A sketch of students (or, perhaps, fellows) in a manuscript of William of Ockham's commentary on Aristotle's Physics (MS293 from the Merton College library, image courtesy of J. Walwarth). 
Hilary
Term
2021 LECTURES Monday 10:0011:00 & 17:0018:00 weekly on ZOOM (links by email from Jasmine, not public; or ask the lecturers) Virtual blackboard for Part II (MHD) lectures CLASSES TBA (week 4) (with Paul Dellar) TBA (week 9) (with David Hosking) Course materials, reading suggestions, scheduling notices, problem sets to appear below shortly. Syllabi currently given below are subject to revision. 
A sketch of students (or, perhaps, fellows) in a manuscript of William of Ockham's commentary on Aristotle's Physics (MS293 from the Merton College library, image courtesy of J. Walwarth). 

PART I: COMPLEX FLUIDS 
Lectures 16
Dr Paul Dellar
Fluid
mechanics with general extra stress. Dilute suspension of spheres:
Einstein viscosity. Dilute suspension of beads on springs: OldroydB
model for polymeric liquids, elastic waves, anisotropic pressure.
Dilute suspension of orientable particles (ellipsoids): road map to
liquid crystals, swimmers and active matter.
Lectures 12 (Mon 18.01.21) Lectures 34 (Mon 25.01.21) Lectures 56 (Mon 1.02.21) 
Problem
Set 1 Paul Dellar's course webpage 

PART II: MAGNETOHYDRO DYNAMICS 
Lectures 716 Prof Alexander
Schekochihin MHD
equations: conservation laws in a conducting fluid; Maxwell
stress/magnetic forces; induction equation; Lundquist theorem, flux
freezing, amplification of magnetic field. MHD in a strong guide field:
MHD waves; highbeta and anisotropic limits and orderings;
incompressible MHD, Elsasser MHD, Reduced MHD. Static MHD equilibria,
forcefree solutions, helicity, Taylor relaxation. Energy principle.
Instabilities: interchange, Zpinch.

Problem Set 2 You will find it at the back of the typed Lecture Notes, Part II It is to be handed in to David Hosking, by 11:59 on Saturday 13.03.21 

Lectures 78 (Mon 8.02.21) MHD
equations: conservation laws in a conducting fluid; Maxwell
stress/magnetic forces; induction equation; Lundquist theorem, flux
freezing, amplification of magnetic field. You are ready to do
Q14 of the Problem Set
(and the optional Q5 if you study the section on Lagrangian MHD) Lectures 910 (Mon 15.02.21) MHD in a strong guide field: MHD waves; highbeta and anisotropic limits and orderings. Lectures 1112 (Mon 22.02.21) MHD in a strong guide field: incompressible MHD, Reduced MHD. You are ready to do Q68 of the Problem Set
Lectures 1314 (Mon 1.03.21) Static MHD equilibria, forcefree solutions, helicity, Taylor relaxation. Energy principle started. You are ready to do Q9 of the Problem Set
Lectures 1516 (Mon 8.03.21) Energy principle finished. Instabilities: interchange, Zpinch. You are ready to do Q1011 of the Problem
Set

You will find typed lecture
notes as Part II in this file They will be occasionally updated during this term. The current version is of 1.01.21. I will be very grateful to those of you who offer criticisms, suggestions or point out errors. 