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Course Offerings

Course Evaluation Results

Course Details

Spring 2018-2019
MAE 563 / AOS 563   Graded A-F, P/D/F, Audit

Instabilities in Fluids: Linear and Non-Linear Analysis of Waves and Patterns in the Environment

Luc Deike

This course describes natural patterns arising from instabilities in nature, and discusses their importance in the environment. We analyze phenomena at various scales, as diverse as wave breaking at the ocean surface, internal mixing in the atmosphere and the ocean, volcanic plumes, convection cells in the atmosphere, the break-up of fluid ligaments or bubble bursting at an interface. The course details mathematical tools (linear and non-linear stability analysis, symmetry arguments, solutions to non-linear equations such as shocks and solitons), as well as present laboratory and numerical demonstration of the instabilities.

Sample reading list:
Drazin and Reid, Hydrodynamical Stability
Whitman, Linear and Non-Linear Waves
Claude Godreche and Paul Manneville (Editors), Hydrodynamics and Nonlinear Instabilities
See instructor for complete list

Reading/Writing assignments:
Problem sets and optional reading.

Mid Term Exam - 20%
Final Exam - 40%
Class/Precept Participation - 10%
Problem set(s) - 30%

Other Requirements:
Not Open to First Year Undergraduates.

Prerequisites and Restrictions:
Physics or Math in freshman year..

Other information:
Final exam consists of a project. Projects consist of an analysis of an instability, based on an experimental or numerical work, including the mathematical analysis of the problem. The student presents the results as a lecture during the class.

Schedule/Classroom assignment:

Class numberSectionTimeDaysRoomEnrollmentStatus
41523 L01 01:30:00 pm - 02:50:00 pm M W        Enrolled:0 Limit:25