Lecture Notes

This course was originally developed and taught at MIT by Michael Brenner. Later, it was taught by Tom Peacock, Roman Stocker, Pedro Reis, and Jörn Dunkel, all of whom contributed to the evolution of the lecture notes to their current state.

Complete lecture notes: Nonlinear Dynamics II: Continuum Systems, Spring 2015 (PDF - 2.3MB)

LEC # LECTURE NOTES TOPICS
1 Math Basics (PDF)
2 Dimensional Analysis (PDF)
3 Dimensionless Groups (PDF)
4 Kepler's Problem and Hamiltonian Dynamics (PDF)
5 Random Walkers and Diffusion (PDF)
6 Solving the Diffusion Equation (PDF)
7 Linear Stability Analysis & Pattern Formation (PDF - 1.3MB)
8 Variational Calculus (PDF)
9 Surface Tension (PDF)
10 Some Basic Differential Geometry (PDF)
11 Elasticity (PDF)
12 Towards Hydrodynamic Equations (PDF)
13 The Navier-Stokes Equations (PDF)
14 Low-Reynolds Number Limit (PDF)
15 The Coffee Cup (PDF - 1.1MB)
16 Singular Perturbations (PDF)
17 Towards Airplane Fight (PDF)
18 Euler Equations: Basic Solutions and Forces (PDF)
19 Stream Functions and Conformal Maps (PDF)
20 Classical Aerofoil Theory (PDF)
21 Rotating Flows (PDF)
22 The Ekman Layer (PDF)
23 Water Waves (PDF)
24 Solitons (PDF)