Global existence of weak solutions to a diffuse interface model for magnetic fluids
From MaRDI portal
Publication:2025399
DOI10.1016/j.nonrwa.2020.103243zbMath1467.76069arXiv2004.09616OpenAlexW3110025886MaRDI QIDQ2025399
Anja Schlömerkemper, Martin Kalousek, Sourav Mitra
Publication date: 14 May 2021
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.09616
weak solutionincompressible Navier-Stokes equationsglobal existenceCahn-Hilliard equationsdiffuse interface modeltime discretization methodmagnetization vector
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Magnetohydrodynamics and electrohydrodynamics (76W05) Liquid-liquid two component flows (76T06)
Related Items
Existence of weak solutions to a diffuse interface model involving magnetic fluids with unmatched densities ⋮ Analysis of a diffuse interface model for two-phase magnetohydrodynamic flows ⋮ Global smooth solution to the incompressible Navier-Stokes-Landau-Lifshitz equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of weak solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities
- On energetic variational approaches in modeling the nematic liquid crystal flows
- On a hyperbolic-parabolic system arising in magnetoelasticity
- On a diffuse interface model for two-phase flows of viscous, incompressible fluids with matched densities
- Compact sets in the space \(L^ p(0,T;B)\)
- The dynamics of a two-component fluid in the presence of capillary-forces
- A density result in Sobolev spaces.
- Elliptic partial differential equations of second order
- Existence of weak solutions for a diffuse interface model for two-phase flow with surfactants
- A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method
- An abstract existence theorem for parabolic systems
- A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows
- A diffuse interface model for two-phase ferrofluid flows
- On an incompressible Navier-Stokes/Cahn-Hilliard system with degenerate mobility
- Diffuse interface model for incompressible two-phase flows with large density ratios
- Cahn-Hilliard-Navier-Stokes systems with moving contact lines
- THERMODYNAMICALLY CONSISTENT, FRAME INDIFFERENT DIFFUSE INTERFACE MODELS FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH DIFFERENT DENSITIES
- An Energetic Variational Formulation with Phase Field Methods for Interfacial Dynamics of Complex Fluids: Advantages and Challenges
- On a diffuse interface model for a two-phase flow of compressible viscous fluids
- Direct Methods in the Theory of Elliptic Equations
- Quasi–incompressible Cahn–Hilliard fluids and topological transitions
- Uniqueness of solutions for a mathematical model for magneto-viscoelastic flows
- Existence of Weak Solutions to an Evolutionary Model for Magnetoelasticity
- A diffuse-interface method for simulating two-phase flows of complex fluids
- DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
- TWO-PHASE BINARY FLUIDS AND IMMISCIBLE FLUIDS DESCRIBED BY AN ORDER PARAMETER
- Variational Principles of Micromagnetics Revisited
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Uniqueness and Regularity for the Navier--Stokes--Cahn--Hilliard System
- Decoupled Energy Stable Schemes for Phase-Field Models of Two-Phase Complex Fluids
- Nonlinear partial differential equations with applications
- Nonhomogeneous Cahn-Hilliard fluids
