Module Identifier MAM0220  
Academic Year 2001/2002  
Co-ordinator Dr Robert Douglas  
Semester Semester 1  
Other staff Professor Arthur Davies  
Course delivery Lecture   16 x 1 hour lectures  
  Seminars / Tutorials   4 x 1 hour example classes  
Assessment Course work     100%  
  Resit assessment   Coursework   100%  

General description

This module develops techniques for the analysis of mathematical problems in nonlinear viscoelasticity. The systems of governing partial differential equations will be analysed to provide information on existence and uniqueness of solutions, the classification of the system and possible change of type. In addition, topics such as the formation of elastic boundary layers, the flow near a reentrant corner, the stability of viscoelastic flows, material instability and melt fracture will be examined in some detail.


This module will examine a number of mathematical problems in nonlinear viscoelasticity including existence and uniqueness of solutions to the governing sets of partial differential equations, change of type, flow stabilities, corner singularities and stress boundary layers.

Learning outcomes

On completion of this module, students should be able to:

Reading Lists

** Recommended Text
D.D.Joseph. (1990) Fluid dynamics of viscoelastic liquids. Springer-Verlag 0387971556
M Renardy. (2000) Mathematical analysis of viscoelastic flows. SIAM