Global existence and blow-up of solutions for a system of nonlinear viscoelastic wave equations with damping and source |
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| Authors: | Xiaosen Han Mingxin Wang |
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| Affiliation: | aCollege of Mathematics and Information Science, Henan University, Kaifeng 475001, China;bScience Research Center, Harbin Institute of Technology, Harbin 150080, China;cDepartment of Mathematics, Southeast University, Nanjing 210018, China |
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| Abstract: | In this paper we investigate the global existence and finite time blow-up of solutions to the system of nonlinear viscoelastic wave equations in Ω×(0,T) with initial and Dirichlet boundary conditions, where Ω is a bounded domain in  . Under suitable assumptions on the functions gi( ),  , the initial data and the parameters in the equations, we establish several results concerning local existence, global existence, uniqueness and finite time blow-up property. |
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| Keywords: | Viscoelastic wave equations Local existence Global existence Blow-up |
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