Title: Internal gravity waves and hyperbolic boundary-value problems

P. A. Martin

Department of Mathematical and Computer Sciences,
Colorado School of Mines

Abstract:

Waves are generated by an oscillating object surrounded by an 
incompressible fluid in which the density is an increasing function of 
depth. After removing the dependence on time, a boundary-value problem 
for a hyperbolic PDE remains. Such problems are unfamiliar to (most) 
mathematicians. Some of the following aspects will be discussed: energy 
production and characteristic wave beams; radiation conditions; boundary 
integral equations. Comparisons with the more familiar acoustic problems 
will also be made.