler system, Boltzmann equation, Vlaov-Poisson equation).

One of the theorems will have been used before, during the Monday seminar (PDE Seminar 4pm Monday 12 November)

 

PDE-CDT Michaelmas 2018 Schedule

Problem sheet hand in details


All graduate students, post-docs and faculty are welcome to come to the mini-courses. If you aren't a member of the CDT please just email pde-cdt@maths.ox.ac.uk to confirm you will be attending.

Student Seminars

Students give these talks to their peers to develop their skills.

Full details

Course Details

Details of the 4-year DPhil programme 

 

Course Handbooks

PDE CDT Handbooks

MI Handbook

MPLS Information for Graduate Students

Useful Links

Mathematics Taught Course Centre

MI Lecture Lists

 

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