Homogenization of Nonlocal Navier--Stokes--Korteweg Equations for Compressible Liquid-Vapor Flow in Porous Media

DOI10.1137/19M1242434zbMath1454.76098arXiv1902.07100OpenAlexW3108399206MaRDI QIDQ5139111

Lars von Wolff, Christian Rohde

Publication date: 7 December 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.07100

zbMATH Keywords

weak solutionnonlocal Cahn-Hilliard equationconvex free energypolytropic pressure law

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Liquid-gas two-phase flows, bubbly flows (76T10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization applied to problems in fluid mechanics (76M50)

Related Items (3)

Upscaling a Navier-Stokes-Cahn-Hilliard model for two-phase porous-media flow with solute-dependent surface tension effects ⋮ Scaling effects on the periodic homogenization of a reaction-diffusion-convection problem posed in homogeneous domains connected by a thin composite layer ⋮ A relaxation model for the non-isothermal Navier-Stokes-Korteweg equations in confined domains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of global weak solutions for compressible fluid models with a capillary tensor for discontinuous interface.
• Homogenization of stationary Navier-Stokes equations in domains with tiny holes
• On the thermomechanics of interstitial working
• Non-homogeneous media and vibration theory
• Homogenization of nonstationary Navier-Stokes equations in a domain with a grained boundary
• On the derivation of the Buckley-Leverett model from the two fluid Navier-Stokes equations in a thin domain
• Homogenization of the compressible Navier-Stokes equations in domains with very tiny holes
• Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes. I: Abstract framework, a volume distribution of holes
• Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes. II: Non-critical sizes of the holes for a volume distribution and a surface distribution of holes
• Homogenization of the evolutionary Navier-Stokes system
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• Phase Segregation Dynamics in Particle Systems with Long Range Interactions II: Interface Motion
• Homogenization of the compressible Navier–Stokes equations in a porous medium
• DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
• Darcy's law for slow viscous flow past a stationary array of bubbles
• Relaxation of the Navier–Stokes–Korteweg equations for compressible two‐phase flow with phase transition
• Stability properties of the Euler–Korteweg system with nonmonotone pressures
• On local and non-local Navier-Stokes-Korteweg systems for liquid-vapour phase transitions
• On the existence of globally defined weak solutions to the Navier-Stokes equations

This page was built for publication: Homogenization of Nonlocal Navier--Stokes--Korteweg Equations for Compressible Liquid-Vapor Flow in Porous Media