Abstract
This work is devoted to the study of a nonlinear viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping. We show that the weak dissipation produced by 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.
| Original language | English |
|---|---|
| Pages (from-to) | 67-90 |
| Number of pages | 24 |
| Journal | Demonstratio Mathematica |
| Volume | 44 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2011 |
Keywords
- Balakrishnan-Taylor damping
- Exponential stability
- Memory term
- Relaxation function
- Viscoelasticity
ASJC Scopus subject areas
- General Mathematics
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