Multi-component conserved Allen-Cahn equations
DOI10.4171/ifb/513MaRDI QIDQ6619390
Maurizio Grasselli, Andrea Poiatti
Publication date: 15 October 2024
Published in: Interfaces and Free Boundaries (Search for Journal in Brave)
well-posednessglobal attractorsglobal solutionsconvergence to equilibriumexponential attractorsDe Giorgi iterationstrict separation propertyconserved Allen-Cahn equations
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Semilinear parabolic equations (35K58) Pattern formations in context of PDEs (35B36) Initial-boundary value problems for higher-order parabolic systems (35K52)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mass conserving Allen-Cahn equation and volume preserving mean curvature flow
- Degenerate parabolic equations
- On a diffuse interface model for two-phase flows of viscous, incompressible fluids with matched densities
- Infinite-dimensional dynamical systems in mechanics and physics.
- On a Cahn--Hilliard model for phase separation with elastic misfit
- The nonlocal Cahn-Hilliard equation with singular potential: well-posedness, regularity and strict separation property
- A fully-discrete decoupled finite element method for the conserved Allen-Cahn type phase-field model of three-phase fluid flow system
- A novel fully-decoupled, linear, and unconditionally energy-stable scheme of the conserved Allen-Cahn phase-field model of a two-phase incompressible flow system with variable density and viscosity
- On the mass-conserving Allen-Cahn approximation for incompressible binary fluids
- Reaction-diffusion systems with supercritical nonlinearities revisited
- Layered solutions to the vector Allen-Cahn equation in \(\mathbb{R}^2\). Minimizers and heteroclinic connections
- Long time behavior of solutions to the Caginalp system with singular potential
- Nonlocal Allen-Cahn systems: analysis and a primal-dual active set method
- ALLEN–CAHN SYSTEMS WITH VOLUME CONSTRAINTS
- Existence of a solution to a vector-valued Allen-Cahn equation with a three well potential
- Nonlocal reaction—diffusion equations and nucleation
- Volume-Preserving Mean Curvature Flow as a Limit of a Nonlocal Ginzburg-Landau Equation
- The volume-preserving motion by mean curvature as an asymptotic limit of reaction-diffusion equations
- Efficient, second-order in time, and energy stable scheme for a new hydrodynamically coupled three components volume-conserved Allen–Cahn phase-field model
- The Cahn–Hilliard Equation: Recent Advances and Applications
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Convergence of the scalar- and vector-valued Allen–Cahn equation to mean curvature flow with 90°-contact angle in higher dimensions, part I: Convergence result
- The separation property for 2D Cahn-Hilliard equations: local, nonlocal and fractional energy cases
- Allen-Cahn-Navier-Stokes-Voigt systems with moving contact lines
- Multi-component Cahn-Hilliard systems with singular potentials: theoretical results
- Matrix-valued Allen-Cahn equation and the Keller-Rubinstein-Sternberg problem
- Robust Multigrid Methods for Vector-valued Allen–Cahn Equations with Logarithmic Free Energy
Related Items (2)
This page was built for publication: Multi-component conserved Allen-Cahn equations
