Damping for the elastic wave equation

Résumé: Le but de ce projet est une investigation des techniques d’amortissement pour l’équation d’onde. Cette étude est intéressante tant du point de vue de la physique et que de l’analyse numérique. En effet l’amortissement apparâıt fréquemment dans les systèmes avec friction. Du point de vue mathématique, l’amortissement donne une meilleure régularité de l’équation élastique qui est importante par exemple pour l’analyse théorique des intéractions fluide-structure. Abstract Abstract: The goal of this project is to investigate damping techniques for the elastic wave equation. These are interesting from physical and numerical/mathematical point of view. The reason is that damping (e.g., friction) is often present in a system. Mathematically, damping leads to better regularity of the solid PDE equation, which is important for theoretical analysis of fluid-structure interaction for instance.Abstract: The goal of this project is to investigate damping techniques for the elastic wave equation. These are interesting from physical and numerical/mathematical point of view. The reason is that damping (e.g., friction) is often present in a system. Mathematically, damping leads to better regularity of the solid PDE equation, which is important for theoretical analysis of fluid-structure interaction for instance.