20 citations · 42 across the 15 of their papers we have counts for
16 papers
--convergence of the time-splitting scheme for nonlinear Dirac equation in 1+1 dimensions
Ningning Li, Yongqian Zhang, Qin Zhao
We study the time-splitting scheme for approximating solutions to the Cauchy problem of the nonlinear Dirac equation in 1+1 dimensions. Under the assumption that the initial data f…
Hypersonic Similarity for Steady Compressible Full Euler Flows Over Two-Dimensional Lipschitz Wedges
Gui-Qiang G. Chen, Jie Kuang, Wei Xiang +1
We establish the optimal convergence rate to the hypersonic similarity law, which is also called the Mach number independence principle, for steady compressible full Euler flows ov…
Global existence theorem for the three-dimensional isentropic compressible Navier-Stokes flow in the exterior of a rotating obstacle
Tuowei Chen, Yongqian Zhang
In this paper, we consider the initial-boundary value problem of three-dimensional isentropic compressible Navier-Stokes equations with rotating effect terms in an exterior domain…
Convergence Rate of Hypersonic Similarity for Steady Potential Flows Over Two-Dimensional Lipschitz Wedge
Jie Kuang, Wei Xiang, Yongqian Zhang
This paper is devoted to establishing the convergence rate of the hypersonic similarity for the inviscid steady irrotational Euler flow over a two-dimensional Lipschitz slender wed…
Stability of Conical Shocks in the Three-Dimensional Steady Supersonic Isothermal Flows past Lipschitz Perturbed Cones
Gui-Qiang G. Chen, Jie Kuang, Yongqian Zhang
We are concerned with the structural stability of conical shocks in the three-dimensional steady supersonic flows past Lipschitz perturbed cones whose vertex angles are less than t…
Hypersonic Similarity for the Two Dimensional Steady Potential Flow with Large Data
Jie Kuang, Wei Xiang, Yongqian Zhang
In this paper, we establish the first rigorous mathematical global result on the validation of the hypersonic similarity, which is also called the Mach-number independence principl…