Mathematics 283: Topics in Nonlinear PDE - Stability Theory (Spring 2002)
Instructor
Walter Strauss
Description
This course will be adjusted according to the interests and knowledge of
the students. We will be considering dynamical PDEs that arise in
physical science, such as the equations of Schrodinger, KdV, Vlasov,
Boltzmann and Euler. All of these systems conserve energy. Concepts
of mass, momentum, energy and entropy play a key role in the analysis.
Given an equilibrium configuration, a basic question is whether or not the
nearby solutions remain nearby at all future times. If they do, then the
equilibrium is called stable. The treatment will be mathematically
rigorous.
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Last modified: 18 October 2001