UNIVERSITY OF COLORADO AT DENVER

PLACE: Mathematics Conference Room 626 UCD Building, 1250 14th St., Denver

TIME: 2pm (Refreshments served at 1:55 pm)

DATE: April 26, 1999

             A Derivation of Boundary Conditions at an Interface

                    Lynn S. Bennethum,  Math dept. CU Denver


      Following Eringen, I will present the derivation of boundary conditions
necessary for modeling the interface of two media at the continuum
scale.  The interface may be ice and water, elastic solid and fluid, 
air and solid, etc.  We will derive the general form of the boundary 
conditions needed when applying the continuity equation (conservation of mass),
conservation of momentum, and conservation of energy.  Then we will
mention specific cases such as when one medium is stationary, when
one medium does not penetrate another medium, etc.  This will not
be a 'pure' mathematical talk in the sense that I'm not interested in proving
well-posedness for the resulting boundary condition. It will
be assumed, however, that the audience is familiar with the divergence 
theorem for example.  Extensions of these results to Maxwell's equations 
will be mentioned as time allows.