Biomedical subjects
Publications and source records attributed to J D Meiss.
A system of waves coupled by three-wave, or triad, interactions is considered. A model is constructed to describe the response of a single test wave to interaction with a "heat bath" of "ambient waves." An exact solution for the relaxation of the test wave amplitude is obtained. Regimes of validity are shown for the use of a Langevin equation based on a two-time scale perturbation theory.
We consider the propagation of weakly nonlinear waves such as plasma waves, surface water waves, the interaction of laser beams with matter, particle accelerators, etc. Specifically, we study internal waves in the ocean. Hamilton's principle is used to write the fluid equations in Hamiltonian form in terms of linear eigenmode amplitudes. Numerical studies are made of the effect of Fourier grid size and resonance widths. Statistical information is generated from an ensemble of initial states of the random wave field.