29 citations · 45 across the 10 of their papers we have counts for
10 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…
Transonic Shocks for 2-D Steady Exothermically Reacting Euler Flows in a Finite Nozzle
Beixiang Fang, Piye Sun, Qin Zhao
This paper concerns the existence of transonic shocks for steady exothermically reacting Euler flows in an almost flat nozzle with the small rate of the exothermic reaction. One of…
High Mach number limit of one-dimensional piston problem for non-isentropic compressible Euler equations: Polytropic gas
Aifang Qu, Hairong Yuan, Qin Zhao
We study high Mach number limit of the one dimensional piston problem for the full compressible Euler equations of polytropic gas, for both cases that the piston rushes into or rec…
Hypersonic limit of two-dimensional steady compressible Euler flows passing a straight wedge
Aifang Qu, Hairong Yuan, Qin Zhao
We formulated a problem on hypersonic limit of two-dimensional steady non-isentropic compressible Euler flows passing a straight wedge. It turns out that Mach number of the upcomin…
Initial boundary value problem for nonlinear Dirac equation of Gross-Neveu type in dimensions
Yongqian Zhang, Qin Zhao
This paper studies an initial boundary value problem for a class of nonlinear Dirac equations with cubic terms and moving boundary. For the initial data with bounded norm and…
Stabilization effect of frictions for transonic shocks in steady compressible Euler flows passing three-dimensional ducts
Hairong Yuan, Qin Zhao
Transonic shocks play a pivotal role in designation of supersonic inlets and ramjets. For the three-dimensional steady non-isentropic compressible Euler system with frictions, we h…
Subsonic flows passing a duct for three-dimensional steady compressible Euler system with friction
Hairong Yuan, Qin Zhao
For the three-dimensional steady non-isentropic compressible Euler system with friction, we show existence of a class of symmetric subsonic, supersonic and transonic-shock solution…
Two-dimensional steady supersonic exothermically reacting Euler flows with strong contact discontinuity over Lipschitz wall
Wei Xiang, Yongqian Zhang, Qin Zhao
In this paper, we established the global existence of supersonic entropy solutions with a strong contact discontinuity over Lipschitz wall governed by the two-dimensional steady ex…
Large time behavior of solution to nonlinear Dirac equation in dimensions
Yongqian Zhang, Qin Zhao
This paper studies the large time behavior of solution for a class of nonlinear massless Dirac equations in . It is shown that the solution will tend to travelling wave so…
Global solution to nonlinear Dirac equation for Gross-Neveu model in dimensions
Yongqian Zhang, Qin Zhao
This paper studies a class of nonlinear Dirac equations with cubic terms in , which include the equations for the massive Thirring model and the massive Gross-Neveu model.…