1 citations · 2 across the 11 of their papers we have counts for
11 papers
Expanding solutions to the compressible Navier-Stokes equations with degenerate viscosities in spherical symmetry: global existence and inviscid limit
Shuying Hu, Zhouping Xin, Yuan Yuan
This paper is devoted to studying the strong solutions to the vacuum free boundary problem for the isentropic compressible Navier-Stokes equations with density-dependent viscositie…
Asymptotic stability of shock profiles and rarefaction waves to the Navier-Stokes-Poisson system under space-periodic perturbations
Yeping Li, Yu Mei, Yuan Yuan
This paper concerns with the large-time behaviors of the viscous shock profile and rarefaction wave under initial perturbations which tend to space-periodic functions at infinities…
Immediate blowup of entropy-bounded classical solutions to the vacuum free boundary problem of non-isentropic compressible Navier--Stokes equations
Xin Liu, Yuan Yuan
This paper considers the immediate blowup of entropy-bounded classical solutions to the vacuum free boundary problem of non-isentropic compressible Navier-Stokes equations. The vis…
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…
Local existence and uniqueness of strong solutions to the free boundary problem of the full compressible Navier-Stokes equations in 3D
Xin Liu, Yuan Yuan
In this paper we establish the local-in-time existence and uniqueness of strong solutions to the free boundary problem of the full compressible Navier-Stokes equations in three-dim…
Variational rotating solutions to non-isentropic Euler-Poisson equations with prescribed total mass
Yuan Yuan
This paper proves the existence of variational rotating solutions to the compressible non-isentropic Euler-Poisson equations with prescribed total mass. This extends the result of…