Asymptotic Behavior for a Nondissipative and Nonlinear System of the Kirchhoff Viscoelastic Type

المؤلف

Tatar, Nasser-Eddine

المصدر

Journal of Applied Mathematics

العدد

المجلد 2012، العدد 2012 (31 ديسمبر/كانون الأول 2012)، ص ص. 1-17، 17ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2012-08-16

دولة النشر

مصر

عدد الصفحات

17

التخصصات الرئيسية

الرياضيات

الملخص EN

A wave equation of the Kirchhoff type with several nonlinearities is stabilized by a viscoelastic damping.

We consider the case of nonconstant (and unbounded) coefficients.

This is a nondissipative case, and as a consequence the nonlinear terms cannot be estimated in the usual manner by the initial energy.

We suggest a way to get around this difficulty.

It is proved that if the solution enters a certain region, which we determine, then it will be attracted exponentially by the equilibrium.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Tatar, Nasser-Eddine. 2012. Asymptotic Behavior for a Nondissipative and Nonlinear System of the Kirchhoff Viscoelastic Type. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-993862

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Tatar, Nasser-Eddine. Asymptotic Behavior for a Nondissipative and Nonlinear System of the Kirchhoff Viscoelastic Type. Journal of Applied Mathematics No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-993862

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Tatar, Nasser-Eddine. Asymptotic Behavior for a Nondissipative and Nonlinear System of the Kirchhoff Viscoelastic Type. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-993862

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-993862