Analysis and numerical simulation of a generalized compressible Cahn-Hilliard-Navier-Stokes model with friction effects
DOI10.1051/m2an/2024063MaRDI QIDQ6652083
Alexandre Poulain, Charles Elbar
Publication date: 12 December 2024
Published in: European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Cahn-Hilliard equationNavier-Stokes equationasymptotic analysismathematical modelingnumerical simulationsscalar auxiliary variable method
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Friction in solid mechanics (74M10) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Fixed-point theorems (47H10) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) A priori estimates in context of PDEs (35B45) Iterative numerical methods for linear systems (65F10) Nonlinear higher-order PDEs (35G20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell biology (92C37) Weak solutions to PDEs (35D30) Physiological flows (76Z05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Physiological flow (92C35)
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