Dynamical Systems and Conservation Laws

Content

Please log in to view module content:

log in

Description

Module Overview - Dynamical Systems and Conservation Laws

Tuesday 15.30-17.30

The goal of the first part of this module is to present some basic concepts about the
geometry of dynamics and bifurcations of ordinary differential equations. A large part of this is devoted to scalar equations where, despite their simplicity, many modern concepts of dynamical systems can be explained. The second part introduces partial differential equations describing conservation laws. Again we focus on scalar equations and conclude the module with shock waves, and entropy conditions.

• Dynamical systems and bifurcation
• Scalar conservation laws
• Shocks and entropy conditions 

Assessment

The module is examined in one assignments at the end of the module.

Prerequisites

This module assumes knowledge of undergraduate level ordinary differential equations, single- and multivariable real analysis, and linear algebra.