Analysis, Dynamics and Applications Seminar

In this theoretical work, we study boundary integral formulations for an interior/exterior initial boundary value problem arising from the thermo-elasto-dynamic equations in a homogeneous and isotropic domain. The time dependence is handled  through a passage to the Laplace domain. In the Laplace domain, combined single- and double-layer potential boundary integral operators are introduced and proven to be coercive . Based on the Laplace domain estimates, it is possible to prove the existence, uniqueness and regularity properties of solutions in the time domain, as well as regularity requirements for problem data. This analysis may serve as the mathematical foundation for discretization schemes based on the combined use of the boundary element method and convolution quadrature.

Place:              Zoom: https://arizona.zoom.us/j/99410014231           Password: “arizona” (all lower case)