12.207
Nonlinear Dynamics: Continuum Systems
See description under subject 18.354[J] .
Spring 2015 · Nonlinear Dynamics II: Continuum Systems
Topics
- Introduction, overview & mathematical basics
- Dimensional analysis & scalings
- Hamiltonian dynamics & Kepler’s laws
- Random walkers
- Diffusion equation: Fourier method
- Diffusion equation: Green’s function method
- Linear stability analysis & pattern formation
- Calculus of variations
- Surface tension
- Elasticity
- Deformation of a thin beam
- Towards hydrodynamics
- Navier-Stokes equations I
- Hydrodynamics equations
- Stokes limit & Oseen tensor
- Navier-Stokes equations II
- Singular perturbations
- Towards airplane flight
- Euler equations: Basic solutions and forces
- 2D hydrodynamics
- Conformal maps & airfoils
- Waves & solitons
- Final projects: Student presentations
- Final projects: Student presentations (cont.)
- Bouncing droplets
- Topological defects & active matter
Readings
Prerequisites & course information
Same subject as 1.062[J] , 18.354[J] Subject meets with 18.3541 Prereq: Physics II (GIR) and ( 18.03 or 18.032 ) U (Spring) 3-0-9 units
Sources
- Course catalogue ↗2026–2027
- MIT OpenCourseWare ↗Spring 2015
- MIT OCW calendar ↗
- MIT OCW syllabus ↗
- Historical MIT OpenCourseWare offering. Named reading entries and schedule topics are automatically extracted from the linked source pages.