Singular limit of a Navier-Stokes system leading to a free/congested zones two-phase model

DOI10.1016/j.crma.2014.06.009zbMath1302.35293OpenAlexW2071568813MaRDI QIDQ466180

Charlotte Perrin, Ewelina Zatorska, Bresch, Didier

Publication date: 24 October 2014

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2014.06.009

zbMATH Keywords

compressible Navier-Stokes equationstwo-phase model

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Multiphase and multicomponent flows (76T99) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (15)

Weak-strong uniqueness for the compressible Navier-Stokes equations with a hard-sphere pressure law ⋮ Free/Congested Two-Phase Model from Weak Solutions to Multi-Dimensional Compressible Navier-Stokes Equations ⋮ Transport of congestion in two-phase compressible/incompressible flows ⋮ On the dynamics of floating structures ⋮ Compressible Navier-Stokes system with the hard sphere pressure law in an exterior domain ⋮ A rigorous derivation of the stationary compressible Reynolds equation via the Navier–Stokes equations ⋮ Compression effects in heterogeneous media ⋮ From short-range repulsion to Hele-Shaw problem in a model of tumor growth ⋮ Existence result for a two-dimensional system of conservation laws with unilateral constraints ⋮ Finite volume approximations of the Euler system with variable congestion ⋮ Partially congested propagation fronts in one-dimensional Navier-Stokes equations ⋮ Lorentz spaces in action on pressureless systems arising from models of collective behavior ⋮ Singular limit for the compressible Navier-Stokes equations with the hard sphere pressure law on expanding domains ⋮ On energy inequality for the problem on the evolution of two fluids of different types without surface tension ⋮ Theoretical Study of a Multidimensional Pressureless Model with Unilateral Constraint

Cites Work

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• Free/Congested Two-Phase Model from Weak Solutions to Multi-Dimensional Compressible Navier-Stokes Equations
• ANALYSIS OF A PHASE-FIELD MODEL FOR TWO-PHASE COMPRESSIBLE FLUIDS
• EXISTENCE AND WEAK STABILITY FOR A PRESSURELESS MODEL WITH UNILATERAL CONSTRAINT

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