@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}, publisher = {Universit\'e Paul Sabatier}, address = {Toulouse}, volume = {Ser. 6, 2}, number = {2}, year = {1993}, zbl = {0806.35135}, mrnumber = {1253388}, language = {en}, url = {https://afst.centre-mersenne.org/item/AFST_1993_6_2_2_185_0/} }
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/item/AFST_1993_6_2_2_185_0/ 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/item/AFST_1993_6_2_2_185_0/ %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. https://afst.centre-mersenne.org/item/AFST_1993_6_2_2_185_0/
[1] Mathematical study of flows of nonhomogeneous fluids, Lectures at the University of Nobosibirsk (U.S.S.R.), 1973 (in russian).
) and ) .-[2] Ordinary differential equations transport theory and Sobolev spaces, Invent. Math. 98 (1989), pp. 511-547. | MR | Zbl
) and ) .-[3] The existence of nonhomogeneous, viscous and incompressible flow in unbounded domains, Comm. P.D.E. 17 (7 & 8) (1992), pp. 1253-1265. | Zbl
) and ) .-[4] 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. | MR | Zbl
) and ) .-[5] Finite element methods for Navier-Stokes equations, Springer- Verlag, Berlin (1986). | MR | Zbl
) and ) . -[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] Function Spaces, Noordhoff International Publishing Leyden (1977). | MR | Zbl
) and al. .-[9] The mathematical theory of viscous incompressible flow, Gordon & Breach, New York (1969). | Zbl
) .-[10] Unique solvablity of an initial and boundary value problem for viscous incompressible nonhomogeneous fluids, J. Soviet. Math. 9 (1978), pp. 697-749. | Zbl
) and ) .-[11] Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, Gauthiers-Villars, Paris (1969). | MR | Zbl
) . -[12] On some problems connected with Navier-Stokes equations, In "Nonlinear Evolution Equations", M.C. Crandall, ed. Academic Press, New York (1978). | MR | Zbl
) . -[13] An existence theorem for compressible viscous and heat conducting fluids, Math. Meth. Appl. Sci. 6 (1984), pp. 234-247. | MR | Zbl
) .-[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. | MR | Zbl
) .-[15] An existence theorem for nonhomogeneous incompressible fluids, Rend. Circ. Mat. Palermo (4), 31 ( 1982), pp. 119-124. | MR | Zbl
) .-[16] On the existence and uniqueness of nonhomogeneous motions in exterior domains, Math. Z. 203 (1990), pp. 581-604. | MR | Zbl
) .-[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. | MR | Zbl
) .-[19] Navier-Stokes evaluations. Theory and numerical analysis, North-Holland, Amsterdam (1977). | MR | Zbl
) .-[20] 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
) and ) .-