UNIFORM STABILIZATION OF THE PETROVSKY-WAVE NONLINEAR COUPLED SYSTEM WITH STRONG DAMPING

This paper concerns the well-posedness and uniform stabilization of the Petrovsky-Wave Nonlinear coupled system with strong damping. Existence of global weak solutions for this problem is established by using the Galerkin method. Meanwhile, under a clever use of the multiplier method, we estimate th...

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Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 13; no. 3; p. 807
Main Author Aissa, Akram Ben
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.01.2023
Elman Hasanoglu
Subjects
Approximation theory
Damping
Damping (Mechanics)
Decay rate
Galerkin method
Mathematical research
Ordinary differential equations
Stabilization
Wave equation
Tunisia
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ISSN2146-1147
2146-1147

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Summary:This paper concerns the well-posedness and uniform stabilization of the Petrovsky-Wave Nonlinear coupled system with strong damping. Existence of global weak solutions for this problem is established by using the Galerkin method. Meanwhile, under a clever use of the multiplier method, we estimate the total energy decay rate.
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ISSN:2146-1147
2146-1147