A two-phase two-fluxes degenerate Cahn-Hilliard model as constrained Wasserstein gradient flow
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Publication:2418419
DOI10.1007/s00205-019-01369-6zbMath1459.76171arXiv1712.06446OpenAlexW2963256748WikidataQ128185942 ScholiaQ128185942MaRDI QIDQ2418419
Daniel Matthes, Flore Nabet, Clément Cancès
Publication date: 3 June 2019
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.06446
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Cites Work
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- Cahn-Hilliard and thin film equations with nonlinear mobility as gradient flows in weighted-Wasserstein metrics
- Hitchhiker's guide to the fractional Sobolev spaces
- A convergent Lagrangian discretization for a nonlinear fourth-order equation
- A new class of transport distances between measures
- A Lagrangian scheme for the solution of nonlinear diffusion equations using moving simplex meshes
- Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
- A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- Incompressible immiscible multiphase flows in porous media: a variational approach
- On fully practical finite element approximations of degenerate Cahn-Hilliard systems
- Convergence of a nonlinear entropy diminishing Control Volume Finite Element scheme for solving anisotropic degenerate parabolic equations
- A Fully Discrete Variational Scheme for Solving Nonlinear Fokker--Planck Equations in Multiple Space Dimensions
- A gradient structure for reaction–diffusion systems and for energy-drift-diffusion systems
- A MACROSCOPIC CROWD MOTION MODEL OF GRADIENT FLOW TYPE
- An augmented Lagrangian approach to Wasserstein gradient flows and applications
- Phase separation in incompressible systems
- Dynamics of fluctuations and spinodal decomposition in polymer blends
- Convergence of the Mass-Transport Steepest Descent Scheme for the Subcritical Patlak–Keller–Segel Model
- A Family of Nonlinear Fourth Order Equations of Gradient Flow Type
- The Cahn–Hilliard gradient theory for phase separation with non-smooth free energy Part II: Numerical analysis
- An error estimate for a finite volume scheme for a diffusion–convection problem on a triangular mesh
- The Variational Formulation of the Fokker--Planck Equation
- Thermodynamically driven incompressible fluid mixtures
- The Cahn–Hilliard equation with a concentration dependent mobility: motion by minus the Laplacian of the mean curvature
- On the Cahn–Hilliard Equation with Degenerate Mobility
- Finite Element Approximation of the Cahn--Hilliard Equation with Degenerate Mobility
- Finite Volume Approximation of a Degenerate Immiscible Two-Phase Flow Model of Cahn–Hilliard Type
- Mathematical study of a petroleum-engineering scheme
- Optimal Transport
- The gradient flow structure for incompressible immiscible two-phase flows in porous media
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