Existence of Global Weak Solution for Compressible Fluid Models of Korteweg Type
Haspot, Boris (2011), Existence of Global Weak Solution for Compressible Fluid Models of Korteweg Type, Journal of Mathematical Fluid Mechanics, 13, 2, p. 223-249. http://dx.doi.org/10.1007/s00021-009-0013-2
Type
Article accepté pour publication ou publiéExternal document link
http://arxiv.org/abs/0902.0965v1Date
2011Journal name
Journal of Mathematical Fluid MechanicsVolume
13Number
2Publisher
Springer
Pages
223-249
Publication identifier
Metadata
Show full item recordAuthor(s)
Haspot, BorisAbstract (EN)
This work is devoted to proving existence of global weak solutions for a general isothermal model of capillary fluids derived by Dunn and Serrin (Arch Rational Mech Anal 88(2):95–133, 1985) which can be used as a phase transition model. We improve the results of Danchin and Desjardins (Annales de l’IHP, Analyse non linéaire 18:97–133, 2001) by showing the existence of global weak solution in dimension two for initial data in the energy space, close to a stable equilibrium and with specific choices on the capillary coefficients. In particular we are interested in capillary coefficients approximating a constant capillarity coefficient κ. To finish we show the existence of global weak solution in dimension one for a specific type of capillary coefficients with large initial data in the energy space.Subjects / Keywords
compactness and concentration; gain of derivability; Weak solutionsRelated items
Showing items related by title and author.
-
Haspot, Boris (2010) Article accepté pour publication ou publié
-
Haspot, Boris (2013) Article accepté pour publication ou publié
-
Haspot, Boris (2014) Communication / Conférence
-
Haspot, Boris (2016) Article accepté pour publication ou publié
-
Haspot, Boris (2011) Document de travail / Working paper