Global Existence and General Decay of Solutions for a Quasilinear System with Degenerate Damping Terms | Zendy

Fatma Ekinci | Zendy; Erhan Pışkın | Zendy; Salah Boulaaras | Zendy; Ibrahim Mekawy | Zendy

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Global Existence and General Decay of Solutions for a Quasilinear System with Degenerate Damping Terms

Author(s) -

Fatma Ekinci,

Erhan Pışkın,

Salah Boulaaras,

Ibrahim Mekawy

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.579

H-Index - 28

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/4316238

Subject(s) - degenerate energy levels , viscoelasticity , relaxation (psychology) , geodetic datum , mathematical analysis , generalization , dirichlet boundary condition , dispersion (optics) , mathematics , work (physics) , boundary (topology) , boundary value problem , physics , classical mechanics , quantum mechanics , geology , thermodynamics , geodesy , psychology , social psychology

In this work, we consider a quasilinear system of viscoelastic equations with degenerate damping, dispersion, and source terms under Dirichlet boundary condition. Under some restrictions on the initial datum and standard conditions on relaxation functions, we study global existence and general decay of solutions. The results obtained here are generalization of the previous recent work.

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