Internal exact controllability and uniform decay rates for a model of dynamical elasticity equations for incompressible materials with a pressure term

• Published in: Electronic journal of qualitative theory of differential equations Vol. 2018; no. 24; pp. 1 - 28
• Main Authors: Almeida, Adriana, Astudillo Rojas, María, Cavalcanti, Marcelo, Zanchetta, Janaina
• Format: Journal Article
• Language: English
• Published: University of Szeged 01.01.2018
• Subjects: incompressible materials; internal exact controllability; non linear damping; uniform decay rates

This paper is concerned with the internal exact controllability of the following model of dynamical elasticity equations for incompressible materials with a pressure term, $$\phi''-\Delta \phi=-\nabla p,$$ and it is also devoted to the study of the uniform decay rates of the energy associa...