caa a22 4500 463170970 CHVBK 20180406164813.0 cr unu---uuuuu 170326e20070801xx s 000 0 eng 10.1007/s00021-005-0204-4 doi (NATIONALLICENCE)springer-10.1007/s00021-005-0204-4 Effect of Density Dependent Viscosities on Multiphasic Incompressible Fluid Models [Elektronische Daten] [Didier Bresch, El Essoufi, Mamadou Sy] Abstract.: In this paper, we look at the influence of the choice of the Reynolds tensor on the derivation of some multiphasic incompressible fluid models, called Kazhikhov-Smagulov type models. We show that a compatibility condition between the viscous tensor and the diffusive term allows us to obtain similar models without assuming a small diffusive term as it was done for instance by A. Kazhikhov and Sh. Smagulov. We begin with two examples: The first one concerning pollution and the last one concerning a model of combustion at low Mach number. We give the compatibility condition that provides a class of models of the Kazhikhov-Smagulov type. We prove that these models are globally well posed without assumptions between the density and the diffusion terms. Birkhäuser Verlag, Basel, 2006 Mixture theory nationallicence global existence result nationallicence Reynolds tensor nationallicence Bresch Didier Laboratoire de Modélisation et de Calcul (CNRS 5523), Université Joseph Fourier, 38041, Grenoble cedex, France aut Essoufi El Département de Mathématiques, Faculté des Sciences et Techniques, Université Moulay Ismail, 52000, Errachadia, Maroc aut Sy Mamadou Labo. Math. & CNRS 6620, Univ. Blaise Pascal, 63177, Aubière cedex, France aut Journal of Mathematical Fluid Mechanics Birkhäuser-Verlag; www.birkhäuser.ch 9/3(2007-08-01), 377-397 1422-6928 9:3<377 2007 9 21 https://doi.org/10.1007/s00021-005-0204-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00021-005-0204-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bresch Didier Laboratoire de Modélisation et de Calcul (CNRS 5523), Université Joseph Fourier, 38041, Grenoble cedex, France aut NATIONALLICENCE 700 1- Essoufi El Département de Mathématiques, Faculté des Sciences et Techniques, Université Moulay Ismail, 52000, Errachadia, Maroc aut NATIONALLICENCE 700 1- Sy Mamadou Labo. Math. & CNRS 6620, Univ. Blaise Pascal, 63177, Aubière cedex, France aut NATIONALLICENCE 773 0- Journal of Mathematical Fluid Mechanics Birkhäuser-Verlag; www.birkhäuser.ch 9/3(2007-08-01), 377-397 1422-6928 9:3<377 2007 9 21 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer