Thermodynamically consistent higher order phase field Navier-Stokes models with applications to biomembranes

DOI10.3934/dcdss.2011.4.371zbMath1210.35258OpenAlexW2040507779MaRDI QIDQ631295

Juan-Miguel Gracia

Publication date: 22 March 2011

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2011.4.371

zbMATH Keywords

weak solutionsecond law of thermodynamicsconvectiondissipation inequalityphase field modelNavier-Stokes equationmomentum equationbiomembranefluid interfacesbending elastic energy

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Biophysics (92C05) Membranes (74K15) Biomechanical solid mechanics (74L15) Biological fluid mechanics (76Z99) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

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