On an incompressible Navier–Stokes/Cahn–Hilliard system with degenerate mobility
Abels, Helmut ; Depner, Daniel ; Garcke, Harald
Annales de l'I.H.P. Analyse non linéaire, Tome 30 (2013), p. 1175-1190 / Harvested from Numdam
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We prove existence of weak solutions for a diffuse interface model for the flow of two viscous incompressible Newtonian fluids in a bounded domain by allowing for a degenerate mobility. The model has been developed by Abels, Garcke and Grün for fluids with different densities and leads to a solenoidal velocity field. It is given by a non-homogeneous Navier–Stokes system with a modified convective term coupled to a Cahn–Hilliard system, such that an energy estimate is fulfilled which follows from the fact that the model is thermodynamically consistent.

Publié le : 2013-01-01
DOI : https://doi.org/10.1016/j.anihpc.2013.01.002
Classification:  76T99,  35Q30,  35Q35,  76D03,  76D05,  76D27,  76D45 
@article{AIHPC_2013__30_6_1175_0,
     author = {Abels, Helmut and Depner, Daniel and Garcke, Harald},
     title = {On an incompressible Navier--Stokes/Cahn--Hilliard system with degenerate mobility},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     volume = {30},
     year = {2013},
     pages = {1175-1190},
     doi = {10.1016/j.anihpc.2013.01.002},
     mrnumber = {3132421},
     zbl = {1347.76052},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPC_2013__30_6_1175_0}
}

Abels, Helmut; Depner, Daniel; Garcke, Harald. On an incompressible Navier–Stokes/Cahn–Hilliard system with degenerate mobility. Annales de l'I.H.P. Analyse non linéaire, Tome 30 (2013) pp. 1175-1190. doi : 10.1016/j.anihpc.2013.01.002. http://gdmltest.u-ga.fr/item/AIHPC_2013__30_6_1175_0/

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