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On the existence of weak solutions to non-local Cahn-Hilliard/Navier-Stokes equations and its local asymptotics

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Publication:2023523
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DOI10.4310/CMS.2020.V18.N8.A2zbMath1464.35234MaRDI QIDQ2023523

Zhilei Liang

Publication date: 3 May 2021

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)


zbMATH Keywords

weak solutionsnon-local modellocal asymptoticsCahn-Hilliard/Navier-Stokes


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (45K05) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Weak solutions to PDEs (35D30) Higher-order parabolic equations (35K25) Integro-partial differential equations (35R09)


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Convergence of a nonlocal to a local diffuse interface model for two-phase flow with unmatched densities







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