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

DOI10.1007/s42985-021-00140-5OpenAlexW3132668627WikidataQ114216471 ScholiaQ114216471MaRDI QIDQ2063959

Helmut Abels

Publication date: 3 January 2022

Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.10057

zbMATH Keywords

two-phase flowAllen-Cahn equationdiffuse interface modelsharp interface limit

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Multiphase and multicomponent flows (76T99) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45)

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Cites Work

• On sharp interface limits for diffuse interface models for two-phase flows
• Two-phase incompressible flows with variable density: an energetic variational approach
• Sharp interface limit for a Stokes/Allen-Cahn system
• Longtime behavior for a model of homogeneous incompressible two-phase flows
• On a diffuse interface model for two-phase flows of viscous, incompressible fluids with matched densities
• THERMODYNAMICALLY CONSISTENT, FRAME INDIFFERENT DIFFUSE INTERFACE MODELS FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH DIFFERENT DENSITIES
• TWO-PHASE BINARY FLUIDS AND IMMISCIBLE FLUIDS DESCRIBED BY AN ORDER PARAMETER
• Nonconvergence of the Capillary Stress Functional for Solutions of the Convective Cahn-Hilliard Equation
• Analysis 2

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