A Heat–Viscoelastic Structure Interaction Model with Neumann and Dirichlet Boundary Control at the Interface: Optimal Regularity, Control Theoretic Implications

• Published in: Applied mathematics & optimization Vol. 73; no. 3; pp. 571 - 594
• Main Author: Triggiani, Roberto
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.06.2016; Springer Nature B.V
• Subjects: Boundaries; Boundary conditions; Boundary control; Boundary layer; Calculus of Variations and Optimal Control; Optimization; Control; Control theory; Dirichlet problem; Energy measurement; Game theory; Heat transfer; Mathematical analysis; Mathematical and Computational Physics; Mathematical Methods in Physics; Mathematical models; Mathematics; Mathematics and Statistics; Numerical and Computational Physics; Operators; Optimization; Partial differential equations; Simulation; Studies; Systems Theory; Theoretical; Viscoelasticity; Heat-structure interaction; Optimal boundary regularity; Heat-structure interaction systems

We consider a heat–structure interaction model where the structure is subject to viscoelastic (strong) damping, and where a (boundary) control acts at the interface between the two media in Neumann-type or Dirichlet-type conditions. For the boundary (interface) homogeneous case, the free dynamics ge...