18.306 Advanced Partial Differential Equations with Applications


Class Info

Concepts and techniques for partial differential equations, especially nonlinear. Diffusion, dispersion and other phenomena. Initial and boundary value problems. Normal mode analysis, Green's functions, and transforms. Conservation laws, kinematic waves, hyperbolic equations, characteristics shocks, simple waves. Geometrical optics, caustics. Free-boundary problems. Dimensional analysis. Singular perturbation, boundary layers, homogenization. Variational methods. Solitons. Applications from fluid dynamics, materials science, optics, traffic flow, etc.

This class has 18.03, 18.034, 18.04, 18.075, and 18.112 as prerequisites.

18.306 will not be offered this semester. It will be available in the Spring semester, and will be instructed by R. R. Rosales.

Lecture occurs 9:30 AM to 11:00 AM on Tuesdays and Thursdays in 2-132.

This class counts for a total of 12 credits.

You can find more information at the http://www.google.com/search?&q=MIT+%2B+18.306&btnG=Google+Search&inurl=https site.

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