Exponential stability to the Bresse system with boundary dissipation conditions

2015/06/04 by Margareth S. Alves, Alves, Margareth S., V. Octavio Vera +8
Computer Science · Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #math.AP

paper · pdf · doi:10.48550/arxiv.1506.01657

arxiv created 2015/06/04 · arxiv updated 2015/06/05

Abstract

We consider the Bresse model with three control boundary conditions. We prove the exponential stability of the system using the semigroup theory of linear operators and a result obtained by Prüss.

Related

• Polynomial and non exponential stability of a weak dissipative Bresse system
• The lack of exponential stability of a Bresse system subjected only to two dampings
• Stability results of a distributed problem involving Bresse system with\n history and/or Cattaneo law under fully Dirichlet or mixed boundary\n conditions
• Exponential stability of linear systems under a class of Desch-Schappacher perturbations
• Exponential decay properties of a mathematical model for a certain fluid-structure interaction