Blow-up and global existence for solution of quasilinear viscoelastic wave equation with strong damping and source term
作者: Jianghao HaoHaiying Wei
作者单位: 1Shanxi University
刊名: Boundary Value Problems, 2017, Vol.2017 (1)
来源数据库: Springer Nature Journal
DOI: 10.1186/s13661-017-0796-7
关键词: Viscoelasticity wave equationStrong dampingBlow-upGlobal existence
原始语种摘要: In this paper we consider a quasilinear viscoelastic wave equation with initial-boundary conditions, strong damping and source term. Under suitable assumptions on the initial data and the relaxation function, we establish a blow-up result of a solution for negative initial energy and some positive initial energy if the influence of the source term is greater than the dissipation. We show that the solution exists globally for any initial data if the influence of dissipation is greater than the source term.
全文获取路径: Springer Nature  (合作)
影响因子:0.922 (2012)

  • equation 方程
  • solution 溶液
  • initial 开首字母
  • source 
  • viscoelastic 粘弹性的
  • existence 存在
  • greater 较大
  • suitable 合适的
  • quasilinear 准线性的
  • global 球状的