| Volume 9, Number 6, 2019, Pages 2318-2332 DOI：10.11948/20190085 |
| Dynamic properties for nonlinear viscoelastic Kirchhoff-type equation with acoustic control boundary conditions II |
| Fushan Li,Shuai Xi,Ke Xu,Xiaomin Xue |
| Keywords:Kirchhoff-type equation, acoustic boundary condition, blow-up. |
| Abstract: |
| In this paper, we consider the nonlinear viscoelastic Kirchhoff-type equation with initial conditions and acoustic boundary conditions. Under suitable conditions on the initial data, the relaxation function $h(\cdot)$ and $M(\cdot)$, we prove that the solution blows up in finite time and give the upper bound of the blow-up time $T^*$. |
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