Asymptotic stability of combination of viscous contact wave with rarefaction waves for one-dimensional compressible Navier–Stokes system

F Huang, J Li, A Matsumura - Archive for rational mechanics and analysis, 2010 - Springer
We are concerned with the large-time behavior of solutions of the Cauchy problem to the
one-dimensional compressible Navier–Stokes system for ideal polytropic fluids, where the …

Stability of contact discontinuities for the 1-D compressible Navier-Stokes equations

F Huang, A Matsumura, Z Xin - Archive for rational mechanics and …, 2006 - Springer
In this paper, we study the large-time asymptotic behavior of solutions of the one-
dimensional compressible Navier-Stokes system toward a contact discontinuity, which is …

Stability of a composite wave of two viscous shock waves for the full compressible Navier-Stokes equation

F Huang, A Matsumura - Communications in Mathematical Physics, 2009 - Springer
In this paper we investigate the asymptotic stability of a composite wave consisting of two
viscous shock waves for the full compressible Navier-Stokes equation. By introducing a new …

Asymptotic stability of planar rarefaction waves under periodic perturbations for 3-d Navier-Stokes equations

F Huang, L Xu, Q Yuan - Advances in Mathematics, 2022 - Elsevier
In this paper, we study a Cauchy problem for the 3-d compressible isentropic Navier-Stokes
equations, in which the initial data is a 3-d periodic perturbation around a planar rarefaction …

Time-asymptotic stability of generic Riemann solutions for compressible Navier-Stokes-Fourier equations

MJ Kang, A Vasseur, Y Wang - arXiv preprint arXiv:2306.05604, 2023 - arxiv.org
We establish the time-asymptotic stability of solutions to the one-dimensional compressible
Navier-Stokes-Fourier equations, with initial data perturbed from Riemann data that forms a …

Fluid dynamic limit to the Riemann solutions of Euler equations: I. Superposition of rarefaction waves and contact discontinuity

F Huang, Y Wang, T Yang - arXiv preprint arXiv:1011.1990, 2010 - arxiv.org
Fluid dynamic limit to compressible Euler equations from compressible Navier-Stokes
equations and Boltzmann equation has been an active topic with limited success so far. In …

Stability of boundary layer and rarefaction wave to an outflow problem for compressible Navier–Stokes equations under large perturbation

F Huang, X Qin - Journal of Differential Equations, 2009 - Elsevier
In this paper, we investigate the large-time behavior of solutions to an outflow problem for
compressible Navier–Stokes equations. In 2003, Kawashima, Nishibata and Zhu [S …

Convergence to rarefaction waves for the nonlinear Boltzmann equation and compressible Navier–Stokes equations

Z Xin, H Zeng - Journal of Differential Equations, 2010 - Elsevier
The main purpose of this paper is to study the asymptotic equivalence of the Boltzmann
equation for the hard-sphere collision model to its corresponding Euler equations of …

The limit of the Boltzmann equation to the Euler equations for Riemann problems

F Huang, Y Wang, Y Wang, T Yang - SIAM Journal on Mathematical Analysis, 2013 - SIAM
The convergence of the Boltzmann equation to the compressible Euler equations when the
Knudsen number tends to zero has been a long-standing open problem in kinetic theory. In …

Study on static performance of gas-lubricated thrust bearing based on multi-microporous stainless steel plate

D Liuyang, X Mingming - Journal of the Brazilian Society of Mechanical …, 2021 - Springer
A new type of multi-microporous stainless steel plate has been developed, and it has a lot of
interconnected micropores on its surface and inside. The test results show that the pore size …