Calendar · Lecture Notes
MIT OpenCourseWare
Nonlinear Dynamics II: Continuum Systems
Art: Johannes Kepler, Konjukce Saturnu a Jupiteru Originál, 1596 · Public domain
- Instructor
- Prof. Jörn Dunkel
- Term
- Spring 2015
- Level
- Graduate
- What's inside
- 4 problem sets · 1 solution · 2 lecture notes · 24 other files · 5 web pages
- Materials open
- MIT OCW
About this course
Source: MIT OpenCourseWare 18.354J Nonlinear Dynamics II: Continuum Systems, Spring 2015, Prof. Jörn Dunkel — original course page on ocw.mit.edu ↗. License: CC BY-NC-SA 4.0. Study order: MIT's own listing order, section by section. Taken from MIT's published course files, downloaded from ocw.mit.edu on September 23, 2026. How RedLectern is built.
Materials are grouped the way MIT organized them. A verified, course-wide order has not been established here.
Before you start
Prerequisites are not listed here. Check MIT's own syllabus for this course.
How this course was organized
What's here, and what isn't
- MIT's own materials here did not support a verified, course-wide order, so they are grouped by section instead.
Not included here
2 items from the source could not be safely included:
- MIT's page format for this item wasn't recognized clearly enough to place it safely. (2 items)
Materials by section
Grouped by section, as MIT organized them. Not sequenced or ordered.
Lecture Notes
25 files
- Nonlinear Dynamics II: Continuum Systems, Math Basics Download
- Nonlinear Dynamics II: Continuum Systems, Dimensional Analysis Download
- Nonlinear Dynamics II: Continuum Systems, Dimensionless Groups Download
- Nonlinear Dynamics II: Continuum Systems, Kepler’s Problem And Hamiltonian Dynamics Download
- Nonlinear Dynamics II: Continuum Systems, Random Walkers And Diffusion Download
- Nonlinear Dynamics II: Continuum Systems, Solving The Diffusion Equation Download
- Nonlinear Dynamics II: Continuum Systems, Linear Stability Analysis and Pattern Formation Download
- Nonlinear Dynamics II: Continuum Systems, Variational Calculus Download
- Nonlinear Dynamics II: Continuum Systems, Surface Tension Download
- Nonlinear Dynamics II: Continuum Systems, Some Basic Differential Geometry Download
- Nonlinear Dynamics II: Continuum Systems, Elasticity Download
- Nonlinear Dynamics II: Continuum Systems, Towards Hydrodynamic Equations Download
- Nonlinear Dynamics II: Continuum Systems, The Navier-Stokes Equations Download
- Nonlinear Dynamics II: Continuum Systems, Low-Reynolds Number Limit Download
- Nonlinear Dynamics II: Continuum Systems, The Coffee Cup Download
- Nonlinear Dynamics II: Continuum Systems, Singular Perturbations Download
- Nonlinear Dynamics II: Continuum Systems, Towards Airplane Flight Download
- Nonlinear Dynamics II: Continuum Systems, Euler Equations: Basic Solutions And Forces Download
- Nonlinear Dynamics II: Continuum Systems, Stream Functions and Conformal Maps Download
- Nonlinear Dynamics II: Continuum Systems, Classical Aerofoil Theory Download
- Nonlinear Dynamics II: Continuum Systems, Rotating Flows Download
- Nonlinear Dynamics II: Continuum Systems, The Ekman Layer Download
- Nonlinear Dynamics II: Continuum Systems, Water Waves Download
- Nonlinear Dynamics II: Continuum Systems, Solitons Download
- Nonlinear Dynamics II: Continuum System, Lecture Notes Download
Assignments and Exams
- Nonlinear Dynamics II: Continuum Systems, MidtermExam Download
- Nonlinear Dynamics II: Continuum Systems, Problem Set 1 Download
- Nonlinear Dynamics II: Continuum Systems, Problem Set 2 Download
- Nonlinear Dynamics II: Continuum Systems, Problem Set 3 Download
- Nonlinear Dynamics II: Continuum Systems, Problem Set 4 Download
Course outline
Calendar · Lecture Notes
Lecture 2: Dimensional analysis & scalings
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Lecture 3: Hamiltonian dynamics & Kepler’s laws
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Lecture 4: Random walkers
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Lecture 5: Diffusion equation: Fourier method
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Lecture 6: Diffusion equation: Green’s function method
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Lecture 7: Linear stability analysis & pattern formation
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Lecture 8: Calculus of variations
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Lecture 9: Surface tension
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Lecture 10: Elasticity
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Lecture 11: Deformation of a thin beam
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Lecture 12: Towards hydrodynamics
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Lecture 13: Navier-Stokes equations I
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Lecture 14: Hydrodynamics equations
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Lecture 15: Stokes limit & Oseen tensor
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Lecture 16: Navier-Stokes equations II
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Lecture 17: Singular perturbations
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Lecture 18: Towards airplane flight
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Lecture 19: Euler equations: Basic solutions and forces
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Lecture 20: 2D hydrodynamics
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Lecture 21: Conformal maps & airfoils
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Lecture 22: Waves & solitons
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Lecture 23: Final projects: Student presentations
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Lecture 24: Final projects: Student presentations (cont.)
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Lecture 25: Bouncing droplets
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Lecture 26: Topological defects & active matter
MIT OpenCourseWare, Prof. Jörn Dunkel, 18.354J Nonlinear Dynamics II: Continuum Systems, Spring 2015.
License: CC BY-NC-SA 4.0 · Edition: Spring 2015 · Open the original course on OCW ↗
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