The Sharp Interface Limit of a Navier–Stokes/Allen–Cahn System with Constant Mobility: Convergence Rates by a Relative Energy Approach (Q6049473)

scientific article; zbMATH DE number 7750775

Language	Label	Description	Also known as
English	The Sharp Interface Limit of a Navier–Stokes/Allen–Cahn System with Constant Mobility: Convergence Rates by a Relative Energy Approach	scientific article; zbMATH DE number 7750775

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instance of

scholarly article

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title

The Sharp Interface Limit of a Navier–Stokes/Allen–Cahn System with Constant Mobility: Convergence Rates by a Relative Energy Approach (English)

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published in

SIAM Journal on Mathematical Analysis

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publication date

17 October 2023

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full work available at URL

https://arxiv.org/abs/2201.09423

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zbMATH Keywords

Allen-Cahn equation

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MaRDI profile type

MaRDI publication profile

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cites work

(Non)-convergence of solutions of the convective Allen-Cahn equation

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Sharp Interface Limit for a Navier–Stokes/Allen–Cahn System with Different Viscosities

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Sharp interface limit of a Stokes/Cahn-Hilliard system. II: Approximate solutions

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Well-posedness of a Navier-Stokes/mean curvature flow system

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Convergence of the Allen-Cahn equation to the mean curvature flow with \(90^\circ\)-contact angle in 2D

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Convergence of the Allen--Cahn Equation with a Nonlinear Robin Boundary Condition to Mean Curvature Flow with Contact Angle Close to 90°

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Existence of weak solutions for a non-classical sharp interface model for a two-phase flow of viscous, incompressible fluids

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Well-posedness and qualitative behaviour of solutions for a two-phase Navier-Stokes-Mullins-Sekerka system

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A geometric approach to front propagation problems in bounded domains with Neumann-type boundary conditions

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Global asymptotic limit of solutions of the Cahn-Hilliard equation

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Geometrical Evolution of Developed Interfaces

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Phase transitions and generalized motion by mean curvature

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Weak-strong uniqueness for the Navier-Stokes equation for two fluids with surface tension

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Convergence Rates of the Allen--Cahn Equation to Mean Curvature Flow: A Short Proof Based on Relative Entropies

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Longtime behavior for a model of homogeneous incompressible two-phase flows

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TWO-PHASE BINARY FLUIDS AND IMMISCIBLE FLUIDS DESCRIBED BY AN ORDER PARAMETER

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Weak-strong uniqueness for the mean curvature flow of double bubbles

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Weak-strong uniqueness for the Navier-Stokes equation for two fluids with ninety degree contact angle and same viscosities

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Convergence rates for the Allen-Cahn equation with boundary contact energy: the non-perturbative regime

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Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature

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Two-phase incompressible flows with variable density: an energetic variational approach

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Convergence of the Allen-Cahn equation with a zero Neumann boundary condition on non-convex domains

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Generalized motion by mean curvature with Neumann conditions and the Allen-Cahn model for phase transitions

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Qualitative behaviour of solutions for the two-phase Navier-Stokes equations with surface tension

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The Hele–Shaw flow as the sharp interface limit of the Cahn–Hilliard equation with disparate mobilities

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Nematic-isotropic phase transition in liquid crystals: a variational derivation of effective geometric motions

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Convergence of the Allen‐Cahn Equation to Multiphase Mean Curvature Flow

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A Gamma-convergence approach to the Cahn-Hilliard equation

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Nonparabolic dissipative systems modeling the flow of liquid crystals

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A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method

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Convergence of the Allen--Cahn Equation with Neumann Boundary Conditions

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The Allen-Cahn action functional in higher dimensions

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Gamma-convergence of gradient flows with applications to Ginzburg-Landau

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Gamma-convergence of gradient flows on Hilbert and metric spaces and applications

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On a resolvent estimate of the interface problem for the Stokes system in a bounded domain

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:6049473