On micro–macro-models for two-phase flow with dilute polymeric solutions — modeling and analysis

DOI10.1142/S0218202516500196zbMath1334.35233MaRDI QIDQ2799316

Stefan Metzger, Günther Grün

Publication date: 8 April 2016

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsFokker-Planck equationtwo-phase flowCahn-Hilliard equationexistence of weak solutionsfinitely extensible nonlinear elasticpolymeric flow models

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Statistical mechanics of polymers (82D60) Multiphase and multicomponent flows (76T99) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (4)

Global existence of weak solutions to viscoelastic phase separation: part II. Degenerate case ⋮ On convergent schemes for a two-phase Oldroyd-B type model with variable polymer density ⋮ Existence of global weak solutions to an inhomogeneous Doi model for active liquid crystals ⋮ Micro-Macro-Models for Two-Phase Flow of Dilute Polymeric Solutions: Macroscopic Limit, Analysis, and Numerics

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