Global nonexistence of solutions for nonlinear coupled viscoelastic wave equations with damping and source terms: Doc 250

Global nonexistence of solutions for nonlinear coupled viscoelastic wave equations with damping and source terms: Doc 250

In this paper, we are concerned with a nonlinear coupled viscoelastic wave equations with initial-boundary value conditions and nonlinear damping and source terms. Under suitable assumptions on relaxation functions, damping terms, and source terms, by using the energy method we proved a global nonex...

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Veröffentlicht in:Boundary value problems 2014-11, Vol.2014, p.1
Hauptverfasser: Hao, Jianghao, Niu, Shasha, Meng, Huihui
Format: Artikel
Sprache:eng
Schlagworte:
Boundary value problems
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Zusammenfassung:In this paper, we are concerned with a nonlinear coupled viscoelastic wave equations with initial-boundary value conditions and nonlinear damping and source terms. Under suitable assumptions on relaxation functions, damping terms, and source terms, by using the energy method we proved a global nonexistence result for certain solutions with negative initial energy.[PUBLICATION ABSTRACT]
ISSN:1687-2762
1687-2770
DOI:10.1186/s13661-014-0250-z