18.354 - Nonlinear Dynamics II: Continuum Systems (Spring 2017)

Instructor: Philip Pearce

Email: ppearce [at] mit .edu

Office: Room 2-231B

Lectures: M W 1:00 - 2:30 pm in 2-146

Office Hours: M 4:00 - 5:00pm in 2-231

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

[04.24.2017]  The midterm is now online here.

[04.05.2017]  Problem set 4 is now online (here).

[03.15.2017]  Problem set 3 is now online (here).

[03.01.2017]  Problem set 2 is now online (here).

[02.15.2017]  IMPORTANT NOTICE: Due to President's Day on Monday 02/20, the next lecture will take place on TUESDAY 02/21.

[02.15.2017]  Problem set 1 is now online (here).

[02.13.2017]  Lecture 2 is cancelled because MIT is shut due to the snow. We will catch up on the topics of Lecture 2 in Lecture 3.

[02.08.2017]  I've added a summary of what we covered in the first lecture to the Schedule page. I will add to this throughout the semester so you always know what we covered and which part of the online notes it is from. I'll also give the sections of the online notes relevant to the next lecture, in case you want to read ahead.

[02.01.2017]  Welcome to the spring semester!