Departamento de Gravitación y Teoría de Campos

                          Seminarios 2016

  

                          Instituto de Ciencias Nucleares, UNAM
[ ICN-UNAM]

Jueves 11 de febrero, a las 17:00 hrs en el salón de seminarios A2.25, 2. piso del ICN

Horst Reinhard Beyer (Universidad Politécnica de Uruapan)

Peridynamics & Diffusion Wave Equations

We study nonlocal equations from the area of peridynamics, which is an extension of elasticity, developed at Sandia National Labs, New Mexico, USA. The governing peridynamic equation is a nonlocal wave equation. The governing operator is identified as a bounded, linear, self-adjoint operator in L^2. This operator turns out to be a function of the Laplace operator. This result enables the comparison of peridynamic solutions to those of classical elasticity. We study the well-posedness and stability of the associated initial value problem. We solve the initial value problem by using the functional calculus of the governing operator. In addition, we give a series representation of the solution in terms of spherical Bessel functions. Finally, we give results in bounded domains.