Existence and Nonlinear Stability of Stationary Solutions to the Full Two-Phase Flow Model in a Half Line
Analysis of PDEs
2021-08-25 v1
Abstract
The inflow problem for the full two-phase model in a half line is investigated in this paper. The existence and uniqueness of the stationary solution is shown by applications of center manifold theory, and its nonlinear stablility of the stationary solution is established for the small perturbation.
Cite
@article{arxiv.2108.10030,
title = {Existence and Nonlinear Stability of Stationary Solutions to the Full Two-Phase Flow Model in a Half Line},
author = {Hai-Liang Li and Shuang Zhao},
journal= {arXiv preprint arXiv:2108.10030},
year = {2021}
}
Comments
15 pages. arXiv admin note: substantial text overlap with arXiv:2101.09443