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Existence and exponential decay of solutions for magnetic effected piezoelectric beams with second sound and distributed delay term

Douib, Madani
2023
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Abstract
This paper is concerned with a system of magnetic effected piezoelectric beams with distributed delay term, where the heat flux is given by Cattaneo’s law (second sound). We prove the existence and the uniqueness of the solution using the semigroup theory. Then, we establish the exponential stability of the solution by introducing a suitable Lyapunov functional.
DOI
10.13137/2464-8728/34710
Soggetti
  • Piezoelectric beams

  • magnetic effect

  • distributed delay

  • second sound

  • wellposedness

  • exponential stability...

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