@article{AFST_1993_6_2_2_185_0,
author = {Enrique Fern\'andez-Cara and Francisco Guill\'en},
title = {Some new existence results for the variable density {Navier-Stokes} equations},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {185--204},
year = {1993},
publisher = {Universit\'e Paul Sabatier},
address = {Toulouse},
volume = {Ser. 6, 2},
number = {2},
doi = {10.5802/afst.763},
mrnumber = {1253388},
zbl = {0806.35135},
language = {en},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.763/}
}
TY - JOUR AU - Enrique Fernández-Cara AU - Francisco Guillén TI - Some new existence results for the variable density Navier-Stokes equations JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 1993 SP - 185 EP - 204 VL - 2 IS - 2 PB - Université Paul Sabatier PP - Toulouse UR - https://afst.centre-mersenne.org/articles/10.5802/afst.763/ DO - 10.5802/afst.763 LA - en ID - AFST_1993_6_2_2_185_0 ER -
%0 Journal Article %A Enrique Fernández-Cara %A Francisco Guillén %T Some new existence results for the variable density Navier-Stokes equations %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 1993 %P 185-204 %V 2 %N 2 %I Université Paul Sabatier %C Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.763/ %R 10.5802/afst.763 %G en %F AFST_1993_6_2_2_185_0
Enrique Fernández-Cara; Francisco Guillén. Some new existence results for the variable density Navier-Stokes equations. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 2 (1993) no. 2, pp. 185-204. doi: 10.5802/afst.763
[1] ) and ) .- Mathematical study of flows of nonhomogeneous fluids, Lectures at the University of Nobosibirsk (U.S.S.R.), 1973 (in russian).
[2] ) and ) .- Ordinary differential equations transport theory and Sobolev spaces, Invent. Math. 98 (1989), pp. 511-547. | Zbl | MR
[3] ) and ) .- The existence of nonhomogeneous, viscous and incompressible flow in unbounded domains, Comm. P.D.E. 17 (7 & 8) (1992), pp. 1253-1265. | Zbl
[4] ) and ) .- Existence and uniqueness of solutions of the initial boundary value problem for the flow of a barotropic viscous fluid global in time, Arch. Mech. 35 (1983), pp. 517-532. | Zbl | MR
[5] ) and ) . - Finite element methods for Navier-Stokes equations, Springer- Verlag, Berlin (1986). | Zbl | MR
[6] ) . - Thesis, University of Sevilla (1992).
[7] ) . - Resolution of boundary value problems for nonhomogeneous viscous fluids, Dokl. Akad. Nauk. 216 (1974), pp. 1008-1010.
[8] ) and al. .- Function Spaces, Noordhoff International Publishing Leyden (1977). | Zbl | MR
[9] ) .- The mathematical theory of viscous incompressible flow, Gordon & Breach, New York (1969). | Zbl
[10] ) and ) .- Unique solvablity of an initial and boundary value problem for viscous incompressible nonhomogeneous fluids, J. Soviet. Math. 9 (1978), pp. 697-749. | Zbl
[11] ) . - Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, Gauthiers-Villars, Paris (1969). | Zbl | MR
[12] ) . - On some problems connected with Navier-Stokes equations, In "Nonlinear Evolution Equations", M.C. Crandall, ed. Academic Press, New York (1978). | Zbl | MR
[13] ) .- An existence theorem for compressible viscous and heat conducting fluids, Math. Meth. Appl. Sci. 6 (1984), pp. 234-247. | Zbl | MR
[14] ) .- On the equation of nonstationary stratified fluid motion: uniqueness and existence of solutions, J. Fac. Sci. Univ. Tokyo, Sect. 1A Math. 30 (1984), pp. 615-643. | Zbl | MR
[15] ) .- An existence theorem for nonhomogeneous incompressible fluids, Rend. Circ. Mat. Palermo (4), 31 ( 1982), pp. 119-124. | Zbl | MR
[16] ) .- On the existence and uniqueness of nonhomogeneous motions in exterior domains, Math. Z. 203 (1990), pp. 581-604. | Zbl | MR
[17] ) . - Existencia de solución del problema de Navier-Stokes con densidad variable, Lectures in the University of Sevilla (1989).
[18] ) .- Nonhomogeneous viscous incompressible fluids: existence of velocity, density and pressure, SIAM J. Math. Anal. 21, n° 5 (1990), pp. 1093-1117. | Zbl | MR
[19] ) .- Navier-Stokes evaluations. Theory and numerical analysis, North-Holland, Amsterdam (1977). | Zbl | MR
[20] ) and ) .- Navier-Stokes equations for compressible fluids: global existence and qualitative properties of the solutions in the general case, Comm. Math. Phys. 103 (1986), pp. 259-296. | Zbl
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