On a Class of Nonlinear Viscoelastic Kirchhoff Plates : Well-Posedness and General Decay Rates

Silva, M. A. Jorge; Rivera, J. E. Muñoz; Racke, Reinhard

On a Class of Nonlinear Viscoelastic Kirchhoff Plates : Well-Posedness and General Decay Rates

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2016

Autor:innen

Silva, M. A. Jorge

Rivera, J. E. Muñoz

Racke, Reinhard

DOI (zitierfähiger Link)

10.1007/s00245-015-9298-0

Sammlungen

Mathematik und Statistik

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Applied Mathematics & Optimization ; 73 (2016), 1. - S. 165-194. - ISSN 0095-4616. - eISSN 1432-0606

Zusammenfassung

This paper is concerned with well-posedness and energy decay rates to a class of nonlinear viscoelastic Kirchhoff plates. The problem corresponds to a class of fourth order viscoelastic equations of p-Laplacian type which is not locally Lipschitz. The only damping effect is given by the memory component. We show that no additional damping is needed to obtain uniqueness in the presence of rotational forces. Then, we show that the general rates of energy decay are similar to ones given by the memory kernel, but generally not with the same speed, mainly when we consider the nonlinear problem with large initial data.

Fachgebiet (DDC)

510 Mathematik

Zitieren

ISO 690

SILVA, M. A. Jorge, J. E. Muñoz RIVERA, Reinhard RACKE, 2016. On a Class of Nonlinear Viscoelastic Kirchhoff Plates : Well-Posedness and General Decay Rates. In: Applied Mathematics & Optimization. 73(1), pp. 165-194. ISSN 0095-4616. eISSN 1432-0606. Available under: doi: 10.1007/s00245-015-9298-0

BibTex

@article{Silva2016Class-33954,
  year={2016},
  doi={10.1007/s00245-015-9298-0},
  title={On a Class of Nonlinear Viscoelastic Kirchhoff Plates : Well-Posedness and General Decay Rates},
  number={1},
  volume={73},
  issn={0095-4616},
  journal={Applied Mathematics & Optimization},
  pages={165--194},
  author={Silva, M. A. Jorge and Rivera, J. E. Muñoz and Racke, Reinhard}
}

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