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Bresse Beam with Damping and Logarithmic Source

  • Sebastião Cordeiro,
  • Carlos Baldez,
  • Carlos Raposo,
  • Ducival Pereira,
  • Octavio Vera

摘要

This paper investigates the stabilization of a Bresse system with internal damping and logarithmic source. The authors use the potential well theory. For initial data in the stability set created by the Nehari surface, the existence of a global solution is proved by using Faedo-Galerkin’s approximation. The Nakao theorem gives the exponential decay. A numerical approach is presented to illustrate the results obtained.