For more information about this meeting, contact Stephen Simpson.
|Seminar:||Department of Mathematics Colloquium|
|Speaker:||John Hunter, University of California at Davis|
|Surface waves are waves that propagate along a boundary or interface, with energy
that is localized near the surface. Physical examples include water waves on the free surface
of a fluid, Rayleigh waves on an elastic half-space, and waves on a vorticity discontinuity
in the flow of an ideal fluid. We will describe some of the history of these, and related surface waves,
and discuss how they are affected by nonlinearity.
The nonlinear evolution of water waves, which are dispersive,
is described by well-known PDEs, such as the KdV equation or the nonlinear Schr"odinger equation.
The nonlinear evolution of Rayleigh waves or waves on a vorticity discontinuity,
which are nondispersive, is described by novel nonlocal, quasi-linear, singular integro-differential
equations, and we will discuss some of their properties.|
Room Reservation Information
|Date:||04 / 08 / 2010|
|Time:||04:00pm - 05:00pm|