摘要
本文研究可压缩Navier-Stokes/Navier-Stokes方程组的内流问题,该方程组由两个等熵可压缩Navier-Stokes方程组通过拖拽力(drag force)的作用相互耦合而成.当初值是关于稳态解和稀疏波叠加构成的复合波的小扰动时,本文证明该内流问题存在唯一的整体强解,且该方程组的强解长时间渐近收敛至上述复合波.
In this paper,we investigate the inflow problem of the Navier-Stokes/Navier-Stokes system for the two-phaseflow motion which consists of two compressible isentropic Navier-Stokes equations coupled with each other through the relaxation drag force.The existence and nonlinear stability of the superposition of the stationary solution and a rarefaction wave are established under small initial perturbation and small strength of the stationary solution,while the strength of the rarefaction wave can be large.
作者
李海梁
张越
赵爽
Hai-Liang Li;Yue Zhang;Shuang Zhao
出处
《中国科学:数学》
北大核心
2025年第3期667-684,共18页
Scientia Sinica:Mathematica
基金
国家自然科学基金(批准号:11931010,12226326和12226327)
中国博士后科学基金(批准号:2023M740335)资助项目。
关键词
两相流模型
内流问题
稳态解
稀疏波
非线性稳定性
two-phaseflow model
inflow problem
stationary solution
rarefaction wave
nonlinear stability
