Regularity and long-time behavior for a thermodynamically consistent model for complex fluids in two space dimensions

DOI10.1512/iumj.2019.68.7788zbMath1439.35395arXiv1708.00923OpenAlexW2982435421WikidataQ126857065 ScholiaQ126857065MaRDI QIDQ5208880

Michela Eleuteri, Stefania Gatti, Giulio Schimperna

Publication date: 22 January 2020

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.00923

zbMATH Keywords

Cahn-Hilliard equationattractorNavier-Stokes equationtwo-phase fluidnon-isothermal model

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Stefan problems, phase changes, etc. (80A22) Liquid-gas two-phase flows, bubbly flows (76T10) Higher-order parabolic equations (35K25) Strong solutions to PDEs (35D35)

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