Organizers of this minisymposium are
In the broad context of nonlinear evolution equations we will focus on local and nonlocal systems of partial equations which appear in water waves and related models (NLS, KdV, ILW, etc), and other physical phenomena. The talks of this special session will revolve around qualitative and quantitative properties of solutions to these equations, such as existence and uniqueness, regularity of solutions, stability theory associated with these solutions as well as long time asymptotic behavior. Of interest will also be related problems arising in dispersive partial differential equations. We anticipate that participants will find this session inspiring as many of the problems that will be discusses would also relate with other models in nonlinear acoustics, traveling waves in elasticity and viscoelasticity, and plasma dynamics.