Partial Differential Equations On Multistructures

Felix Ali Mehmeti (Edited by) Serge Nicaise (Universite de Valenciennes, France) (Edited by), Joachim Von Below (Edited by)

• Transient vibrations of planar networks of beams - interaction of flexion, transversal and longitudinal waves; can one hear the shape of a network?; sensitivity analysis of 2D interface cracks; on the asymptotic expansion of the solution of a Dirichlet-Ventcel problem with a small parameter; on instantaneous control of singularly perturbed hyperbolic systems on graphs; Hadamard formula in non-smooth domains and applications; singular stress field at the tip of a closed interface crack; on the geometric and algebraic multiplicities for eigenvalue problems on graphs; the asymptotic Laplace transform - new results and relation to Komatsu's Laplace transform of hyperfunctions; some systems of PDE on polygonal networks; about a geometrical approach to multistructures and some qualitative properties of solutions; study of a vibration problem for a perforated plate with Fourier boundary conditions; singular perturbations with non-smooth limit and finite element approximation of layers for model problems of shells; modelling of a thin piezoelectric shell coupled with a distributed electronic circuit by piezoelectric transducers.