Stability of a compressible two-fluid hyperbolic-elliptic system arising in fluid mechanics

DOI10.1016/j.nonrwa.2016.03.011zbMath1375.76159OpenAlexW2323456322MaRDI QIDQ282061

Huanyao Wen, Steinar Evje

Publication date: 11 May 2016

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2016.03.011

zbMATH Keywords

stabilityexistencecapillary pressuretwo-fluid modelNavier-Stokesnon-equal pressure

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Liquid-gas two-phase flows, bubbly flows (76T10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Initial-boundary value problems for mixed-type systems of PDEs (35M33)

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Cites Work

• Unnamed Item
• Weak solutions of a two-phase Navier-Stokes model with a general slip law
• A phase decomposition approach and the Riemann problem for a model of two-phase flows
• Global weak solutions to one-dimensional non-conservative viscous compressible two-phase system
• Global solutions to a one-dimensional non-conservative two-phase model
• Global weak solutions to a generic two-fluid model
• Comparison of Roe-type methods for solving the two-fluid model with and without pressure relaxation
• A multiphase Godunov method for compressible multifluid and multiphase flows
• Hybrid flux-splitting schemes for a common two-fluid model
• Unique solvability of the initial boundary value problems for compressible viscous fluids.
• Global solutions for a coupled compressible Navier-Stokes/Allen-Cahn system in 1D
• Global well-posedness and decay rates of strong solutions to a non-conservative compressible two-fluid model
• Genuine Two-Phase Flow Dynamics with a Free Interface Separating Gas-Liquid Mixture from Gas
• On a diffuse interface model for a two-phase flow of compressible viscous fluids
• Two-phase modeling of deflagration-to-detonation transition in granular materials: A critical examination of modeling issues
• ANALYSIS OF A PHASE-FIELD MODEL FOR TWO-PHASE COMPRESSIBLE FLUIDS
• A two-phase mixture theory for the deflagration-to-detonation transition (ddt) in reactive granular materials
• Global Solutions of a Viscous Gas-Liquid Model with Unequal Fluid Velocities in a Closed Conduit
• Weakly Implicit Numerical Schemes for a Two-Fluid Model
• Computational Methods for Multiphase Flow

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