Blow-up of arbitrarily positive initial energy solutions for a viscoelastic wave system with nonlinear damping and source terms
Abstract This work is concerned with the Dirichlet initial boundary problem for a semilinear viscoelastic wave system with nonlinear weak damping and source terms. For nonincreasing positive functions g and h, we show the finite time blow-up of some solutions whose initial data have arbitrarily high...
Main Authors: | Yuanzhang Zhao, Qingping Wang |
---|---|
Format: | Article |
Language: | English |
Published: |
SpringerOpen
2018-03-01
|
Series: | Boundary Value Problems |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13661-018-0951-9 |
Similar Items
-
Blow-up for the sixth-order multidimensional generalized Boussinesq equation with arbitrarily high initial energy
by: Jianghao Hao, et al.
Published: (2019-11-01) -
On decay and blow-up of solutions for a system of viscoelastic equations with weak damping and source terms
by: Luofei He
Published: (2019-07-01) -
Lower bounds for the blow-up time to a nonlinear viscoelastic wave equation with strong damping
by: Xiaoming Peng, et al.
Published: (2018-11-01) -
General decay and blow-up of solutions for a nonlinear viscoelastic wave equation with strong damping
by: Qian Li, et al.
Published: (2018-09-01) -
Local existence and blow-up of solutions for coupled viscoelastic wave equations with degenerate damping terms
by: Pişkin Erhan, et al.
Published: (2020-01-01)