18.354 - Nonlinear Dynamics II: Continuum Systems (Spring 2017)

Schedule

The course schedule can be found here. Note: The schedule is subject to change. Check back for changes and updates.

Completed Lectures

[02.08] - Lecture 1: Introduction. Course overview. Mathematical basics. [Section 1 of online notes].

[02.13] - Lecture 2: Cancelled (MIT snow day).

[02.15] - Lecture 2 catch up: Dimensional analysis. Dimensionless groups. [Sections 2 and 3 of online notes]. Lecture 3: Kepler's laws of plentary motion. Hamiltonian dynamics of many-body systems [Section 4 of online notes].

[02.21] - Lecture 4: Random walkers. Diffusion. [Section 5 of online notes].

[02.22] - Lecture 5: Solving the diffusion equation. Fourier method [Section 6 of online notes].

[02.27] - Lecture 6: Solving the diffusion equation. Green's function method [Section 6 of online notes].

[03.01] - Lecture 7: Linear stability analysis. Pattern formation [Section 7 of online notes].

[03.05] - Lecture 8: Calculus of variations. Euler-Lagrange equations. [Section 8 of online notes].

[03.08] - Lecture 9: Surface tension [Section 9 of online notes].

[03.13] - Lecture 10: Elasticity [Section 11 of online notes].

[03.15] - Lecture 11: Elasticity (examples) [Section 11 of online notes].

[03.20] - Lecture 12: Towards hydrodynamics [Section 12 of online notes].

[03.22] - Lecture 13: Navier-Stokes equations I [Section 12 of online notes].

[04.03] - Lecture 14: Low Reynolds number flow [Section 14 of online notes].

[04.05] - Lecture 15: Navier-Stokes equations II [Section 14 of online notes].

[04.10] - Lecture 16: Singular perturbations [Section 16 of online notes].

[04.12] - Lecture 17: Towards airplane flight [Section 17/18 of online notes].

[04.19] - Lecture 18: Two-dimensional hydrodynamics and conformal maps[Section 19 of online notes].

Upcoming Lectures

[04.24] - Lecture 19: Classical aerofoil theory [Section 20 of online notes].