We develop an efficient numerical method for studying the existence and non-existence of global solutions to the initial-boundary value problem {gather*} u_{tt}=u_{xx}quad 00, -u_{x}(0,t)=h(u(0,t)) quad t>0, u(x,0)=f(x),quad u_{t}(x,0)=g(x) quad 0<x<infty. end{gather*} The results by this numerical method corroborate the theory presented in cite{AD}. Furthermore, they suggest that blow-up can occur for more general nonlinearities $h(u)$ with weaker conditions on the initial data $f$ and $g$
This paper is concerned with the initial boundary value problem of a class of nonlinear wave equatio...
This paper is concerned with the initial boundary value problem of a class of nonlinear wave equatio...
This paper is concerned with the initial boundary value problem of a class of nonlinear wave equatio...
We establish a blowup result to an initial boundary value problem for the nonlinear wave equation ut...
We establish a blowup result to an initial boundary value problem for the nonlinear wave equation ut...
We establish a blowup result to an initial boundary value problem for the nonlinear wave equation ut...
We establish a blowup result to an initial boundary value problem for the nonlinear wave equation ut...
We study the initial-boundary value problem for the nonlinear wave equations with nonlinear dissipat...
Proceedings, pp. 572—576 In this work, we study the blow up of solutions to the initial boundary val...
AbstractThe paper studies the global existence, asymptotic behavior and blowup of solutions to the i...
A variety of numerical methods are applied to solving the wave equations u_tt = u_xx and u_tt = u_xx...
We study the initial-boundary value problem for a system of nonlinear wave equations, involving non...
In this dissertation, we consider two initial-boundary value problems for nonlinear wave equations. ...
In this dissertation, we consider two initial-boundary value problems for nonlinear wave equations. ...
In this dissertation, we consider two initial-boundary value problems for nonlinear wave equations. ...
This paper is concerned with the initial boundary value problem of a class of nonlinear wave equatio...
This paper is concerned with the initial boundary value problem of a class of nonlinear wave equatio...
This paper is concerned with the initial boundary value problem of a class of nonlinear wave equatio...
We establish a blowup result to an initial boundary value problem for the nonlinear wave equation ut...
We establish a blowup result to an initial boundary value problem for the nonlinear wave equation ut...
We establish a blowup result to an initial boundary value problem for the nonlinear wave equation ut...
We establish a blowup result to an initial boundary value problem for the nonlinear wave equation ut...
We study the initial-boundary value problem for the nonlinear wave equations with nonlinear dissipat...
Proceedings, pp. 572—576 In this work, we study the blow up of solutions to the initial boundary val...
AbstractThe paper studies the global existence, asymptotic behavior and blowup of solutions to the i...
A variety of numerical methods are applied to solving the wave equations u_tt = u_xx and u_tt = u_xx...
We study the initial-boundary value problem for a system of nonlinear wave equations, involving non...
In this dissertation, we consider two initial-boundary value problems for nonlinear wave equations. ...
In this dissertation, we consider two initial-boundary value problems for nonlinear wave equations. ...
In this dissertation, we consider two initial-boundary value problems for nonlinear wave equations. ...
This paper is concerned with the initial boundary value problem of a class of nonlinear wave equatio...
This paper is concerned with the initial boundary value problem of a class of nonlinear wave equatio...
This paper is concerned with the initial boundary value problem of a class of nonlinear wave equatio...