Decay rates and convergence of solutions to system of one-dimensional viscoelastic model with damping

作者：Liu YH; Zhu CJ^*

来源：Acta Mathematica Scientia, 2004, 24(3): 469-484.

• viscoelastic model
• damping
• decay rate
• convergence

This paper considers the asymptotic behavior of solutions to the system of one-dimensional viscoelastic model with damping and prove that the corresponding solutions time-asymptotically behave like nonlinear diffusion wave as in [4,11]. In addition, It is also shown that the system of one-dimensional viscoelastic model with damping is a viscosity approximation of a hyperbolic conservation laws with damping.

• 出版日期2004-7
• 单位华中师范大学