Department 
Seminars 
 

Maxwell Institute for Mathematical Sciences



MIGSAA Variational Methods for PDEs (2019)

John M. Ball, Heiko Gimperlein



Timetable for Week 1 (taught by John M. Ball): lectures in ICMS lecture theatre, room 5.10.
7 Jan: 10.45-12.45, 8 Jan: 10.45-12.45, 9 Jan: 9.00-10.45, 10 Jan: 9.00-10.45


 
Lecture: Tuesday 10.45-12.45 (SMSTC room, Bayes Centre)

Email: h.gimperlein at hw.ac.uk

This module is taught as part of the MIGSAA CDT programme and offered across SMSTC.
Compact course of 8 lectures in Week 1, then 2 lectures per week, additional student lectures

Weeklies (updated 4 March)

Basic references:J. M. Ball, lecture notes.
(DO NOT BUY THESE!!!)S. Bartels, Numerical Methods for Nonlinear Partial Differential Equations, Springer, 2015.
C. De Lellis, L. Szekelyhidi Jr., John Nash’s nonlinear iteration, to appear in memorial volume for John Nash.
I. Ekeland and N. Ghoussoub, Selected new aspects of the calculus of variations in the large, Bull. Amer. Math. Soc. 39 (2002), 207-265.
M. Struwe, Variational Methods: Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems, Springer, 2008.

Further material:Direct method of the calculus of variations
Compensated compactness and application to elasticty
Discretized problems
Gradient flows
High-dimensionality and h-principle in PDE
Onsager's conjecture

Notes: Week 1
(beware of typos!) Week 2
Week 3
Week 4
Week 5
Week 6
Week 7
Week 8
Week 9
Week 10, notes