18.354 - Nonlinear Dynamics II: Continuum Systems (Spring 2019)

Instructor: Philip Pearce

Email: ppearce [at] mit .edu

Office: Room 2-179

Lectures: M W 11:30am - 1:00 pm in 2-135

Office Hours: M 2:00pm - 3:00pm in 2-179

COURSE DESCRIPTION

General mathematical principles of continuum systems. From microscopic to macroscopic descriptions in the form of linear or nonlinear (partial) differential equations. Exact solutions, dimensional analysis, calculus of variations and singular perturbation methods. Stability, waves and pattern formation in continuum systems. Subject matter illustrated using natural fluid and solid systems found, for example, in geophysics and biology.

Prerequisites: 18.03 or 18.034; Physics II (GIR)

Text Book: Although there are no textbooks which follow the precise spirit of this course, there are literally hundreds of textbooks where the topics we will cover are discussed. For most lectures, typed notes can be downloaded from the course webpage. Additional material will be handed out in class. One book that will be useful frequently is: D. J. Acheson, Elementary Fluid Dynamics, Oxford University Press (1990).

RECENT UPDATES

[02.11.2019]  Links from Lecture 2 added to Links page.

[02.01.2019]  Welcome to the spring semester!