The Benjamin-Ono equation stands as a prototypical example of a nonlocal, nonlinear dispersive equation used to model one-dimensional internal waves in stratified fluids. Its nonlocality ...

Scientists found some success by adding to the equation a time-dependent dispersion coefficient, but the coefficient created problems of its own, the primary one being paradoxes.

David M. Ambrose works in mathematical analysis and scientific computing for nonlinear systems of partial differential equations arising in various applications, ... dispersive model equations, the ...

When Kenig began working with dispersive equations approximately 20 years ago, he suspected that the field could benefit from the application of sophisticated mathematical techniques from harmonic ...