@article{RSMUP_1980__63__151_0,
author = {Beir\~ao da Veiga, Hugo and Valli, Alberto},
title = {On the {Euler} equations for nonhomogeneous fluids {(I)}},
journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
pages = {151--168},
year = {1980},
publisher = {Seminario Matematico of the University of Padua},
volume = {63},
mrnumber = {605790},
zbl = {0459.76003},
language = {en},
url = {https://www.numdam.org/item/RSMUP_1980__63__151_0/}
}
TY - JOUR AU - Beirão da Veiga, Hugo AU - Valli, Alberto TI - On the Euler equations for nonhomogeneous fluids (I) JO - Rendiconti del Seminario Matematico della Università di Padova PY - 1980 SP - 151 EP - 168 VL - 63 PB - Seminario Matematico of the University of Padua UR - https://www.numdam.org/item/RSMUP_1980__63__151_0/ LA - en ID - RSMUP_1980__63__151_0 ER -
%0 Journal Article %A Beirão da Veiga, Hugo %A Valli, Alberto %T On the Euler equations for nonhomogeneous fluids (I) %J Rendiconti del Seminario Matematico della Università di Padova %D 1980 %P 151-168 %V 63 %I Seminario Matematico of the University of Padua %U https://www.numdam.org/item/RSMUP_1980__63__151_0/ %G en %F RSMUP_1980__63__151_0
Beirão da Veiga, Hugo; Valli, Alberto. On the Euler equations for nonhomogeneous fluids (I). Rendiconti del Seminario Matematico della Università di Padova, Tome 63 (1980), pp. 151-168. https://www.numdam.org/item/RSMUP_1980__63__151_0/
[1] - , Mathematical study of flows of non homogeneous fluids, Novosibirsk, Lectures at the University, 1973 (russian). | MR
[2] - , On the motion of a non-homogeneous ideal incompressible fluid in an external force field, Rend. Sem. Mat. Padova, 59 (1978), pp. 117-145. | Zbl | MR | Numdam
[3] - , On the Euler equations for non-homogeneous fluids (II), to appear in J. Math. Anal. Appl. | Zbl | MR
[4] - , Existence of C∞ solutions of the Euler equations for non-homogeneous fluids, to appear in Comm. Partial Diff. E q. | Zbl
[5] - N. S. TRUDINGER, Elliptic Partial Differential Equations of Second Order, Springer-Verlag, Berlin- Heidelberg, 1977. | Zbl | MR
[6] , Il teorema di unicità per i fluidi incompressibili, perfetti, eterogenei, Rev. Un. Mat. Argentina, 17 (1955), pp. 73-77. | Zbl | MR
[7] , Ordinary differential equations, J. Wiley and Sons, Inc., Baltimore, 1973. | Zbl | MR
[8] , Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen, Math. Nachr., 4 (1950-51), pp. 213-231. | Zbl | MR
[9] , On classical solutions of the two-dimensional non-stationary Euler equation, Arch. Rat. Mech. Anal., 25 (1967), pp. 188-200. | Zbl | MR
[10] , Solvability of the initial and boundary-value problem for the equations of motion of an inhomogeneous viscous incompressible fluid, Soviet Physics Dokl., 19 (1974), pp. 331-332 (previously in Dokl. Akad. Nauk. SSSR, 216 (1974), pp. 1008-1010 (russian)). | Zbl | MR
[11] - , The unique solvability of an initial-boundary value problem for viscous, incompressible, inhomogeneous fluids, Zap. Naučn. Sem. Leningrad, 52 (1975), pp. 52-109, pp. 218-219 (russian) (translated in Journal of Soviet Mathematics, 9 (1978)). | Zbl | MR
[12] - , Equations aux derivées partielles de type elliptique, Dunod, Paris, 1968 (translated from russian). | MR
[13] - , Waves in the ocean, Elsevier, Amsterdam, 1977.
[14] , On some questions in boundary value problems of Mathematical Physics, Rio de Janeiro, Lectures at the Univ. Federal, Instituto de Mat., 1977. | Zbl | MR
[15] , Well-posedness of the equations of a non-homogeneous perfect fluid, Comm. Partial Diff. Eq., 1 (1976), pp. 215-230. | Zbl | MR
[16] , Sul problema misto per le equazioni lineari ellittiche, Ann. Mat. Pura Appl., 39 (1955), pp. 279-303. | Zbl | MR
[17] , Partial Differential Equations of Elliptic Type, Second revised edition, Springer-Verlag, Berlin-Heidelberg, 1970. | Zbl | MR
[18] , Mécanique des milieux continus, vol. I, Editions MIR, Moscow (1975) (translated from russian).
[19] , On the Euler equations of incompressible perfect fluids, J. Funct. Anal., 20 (1975), pp. 32-43. | Zbl
[20] , Inequalities for the Green function and boundary continuity of the gradient of solutions of elliptic differential equations, Math. Scand., 21 (1967), pp. 17-37. | Zbl | MR
[21] , Un théorème sur l'existence du mouvement plan d'un fluide parfait, homogène, incompressible, pendant un temps infiniment long, Math. Z., 37 (1933), pp. 698-726. | Zbl | MR
[22] , Dynacmics of nonhomogeneous fluids, The Macmillan Co., New York, 1965. | Zbl | MR
[23] , Notes sur les Ecoulements Rotationnels de Fluids Parfaits, Lecture Notes in Physics n. 27, Springer-Verlag, Berlin-Heidelberg, 1974. | Zbl
[24] , Écoulement d'un fluide non homogène avec une densité initiale s'annullant, C. R. Acad. Sc. Paris, 287 (1978), pp. 1009-1012. | Zbl | MR






