Large-Time Behaviors of Solutions to an Inflow Problem in the Half Space for a One-Dimensional System¶of Compressible Viscous Gas
Large-Time Behaviors of Solutions to an Inflow Problem in the Half Space for a One-Dimensional System¶of Compressible Viscous Gas
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DOI：
10.1007/s002200100517
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发表时间：
2001-09
影响因子：
2.4
通讯作者：
A. Matsumura;K. Nishihara
中科院分区：
文献类型：
--
作者：
A. Matsumura;K. Nishihara
本文研究了半直线R ~+=（0，+∞）上一维可压正压流的“入流问题”。不仅经典波，而且新的波，这是所谓的“边界层解决方案”，出现。[A. Matsumura，可压缩粘性气体一维等熵模型系统的半空间中的流入和流出问题，出现在IMS力学微分方程会议论文集，香港，1999年]。本文给出了边界层解以及边界层解与稀疏波叠加的稳定性定理的严格证明。
The “inflow problem” for a one-dimensional compressible barotropic flow on the half-lineR+= (0,+∞) is investigated. Not only classical waves but also the new wave, which is called the “boundary layer solution”, arise. Large time behaviors of the solutions to be expected have been classified in terms of the boundary values by [A. Matsumura, Inflow and outflow problems in the half space for a one-dimensional isentropic model system of compressible viscous gas, to appear in Proceedings of IMS Conference on Differential Equations from Mechanics, Hong Kong, 1999]. In this paper we give the rigorous proofs of the stability theorems on both the boundary layer solution and a superposition of the boundary layer solution and the rarefaction wave.