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This course introduces the basic ideas for understanding the dynamics of continuum systems, by studying specific examples from a range of different fields.
0
3
English
English [CC]
FREE
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Description
Our goal will be to explain the general principles, and also to illustrate them via important physical effects. A parallel goal of this course is to give you an introduction to mathematical modeling.
Course content
- Math Basics Unlimited
- Dimensional Analysis Unlimited
- Dimensionless Groups Unlimited
- Kepler’s Problem and Hamiltonian Dynamics Unlimited
- Random Walkers and Diffusion Unlimited
- Solving the Diffusion Equation Unlimited
- Linear Stability Analysis & Pattern Formation Unlimited
- Variational Calculus Unlimited
- Surface Tension Unlimited
- Some Basic Differential Geometry Unlimited
- Elasticity Unlimited
- Towards Hydrodynamic Equations Unlimited
- The Navier-Stokes Equations Unlimited
- Low-Reynolds Number Limit Unlimited
- The Coffee Cup Unlimited
- Singular Perturbations Unlimited
- Towards Airplane Fight Unlimited
- Euler Equations: Basic Solutions and Forces Unlimited
- Stream Functions and Conformal Maps Unlimited
- Classical Aerofoil Theory Unlimited
- Rotating Flows Unlimited
- The Ekman Layer Unlimited
- Water Waves Unlimited
- Solitons Unlimited
Instructor
Massachusetts Institute of Technology
5
5
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1916
1520
