Generalized lubrification models blow-up and global existence result.
Rakotoson, J. Emile ; Rakotoson, J. Michel ; Verbeke, Cédric
RACSAM, Tome 99 (2005), p. 235-241 / Harvested from Biblioteca Digital de Matemáticas
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We study a general mathematical model linked with various physical models. Especially, we focus on those models established by King or Spencer-Davis-Voorhees related to thin films extending the lubrication model studied by Bernis-Friedman. According to the initial data, we prove that, either, blow up or global existence can be obtained.

Se considera un modelo general de lubricación que engloba varios modelos físicos. En particular nos centramos en los modelos propuestos por King y Spencer, Davis y Voorhees, donde se generalizan los modelos de lubricación estudiados por Bernis y Friedman. Dependiendo de los datos iniciales, se demuestra la explosión de soluciones o su existencia global.

Publié le : 2005-01-01
DMLE-ID : 3578 
@article{urn:eudml:doc:41015,
     title = {Generalized lubrification models blow-up and global existence result.},
     journal = {RACSAM},
     volume = {99},
     year = {2005},
     pages = {235-241},
     mrnumber = {MR2216106},
     zbl = {1101.35026},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41015}
}

Rakotoson, J. Emile; Rakotoson, J. Michel; Verbeke, Cédric. Generalized lubrification models blow-up and global existence result.. RACSAM, Tome 99 (2005) pp. 235-241. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41015/