Dynamics of Nonlinear Waves on Bounded Domains

Understand

This thesis is concerned with dynamics of conservative nonlinear waves on bounded domains.

• In general, there are two scenarios of evolution.
• Either the solution behaves in an oscillatory, quasiperiodic manner or the nonlinear effects cause the energy to concentrate on smaller scales leading to a turbulent behaviour.
• Which of these two possibilities occurs depends on a model and the initial conditions.