In this paper we get one-way wave equations by using pseudo-differential operator theory,and present a set of absorbing boundary conditions based on the higher order aPProximations of oneway wave equations. An integra...In this paper we get one-way wave equations by using pseudo-differential operator theory,and present a set of absorbing boundary conditions based on the higher order aPProximations of oneway wave equations. An integral identity is the key point of the approximation. Also, we have provedthe well-posedness of the initial boundary value Problems related to our absorbing boundary conditionsconstructed in this artical.展开更多
The authors study the large-time behaviour of global smooth solutions to initial-boundary value problems for the system of one-dimensional nonlinear thermoviscoelasticity. It is found that the solution may possess pha...The authors study the large-time behaviour of global smooth solutions to initial-boundary value problems for the system of one-dimensional nonlinear thermoviscoelasticity. It is found that the solution may possess phase transition phenomena when the material is not monotone, and the solution may decay to a stable state for the monotone case.展开更多
文摘In this paper we get one-way wave equations by using pseudo-differential operator theory,and present a set of absorbing boundary conditions based on the higher order aPProximations of oneway wave equations. An integral identity is the key point of the approximation. Also, we have provedthe well-posedness of the initial boundary value Problems related to our absorbing boundary conditionsconstructed in this artical.
文摘The authors study the large-time behaviour of global smooth solutions to initial-boundary value problems for the system of one-dimensional nonlinear thermoviscoelasticity. It is found that the solution may possess phase transition phenomena when the material is not monotone, and the solution may decay to a stable state for the monotone case.
