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SUMMARY:Sabrine Chebbi (University of Tunisia\,  El MANAR\, UTM)
DTSTART:20220221T144000Z
DTEND:20220221T161000Z
DTSTAMP:20260405T175324Z
UID:NSCM/54
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NSCM/54/">Th
 e Energy decay rate of 1D and 2D Timoshenko systems.  Theoretical analysis
  and numerical simulation</a>\nby Sabrine Chebbi (University of Tunisia\, 
  El MANAR\, UTM) as part of Nečas Seminar on Continuum Mechanics\n\n\nAbs
 tract\nWe focus on the behavior of the solutions of the Timoshenko systems
 \nin dimensions 1 and 2 using the lower bound estimates of the energy. We\
 nstudy a nonlinear damped one-dimensional thermo-elastic Timoshenko system
 \nwhere the heat flux is given by the Cattaneo’s law. After deriving the
  strong\nlower energy estimates\, we show the optimality for some explicit
  examples.\nFurthermore\, we discuss the well-posedness and the decay rate
  of the energy\nof the Mindlin-Timoshenko plate equations subject to a non
 linear dissipation\nacting on the rotation angles’equations. Later\, we 
 perform a numerical sim-\nulation of the one-dimensional Timoshenko system
 \, our approach is based\non adequate use of the finite element and the fi
 nite difference methods\ngiving rise to a new scheme which characterizes t
 he asymptotic behavior of\nthe discrete energy.\n
LOCATION:https://researchseminars.org/talk/NSCM/54/
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