Optimal distributed control for a model of homogeneous incompressible two-phase flows

DOI10.1007/s10883-020-09500-7zbMath1462.35299OpenAlexW3045675243MaRDI QIDQ2660558

Fang Li, Bo You

Publication date: 30 March 2021

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-020-09500-7

zbMATH Keywords

adjoint state systemtwo-phase flow modeldistributed optimal controlfirst-order necessary optimality conditions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Regularity of solutions in optimal control (49N60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Infinite-dimensional random dynamical systems; stochastic equations (37L55) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for second-order parabolic systems (35K51) Liquid-liquid two component flows (76T06)

Cites Work

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• Pullback attractors for a non-autonomous homogeneous two-phase flow model
• Trajectory attractors for binary fluid mixtures in 3D
• Asymptotic behavior of a Cahn-Hilliard-Navier-Stokes system in 2D
• Longtime behavior for a model of homogeneous incompressible two-phase flows
• An analysis of a phase field model of a free boundary
• Infinite-dimensional dynamical systems in mechanics and physics.
• Optimal Distributed Control of a Nonlocal Cahn--Hilliard/Navier--Stokes System in Two Dimensions
• ANALYSIS OF A PHASE-FIELD MODEL FOR TWO-PHASE COMPRESSIBLE FLUIDS
• Optimal Boundary Control for the Evolutionary Navier--Stokes System: The Three-Dimensional Case

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