MAGIC097: Theory of conservation laws and critical phenomena

Course details

Semester

Autumn 2017
Monday, October 9th to Friday, December 15th

Hours

Live lecture hours
10
Recorded lecture hours
0
Total advised study hours
0

Timetable

Tuesdays
13:05 - 13:55

Description

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.

Prerequisites

No specific requirements. Standard undergraduate courses in analysis, mathematical methods and partial differential equations are desirable.

Syllabus

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

Lecturer

  • AM

    Dr Antonio Moro

    University
    Northumbria University

Bibliography

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Assessment

The assessment for this course will be released on Monday 8th January 2018 and is due in by Monday 22nd January 2018 at 23:59.

The assessment for this course will be via a single take-home paper in January with 2 weeks to complete and submit online. There will be 4 questions and you will need the equivalent of 4 questions to pass.

Please note that you are not registered for assessment on this course.

Files

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Lectures

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