## In this paper, we consider the initial-boundary value problem of the one-dimensional compressible viscous and heat-conductive Navier–Stokes equations with a reacting mixture.

The limits of coefficients of the species diffusion and the rate of reactant to one-dimensional compressible Navier–Stokes equations for a reacting mixture

## In this paper we consider the initial-boundary value problem to the one-dimensional compressible Navier--Stokes equations for ideal gases.

Global Well-Posedness of the One-Dimensional Compressible Navier-Stokes Equations with Constant Heat Conductivity and Nonnegative Density

Soft congestion approximation to the one-dimensional constrained Euler equations

## In this paper, a three-stage frozen startup model is developed to describe the thermal behavior of heat pipe during the startup process, and the continuum flow in the vapor space is modeled as a one-dimensional compressible flow. 在本文中，建立了一个三阶段冻结启动模型来描述热管在启动过程中的热行为，并将蒸汽空间中的连续流动建模为一维可压缩流动。

Numerical investigation on startup characteristics of high temperature heat pipe for nuclear reactor

## We also use this method to solve more complicated ADEs governing inhomogeneous transport in one-dimensional compressible flows with spatially varying diffusivity, which is beyond the capabilities of existing approaches. 我们还使用这种方法来解决更复杂的 ADE，该 ADE 控制具有空间变化扩散率的一维可压缩流中的非均匀传输，这超出了现有方法的能力。

Lie group solutions of advection-diffusion equations

## ru An exact analytical solution to the one-dimensional compressible Euler equations in the form of a nonlinear simple wave is obtained. ru 获得了非线性简单波形式的一维可压缩欧拉方程的精确解析解。

Exact solution to the main turbulence problem for a compressible medium and the universal −8/3 law turbulence spectrum of breaking waves

## This paper shows time-asymptotic nonlinear stability and existence of the viscous shock profiles to the Cauchy problem of the one-dimensional compressible planar magnetohydrodynamics system, which describes the motions of a conducting fluid in an electro-magnetohydrodynamics system. 本文展示了一维可压缩平面磁流体动力学系统的柯西问题的时间渐近非线性稳定性和粘性冲击曲线的存在，该问题描述了电磁流体动力学系统中导电流体的运动。

Asymptotic stability of viscous shock profiles for compressible planar magnetohydrodynamics system

## This paper is concerned with the global existence and large time behavior of strong solutions to the Cauchy problem of one-dimensional compressible isentropic micropolar fluid model with density-dependent viscosity and microviscosity coefficients, where the far-fields of the initial data are prescribed to be different. 本文关注具有密度相关粘度和微粘度系数的一维可压缩等熵微极流体模型的柯西问题强解的全局存在性和大时间行为，其中初始数据的远场规定为不同的。

Global stability of rarefaction waves for the 1D compressible micropolar fluid model with density-dependent viscosity and microviscosity coefficients

## Here, we consider weak solutions of one-dimensional compressible magnetohydrodynamics and demonstrate that the lack of smoothness of the fields introduces a dissipative term, named inertial dissipation, into the expression of energy conservation that is neither viscous nor resistive in nature. 在这里，我们考虑一维可压缩磁流体动力学的弱解，并证明场的缺乏平滑性在本质上既不粘性也不电阻的能量守恒表达式中引入了一个名为惯性耗散的耗散项。

Proof of the zeroth law of turbulence in one-dimensional compressible magnetohydrodynamics and shock heating.

## This paper is concerned with the Cauchy problem for the one-dimensional compressible Euler equations with critical time-dependent overdamping. 本文关注具有临界时间相关过阻尼的一维可压缩欧拉方程的柯西问题。

Optimal convergence rate to nonlinear diffusion waves for Euler equations with critical overdamping

## In this paper, we establish the global existence and uniqueness of the solution of the Cauchy problem of a one-dimensional compressible isentropic Euler system for a Chaplygin gas with large initial data in the space L loc 1. 在本文中，我们建立了空间 L loc 1 中具有大量初始数据的 Chaplygin 气体的一维可压缩等熵 Euler 系统的 Cauchy 问题解的全局存在性和唯一性。

Existence and Uniqueness of the Global L1 Solution of the Euler Equations for Chaplygin Gas

## This model is developed from the one-dimensional compressible flow of steam-water which was firstly proposed by Stoecker (1958). 该模型是由 Stoecker (1958) 首次提出的蒸汽-水的一维可压缩流动发展而来的。

One dimensional steam ejector model based on real fluid property

## This paper is devoted to studying the zero dissipation limit problem for the one-dimensional compressible Navier-Stokes equations with selected density-dependent viscosity. 本文致力于研究具有选定密度相关粘度的一维可压缩 Navier-Stokes 方程的零耗散极限问题。

Zero Dissipation Limit to Rarefaction Waves for the One-Dimensional Compressible Navier-Stokes Equations with Selected Density-Dependent Viscosity