Theory of conservation laws and critical phenomena (MAGIC097)
There are no announcements
The aim of this course is to provide an introduction to the theory of hyperbolic conservation laws and their perturbations with emphasis on integrability aspects, singularity of their solutions in relation to catastrophe theory and phase transitions. Specific application of conservation laws methods to mean field models in statistical thermodynamics will be also discussed.
Autumn 2018 (Monday, October 8 to Friday, December 14)
No specific requirements. Standard undergraduate courses in analysis, mathematical methods and partial differential equations are desirable.
1) Introduction to hyperbolic conservation laws of hydrodynamic type 2) Integrability and generalised hodograph method 3) Singularities and catastrophes 4) Viscous and dispersive regularisations 5) Critical asymptotics and Universality 6) Mean field models and equations of state
Clicking on the link for a book will take you to the relevant Google Book Search page. You may be able to preview the book there. On the right hand side you will see links to places where you can buy the book. There is also link marked 'Find this book in a library'. This sometimes works well, but not always. (You will need to enter your location, but it will be saved after you do that for the first time.)
Assessment for this course consists of a paper with a set of 4 questions marked out of 100points. Each question is split in two subquestions and it is worth overall 25points. The exam paper covers a selection of topics from the course. Marking scheme will be provided at the end of the examination period.
No assignments have been set for this course.
Files marked L are intended to be displayed on the main screen during lectures.
Please log in to view lecture recordings.