期刊文献+

The Global Attractors for a Nonlinear Viscoelastic Wave Equation with Strong Damping and Linear Damping and Source Terms

The Global Attractors for a Nonlinear Viscoelastic Wave Equation with Strong Damping and Linear Damping and Source Terms
下载PDF
导出
摘要 In this paper, firstly, some priori estimates are obtained for the existence and uniqueness of solutions of a nonlinear viscoelastic wave equation with strong damping, linear damping and source terms. Then we study the global attractors of the equation. In this paper, firstly, some priori estimates are obtained for the existence and uniqueness of solutions of a nonlinear viscoelastic wave equation with strong damping, linear damping and source terms. Then we study the global attractors of the equation.
出处 《International Journal of Modern Nonlinear Theory and Application》 2015年第2期142-152,共11页 现代非线性理论与应用(英文)
关键词 Global ATTRACTORS VISCOELASTIC Equation Priori ESTIMATES Global Attractors Viscoelastic Equation Priori Estimates
  • 相关文献

参考文献2

二级参考文献59

  • 1Clements J., Existence theorems for a quasilinear evolution equation. SIAM J. Appl. Math., 1974, 26: 745-752.
  • 2Dafermos C. M., The mixed initial-boundary value problem for the equations of nonlinear one-dimensional visco-elasticity. J. Diff. Eqns., 1969, 6: 71-86.
  • 3Dafermos C. M., Asymptotic behaviour of solutions of evolution equations. Nonlinear Evolution Equations. M. G. Grandall ed., New York: Academic Press, 1977: 103-124.
  • 4Greenberg J. M., On the existence, uniqueness and stability of solutions of the equation PoXtt = E(Xx)Xxx +λXxtx. J. Math. Anal. Appl., 1969, 25(3): 575-591.
  • 5Greenberg J. M. and MacCamy R. C., On the exponential stability of solutions of E (Ux)uxx + Auxtx =putt. J. Math. Anal. Appl., 1970, 31: 406-417.
  • 6Greenberg J. M., MacCamy RI C. and Mizel V. J., On the existence, uniqueness and stability of solutions of the equation σ(Ux)Uxx+AUxtx =poutt. J. Math. Mech., 1968,17: 707-728.
  • 7Greenberg J. M., MacCamy R. C. and Mizel V. J., On the existence, uniqueness and stability of solutions of the equation σ(ux)uxx+λuxtx =poutt. J. Math. Mech., 1968,17: 707-728.
  • 8Kuttler K. and HicksD., Initial-boundary value problems for the equation utt = (o'(ux))x + (a(ux)uxt)x + f . Quart. Appl. Math., 1988, 46(3): 393-407.
  • 9Liu Y. and Liu D., Initial boundary value problem, periodic boundary problem and initial value problem of equation Utt = Uxxt+σ(Ux)x. Chin. Ann. Math., 1988, 9A: 459-470.
  • 10MacCamy R. C., Existence, uniqueness and stability of solutions of the equation utt = (σ(ux) + A(ux)uxt). Indina Uni. Math. J, 1970, 20(3): 231-238.

共引文献14

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部