Exponential stability and blow up for a problem with Balakrishnan-Taylor damping

• Autorzy: Tatar N.-E. , Zaraï A.
• Języki publikacji: EN

Abstrakty

EN

This work is devoted to the study of a nonlinear viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping. We show that the weak dissipation producedby the memory term is strong enough to stabilize solutions exponentially. Also, we show that a nonlinear source of polynomial type is able to force solutions to blow up in finite time even in presence of a stronger damping.

Słowa kluczowe

EN

Balakrishnan-Taylor damping; exponential stability; memory term; relaxation function; viscoelasticity

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2011
• Tom: Vol. 44, nr 1
• Strony: 67--90
• Opis fizyczny: Bibliogr. 25 poz.

Twórcy

autor

Tatar N.-E.

• King Fahd University of Petroleum and Minerals Depatment of Mathematics and Statistics Dhahran 31261, Saudi Arabia

autor

Zaraï A.

• Cheikh El Arbi Tébessi University 12002 Tébessa, Algeria

Bibliografia

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