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Article Dans Une Revue Applicable Analysis Année : 2020

Well-posedness and asymptotic stability results for a viscoelastic plate equation with a logarithmic nonlinearity

Résumé

In this paper, we consider a viscoelastic plate equation with avelocity-dependent material density and a logarithmic nonlinearity. Using theFaedo-Galaerkin approximations and the multiplier method, we establish theexistence of the solutions of the problem and we prove an explicit and gen-eral decay rate result. These results extend and improve many results in theliterature.
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Dates et versions

hal-02891552 , version 1 (15-08-2020)

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Mohammad M Al-Gharabli, Aissa Guesmia, Salim Messaoudi. Well-posedness and asymptotic stability results for a viscoelastic plate equation with a logarithmic nonlinearity. Applicable Analysis, 2020, 99, pp.50 - 74. ⟨10.1080/00036811.2018.1484910⟩. ⟨hal-02891552⟩
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