Asymptotic Behavior of Global Solutions for some Nonlinear Wave Equation

2014 ◽  
Vol 638-640 ◽  
pp. 1691-1694
Author(s):  
Yong Xian Yan
Keyword(s):  
Asymptotic Behavior ◽  
Wave Equation ◽  
Boundary Value Problem ◽  
Nonlinear Wave ◽  
Nonlinear Wave Equation ◽  
Global Solutions ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Damping Term ◽  
Initial Boundary Value

In this paper we study the asymptotic behavior of the global solutions to the initial-boundary value problem of the nonlinear wave equation with damping term by applying a difference inequality.

scholarly journals Blowup of solutions of a nonlinear wave equation

2002 ◽  
Vol 2 (2) ◽  
pp. 105-108 ◽  
Author(s):  
Abbes Benaissa ◽  
Salim A. Messaoudi
Keyword(s):  
Wave Equation ◽  
Boundary Value Problem ◽  
Nonlinear Wave ◽  
Nonlinear Wave Equation ◽  
Boundary Value ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Blowup Of Solutions ◽  
Initial Boundary Value ◽  
Blowup Result

We establish a blowup result to an initial boundary value problem for the nonlinear wave equationutt−M(‖B1/2u‖ 2) Bu+kut=|u| p−2,x∈Ω,t>0.

Asymptotic Behavior of Solution for Higher-Order Wave Equation

2013 ◽  
Vol 411-414 ◽  
pp. 1419-1422
Author(s):  
Wan Zhen Zhu ◽  
Yao Jun Ye
Keyword(s):  
Asymptotic Behavior ◽  
Wave Equation ◽  
Asymptotic Stability ◽  
Boundary Value Problem ◽  
Global Solutions ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Nonlinear Damping ◽  
Initial Boundary Value ◽  
Damping And Source Terms

In this paper the asymptotic stability of global solutions to the initial-boundary value problem for some nonlinear wave equation with nonlinear damping and source terms is studied by using a difference ineauality.

Global Existence of Solutions for some Nonlinear Wave Equation

2014 ◽  
Vol 638-640 ◽  
pp. 1700-1704
Author(s):  
Yue Hu
Keyword(s):  
Wave Equation ◽  
Global Existence ◽  
Boundary Value Problem ◽  
Nonlinear Wave Equation ◽  
Existence Of Solutions ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Dissipative Term ◽  
Global Existence Of Solutions ◽  
Initial Boundary Value

In this paper, we consider the existence of global solution to the initial-boundary value problem for some hyperbolic equation with P-Laplace operator and a nonlinear dissipative term using the compactness criteria and the monotone mapping’s method.

A shock problem involving a nonlinear viscoelastic bar associated with a nonlinear boundary condition

2008 ◽  
Vol 41 (1) ◽  
Author(s):  
Nguyen Thanh Long ◽  
Vo Giang Giai ◽  
Le Xuan Truong
Keyword(s):  
Boundary Condition ◽  
Wave Equation ◽  
Boundary Value Problem ◽  
Nonlinear Wave Equation ◽  
Nonlinear Boundary ◽  
Nonlinear Boundary Condition ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Nonlinear Viscoelastic ◽  
Initial Boundary Value

AbstractWe study the initial-boundary value problem for a nonlinear wave equation given by

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