@article{RSMUP_1978__59__117_0, author = {Beir\~ao Da Veiga, Hugo and Valli, Alberto}, title = {On the motion of a non-homogeneous ideal incompressible fluid in an external force field}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, volume = {60}, year = {1978}, pages = {117-145}, mrnumber = {547082}, zbl = {0433.76001}, language = {en}, url = {http://dml.mathdoc.fr/item/RSMUP_1978__59__117_0} }
Beirão da Veiga, Hugo; Valli, Alberto. On the motion of a non-homogeneous ideal incompressible fluid in an external force field. Rendiconti del Seminario Matematico della Università di Padova, Tome 60 (1978) pp. 117-145. http://gdmltest.u-ga.fr/item/RSMUP_1978__59__117_0/
[1] Existence et unicité de la solution de l'équation d'Euler en dimension deux, J. Math. Anal. Appl., 40 (1972), pp. 769-790. | MR 333488 | Zbl 0249.35070
,[2] Vanishing viscosity in Cauchy's problem for hydro-mechanics equations, Proc. Steklov Inst. Math., 92 (1966), pp. 33-53 (previously in Trudy Mat. Inst. Steklov, 92 (1966), pp. 31-49 [russian]). | MR 207281 | Zbl 0168.35504
,[3] Über die unbeschränkte Fortsetzbarkeit einer stetigen ebenen Bewegung in einer unbegrenzten inkompressiblen Flüssigkeit, Math. Z., 37 (1933), pp. 727-738. | MR 1545431 | Zbl 0008.06902
,[4] Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen, Math. Nachr., 4 (1950-51), pp. 213-231. | MR 50423 | Zbl 0042.10604
,[5] On Classical Solutions of the Two-Dimensional Non-Stationary Euler Equation, Arch. Rat. Mech. Anal., 25 (1967), pp. 188-200. | MR 211057 | Zbl 0166.45302
,[6] Sur les mouvements des liquides illimites, C.R.A.S. Paris, 194 (1932), 1892-1894. | JFM 58.0884.04
,[7] Neuere entwicklung der Potentialtheorie. Konforme Abbildung, Encycl. Math. Wiss., IIC 3 (1918), pp. 177-377. | JFM 47.0450.01
,[8] Well-posedness of the equations of a non-homogeneous perfect fluid, Comm. Partial Diff. Eq., 1 (1976), pp. 215-230. | MR 405493 | Zbl 0341.35019
,[9] Nonstationary Plane Flow of Viscous and Ideal Fluids, Arch. Rat. Mech. Anal., 27 (1967), pp. 329-348. | MR 221818 | Zbl 0187.49508
,[10] Existence theorem for the flow of an ideal incompressible fluid in two dimensions, Trans. Amer. Math. Soc., 42 (1937), pp. 497-513. | JFM 63.0766.05 | MR 1501931
,[11] On the uniqueness of compressible fluid motions, Arch. Rat. Mech. Anal., 3 (1959), pp. 271-288. | MR 106646 | Zbl 0089.19103
,[12] Soluzioni classiche dell'equazione di Eulero dei fluidi bidimensionali in domini con frontiera variabile, Ricerche di Mat., 26 (1977), pp. 301-333. | MR 479010 | Zbl 0421.76010
,[13] Un theorème sur l'esistence du mouvement plan d'un fluide parfait, homogène. incompressible, pendant un temps infiniment long, Math. Z., 37 (1933), pp. 698-726. | MR 1545430 | Zbl 0008.06901
,[14] Non-stationary flows of ideal incompressible fluids, Zhur. Vych. Mat. i Mat. Fiz., 3 (1963), pp. 1032-1066 [russian]. | MR 158189 | Zbl 0129.19402
,[15] A two dimensional problem of unsteady flow of an ideal incompressible fluid across a given domain, Amer. Math. Soc. Translations, 57 (1966), pp. 277-304 (previously in Mat. Sb., 64 (1964), pp. 562-588 [russian]). Added in proof: the analytic case in compact manifolds without boundary was studied in | MR 177577
,[16] Solutions analytiques de l'equation d'Euler d'un fluide incompressible, Seminaire Goulaouic-Schwartz, 1976-77 (Paris). | Numdam | Zbl 0361.35019
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