7 papers
Global Dynamics of a Predator-Prey Model with State-Dependent Maturation-Delay
Qianqian Zhang, Yuan Yuan, Yunfei Lv +1
In this paper, a stage structured predator-prey model with general nonlinear type of functional response is established and analyzed. The state-dependent time delay (hereafter SDTD…
Periodic perturbations of a composite wave of two viscous shocks for 1-D full compressible Navier-Stokes equations
Qian Yuan, Yuan Yuan
This paper is concerned with the asymptotic stability of a composite wave of two viscous shocks under spatially periodic perturbations for the 1-D full compressible Navier-Stokes e…
On Riemann solutions under different initial periodic perturbations at two infinities for 1-d scalar convex conservation laws
Qian Yuan, Yuan Yuan
This paper is concerned with the large time behaviors of the entropy solutions to one-dimensional scalar convex conservation laws, of which the initial data are assumed to approach…
Asymptotic stability of shock profiles and rarefaction waves under periodic perturbations for 1-d convex scalar viscous conservation laws
Zhouping Xin, Qian Yuan, Yuan Yuan
This paper studies the asymptotic stability of shock profiles and rarefaction waves under space-periodic perturbations for one-dimensional convex scalar viscous conservation laws.…
On the self-similar solution to full compressible Navier-Stokes equations without heat conductivity
Xin Liu, Yuan Yuan
In this work, we establish a class of globally defined, large solutions to the free boundary problem of compressible Navier-Stokes equations with constant shear viscosity and vanis…
Asymptotic stability of shock waves and rarefaction waves under periodic perturbations for 1-D convex scalar conservation laws
Zhouping Xin, Qian Yuan, Yuan Yuan
In this paper we study large time behaviors toward shock waves and rarefaction waves under periodic perturbations for 1-D convex scalar conservation laws. The asymptotic stabilitie…