发表机构
School of Mathematics and Statistics, Guangxi Normal University（广西师范大学数学与统计学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究非守恒可压缩两相流模型的波传播，发现不等压力下平稳扩散波由两个不同速度的Huygens波组成，而等压时仅有一个，揭示了新现象。
AI 中文摘要
本文研究了R3中具有不等压力的非守恒可压缩两相流模型的波传播。该模型是新颖的，且从根本上区别于Liu-Wang [28]提出的经典单相可压缩Navier-Stokes方程。这项工作填补了一个重要的空白，因为先前的结果主要适用于具有特定Green函数相消的守恒或部分守恒系统。非守恒性质以及两种不同速度的Huygens波共存，要求专门的非线性耦合分析，并增加了进一步的复杂性。我们的研究揭示了在该非守恒两相模型在相等和不等界面压力下根本不同的物理行为。对于相等压力，该模型允许一个由单个Huygens波组成的平稳扩散波，类似于经典Navier-Stokes方程。与之形成鲜明对比的是，在不等压力下，平稳扩散波由两个以不同速度传播的Huygens波组成——这是经典Navier-Stokes背景下不存在的新现象。
英文摘要
This paper investigates the wave propagation for a non-conservative compressible two-fluid model with unequal pressures in R3. This model is novel and fundamentally distinct from the classical single-phase compressible Navier-Stokes equations proposed by Liu-Wang [28]. This work fills a significant gap, as prior results largely apply only to conservative or partially conservative systems with specific Green's function cancellations. The non-conservative nature and the coexistence of two distinct-speed Huygens waves demand dedicated nonlinear coupling analysis and add further complexity. Our study reveals fundamentally different physical behaviors of this non-conservative two-phase model under equal and unequal interfacial pressures. For equal pressure, the model admits a stationary diffusion wave comprising a single Huygens wave, analogous to classical Navier-Stokes equations. In sharp contrast, under unequal pressure, the stationary diffusion wave consists of two Huygens waves propagating at different speeds--a novel phenomenon absent in the classical Navier-Stokes context.
Comments32 pages
