The aim of this work is to construct weak solutions for the three dimensional Vlasov-Poisson initial-boundary value problem with bounded electric field. The main in-gredient consists of estimating the change in moment...The aim of this work is to construct weak solutions for the three dimensional Vlasov-Poisson initial-boundary value problem with bounded electric field. The main in-gredient consists of estimating the change in momentum along characteristics of regular electric fields inside bounded spatial domains. As direct consequences, the propagation of the momentum moments and the existence of weak solution satisfying the balance of total energy are obtained.展开更多
For a class of mixed initial-boundary value problem for general quasilinear hyperbolic systems, this paper establishes the local exact boundary controllability with boundary controls only acting on one end. As an appl...For a class of mixed initial-boundary value problem for general quasilinear hyperbolic systems, this paper establishes the local exact boundary controllability with boundary controls only acting on one end. As an application, the authors show the local exact boundary controllability for a kind of nonlinear vibrating string problem.展开更多
In this paper we consider mainly low order symplectic (or linear symplectic)partitioned Runge-Kutta methods of one kind of Hamiltonian systems for wave equations. Stability conditions for all two-stage explicitly part...In this paper we consider mainly low order symplectic (or linear symplectic)partitioned Runge-Kutta methods of one kind of Hamiltonian systems for wave equations. Stability conditions for all two-stage explicitly partitioned Runge-Kutta methods with order 2 are disscussed. In addition some methods with low-order are applied to more general wave equations.展开更多
The finite difference method is considered for.the following initial-boundary- Value problem: where j(s), (x) and (x) are given functions; QT = [0, 1]× [0, T]. The convergence of the finite difference schemes is ...The finite difference method is considered for.the following initial-boundary- Value problem: where j(s), (x) and (x) are given functions; QT = [0, 1]× [0, T]. The convergence of the finite difference schemes is verified by discrete functional analysis methods and prior estimation techniques.展开更多
文摘The aim of this work is to construct weak solutions for the three dimensional Vlasov-Poisson initial-boundary value problem with bounded electric field. The main in-gredient consists of estimating the change in momentum along characteristics of regular electric fields inside bounded spatial domains. As direct consequences, the propagation of the momentum moments and the existence of weak solution satisfying the balance of total energy are obtained.
基金Project supported by the Special Funds forMajor State Basic Research Projects ofChina.
文摘For a class of mixed initial-boundary value problem for general quasilinear hyperbolic systems, this paper establishes the local exact boundary controllability with boundary controls only acting on one end. As an application, the authors show the local exact boundary controllability for a kind of nonlinear vibrating string problem.
文摘In this paper we consider mainly low order symplectic (or linear symplectic)partitioned Runge-Kutta methods of one kind of Hamiltonian systems for wave equations. Stability conditions for all two-stage explicitly partitioned Runge-Kutta methods with order 2 are disscussed. In addition some methods with low-order are applied to more general wave equations.
文摘The finite difference method is considered for.the following initial-boundary- Value problem: where j(s), (x) and (x) are given functions; QT = [0, 1]× [0, T]. The convergence of the finite difference schemes is verified by discrete functional analysis methods and prior estimation techniques.
