Tootfinder

Well--posedness for the biharmonic scattering problem for a penetrable obstacle
Rafael Ceja Ayala, Isaac Harris, Tonatiuh S\'anchez-Vizuet
https://arxiv.org/abs/2506.10176

Well--posedness for the biharmonic scattering problem for a penetrable obstacle
We address the direct scattering problem for a penetrable obstacle in an infinite elastic two--dimensional Kirchhoff--Love plate. Under the assumption that the plate's thickness is small relative to the wavelength of the incident wave, the propagation of perturbations on the plate is governed by the two-dimensional biharmonic wave equation, which we study in the frequency domain. With the help of an operator factorization, the scattering problem is analyzed from the perspective of a coupled bou…