paper

Existence and Nonlinear Stability of Stationary Solutions to the Full Two-Phase Flow Model in a Half Line

arXiv:2108.10030 · doi:10.1016/j.aml.2021.107039

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.

15 pages. arXiv admin note: substantial text overlap with arXiv:2101.09443