Existence and nonlinear stability of stationary solutions to the full two-phase flow model in a half line

DOI10.1016/j.aml.2021.107039zbMath1466.35297arXiv2108.10030OpenAlexW3122365962MaRDI QIDQ2021492

Shuang Zhao, Hai-liang Li

Publication date: 27 April 2021

Published in: Applied Mathematics Letters, Communications in Mathematical Research (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.10030

zbMATH Keywords

two-phase flownonlinear stabilitystationary solutioninflow problemoutflow problemfull two-phase flow model

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Liquid-gas two-phase flows, bubbly flows (76T10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Compressible Navier-Stokes equations (76N06) Liquid-liquid two component flows (76T06)

Related Items (4)

Global Existence and Optimal Time-Decay Rates of the Compressible Navier–Stokes–Euler System ⋮ Recent progress on outflow/inflow problem for viscous multi-phase flow ⋮ Nonlinear stability of planar stationary solutions to the viscous two-phase flow model in \(\mathbb{R}_+^3\) ⋮ Existence and nonlinear stability of steady-states to outflow problem for the full two-phase flow

Cites Work

• Global solutions to a one-dimensional non-conservative two-phase model
• Applications of centre manifold theory
• STATIONARY WAVE ASSOCIATED WITH AN INFLOW PROBLEM IN THE HALF LINE FOR VISCOUS HEAT-CONDUCTIVE GAS
• Well-Posedness for a Multidimensional Viscous Liquid-Gas Two-Phase Flow Model
• Unnamed Item

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