Well-posedness of a Navier–Stokes–Cahn–Hilliard system for incompressible two-phase flows with surfactant
DOI10.1142/s0218202523500173zbMath1529.35375arXiv2201.09022MaRDI QIDQ6175720
Andrea Di Primio, Hao Wu, Maurizio Grasselli
Publication date: 24 July 2023
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.09022
regularityNavier-Stokes equationswell-posednessCahn-Hilliard equationstrict separation propertytwo-phase flow with surfactant
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Capillarity (surface tension) for incompressible viscous fluids (76D45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35) Initial-boundary value problems for higher-order parabolic systems (35K52) Liquid-liquid two component flows (76T06)
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