Qualitative analysis of solutions for a system of viscoelastic wave equations of Kirchhoff type with logarithmic nonlinearity

Pışkın, Erhan; Irkıl, Nazlı

doi:10.1063/5.0042206

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2023

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“…They obtained their results without imposing any growth condition on the weak damping term at the origin. See also earlier studies [25–30] and references therein.…”

Section: Introductionmentioning

confidence: 99%

Coupled system of nonlinear viscoelastic plate equations of (p(x),q(x))‐Kirchhoff‐type: Global existence, general decay, and blow‐up

Shahrouzi,

Ferreira,

Tahamtani

2023

Math Methods in App Sciences

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This work studies the global behavior of solutions for a system of ‐Kirchhoff‐type equations. We prove the global existence of solutions, and next, by constructing suitable auxiliary functionals, the general decay of solutions has been confirmed when the exponents satisfy appropriate conditions. Also, under suitable conditions on data, we establish the finite time blow‐up of solutions with negative initial energy. Our results extend and improve many earlier results in the literature.

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“…They obtained their results without imposing any growth condition on the weak damping term at the origin. See also earlier studies [25–30] and references therein.…”

Section: Introductionmentioning

confidence: 99%