25 citations · 39 across the 8 of their papers we have counts for
8 papers
Asymptotic stability of Landau solutions to Navier-Stokes system under -perturbations
Yanyan Li, Jingjing Zhang, Ting Zhang
In this paper, we show that Landau solutions to the Navier-Stokes system are asymptotically stable under -perturbations. We give the local well-posedness of solutions to the p…
Classification of blow-up and global existence of solutions to an initial problem
Bin Guo, Jingjing Zhang, Menglan Liao
The aim of this paper is to apply the modified potential well method and some new differential inequalities to study the asymptotic behavior of solutions to the initial homogeneous…
Symmetric integrators based on continuous-stage Runge-Kutta-Nystrom methods for reversible systems
Wensheng Tang, Jingjing Zhang
In this paper, we study symmetric integrators for solving second-order ordinary differential equations on the basis of the notion of continuous-stage Runge-Kutta-Nystrom methods. T…
Stochastic K-symplectic integrators for stochastic non-canonical Hamiltonian systems and applications to the Lotka--Volterra model
Jialin Hong, Lihai Ji, Xu Wang +1
We give a theoretical framework of stochastic non-canonical Hamiltonian systems as well as their modified symplectic structure which is named stochastic K-symplectic structure. The…
Symplecticity-preserving continuous-stage Runge-Kutta-Nyström methods
Wensheng Tang, Jingjing Zhang
We develop continuous-stage Runge-Kutta-Nyström (csRKN) methods for solving second order ordinary differential equations (ODEs) in this paper. The second order ODEs are commonly en…
Stochastic symplectic Runge-Kutta methods for the strong approximation of Hamiltonian systems with additive noise
Weien Zhou, Jingjing Zhang, Jialin Hong +1
In this paper, we construct stochastic symplectic Runge--Kutta (SSRK) methods of high strong order for Hamiltonian systems with additive noise. By means of colored rooted tree theo…
High order symplectic integrators based on continuous-stage Runge-Kutta Nystrom methods
Wensheng Tang, Yajuan Sun, Jingjing Zhang
On the basis of the previous work by Tang \& Zhang (Appl. Math. Comput. 323, 2018, p. 204--219), in this paper we present a more effective way to construct high-order symplectic in…
Discrete Hamiltonian Variational Integrators
Melvin Leok, Jingjing Zhang
We consider the continuous and discrete-time Hamilton's variational principle on phase space, and characterize the exact discrete Hamiltonian which provides an exact correspondence…