Artículos de revistas
Incompressible And Ideal 2d Flow Around A Small Obstacle With Constant Velocity At Infinity
Registro en:
Quarterly Of Applied Mathematics. , v. 71, n. 4, p. 679 - 687, 2013.
0033569X
10.1090/S0033-569X-2013-01299-4
2-s2.0-84888025319
Autor
Lopes Filho M.C.
Nguyen H.H.
Nussenzveig Lopes H.J.
Institución
Resumen
This article is concerned with the limiting behavior of incompressible flow past a small obstacle. Previous work on this problem has dealt with flows with vanishing velocity at infinity. We examine this limit for flows that are constant at infinity in the simplest case, that of two-dimensional, ideal flow past an obstacle. This extends the work in Iftimie, Lopes Filho, and Lopes (2003). © 2013 Brown University. 71 4 679 687 Acheson, D.J., Elementary fluid dynamics (1990), Oxford Applied Mathematics and Computing Science Series, The Clarendon Press Oxford University Press, New York, MR1069557 (93k:76001)Bardos, C., Existence et unicité de la solution de l'équation d'Euler en dimension deux (1972) J. Math. Anal. Appl., 40, pp. 769-790. , French, MR0333488 (48 #11813) Chorin, A.J., Marsden, J.E., A mathematical introduction to fluid mechanics (1993) Texts in Applied Mathematics, 4. , 3rd ed., Springer-Verlag, New York, MR1218879 (94c:76002) Dashti, M., Robinson, J.C., The motion of a fluid-rigid disc system at the zero limit of the rigid disc radius (2011) Arch. Ration. Mech. Anal., 200 (1), pp. 285-312. , DOI 10.1007/s00205-011-0401-7, MR2781594 (2012c:76027) Kikuchi, K., Exterior problem for the two-dimensional Euler equation (1983) J. Fac. Sci. Univ. Tokyo Sect. IA Math., 30 (1), pp. 63-92. , MR700596 (84g:35151) Iftimie, D., Kelliher, J.P., Remarks on the vanishing obstacle limit for a 3D viscous incompressible fluid (2009) Proc. Amer. Math. Soc., 137 (2), pp. 685-694. , DOI 10.1090/S0002-9939-08-09670-6, MR2448591 (2009m:35385) Iftimie, D., Lopes Filho, M.C., Nussenzveig Lopes, H.J., Two dimensional incompressible ideal flow around a small obstacle (2003) Comm. Partial Differential Equations, 28 (1-2), pp. 349-379. , DOI 10.1081/PDE-120019386, MR1974460 (2004d:76009) Iftimie, D., Lopes Filho, M.C., Nussenzveig Lopes, H.J., Two-dimensional incompressible viscous flow around a small obstacle (2006) Math. Ann., 336 (2), pp. 449-489. , DOI 10.1007/s00208-006-0012-z, MR2244381 (2007d:76050) Iftimie, D., Filho, M.C.L., Lopes, H.J.N., Incompressible flow around a small obstacle and the vanishing viscosity limit (2009) Comm. Math. Phys., 287 (1), pp. 99-115. , DOI 10.1007/s00220-008-0621-3, MR2480743 (2009m:35362) Kato, T., On classical solutions of the two-dimensional nonstationary Euler equation (1967) Arch. Rational Mech. Anal., 25, pp. 188-200. , MR0211057 (35 #1939) Lacave, C., Two dimensional incompressible ideal flow around a thin obstacle tending to a curve (2009) Ann. Inst. H. Poincaré Anal. Non Linéaire, 26 (4), pp. 1121-1148. , DOI 10.1016/j.anihpc.2008.06.004, MR2542717 (2010h:76054) Lacave, C., Two-dimensional incompressible viscous flow around a thin obstacle tending to a curve (2009) Proc. Roy. Soc. Edinburgh Sect. A, 139 (6), pp. 1237-1254. , DOI 10.1017/S0308210508000632, MR2557320 (2010k:76040) Lacave, C., Miot, E., Uniqueness for the vortex-wave system when the vorticity is constant near the point vortex (2009) SIAM J. Math. Anal., 41 (3), pp. 1138-1163. , DOI 10.1137/080737629, MR2529959 (2010i:76030) Lopes Filho, M.C., Vortex dynamics in a two-dimensional domain with holes and the small obstacle limit (2007) SIAM J. Math. Anal., 39 (2), pp. 422-436. , (electronic), DOI 10.1137/050647967, MR2338413 (2008i:76013) Serfati, P., Solutions C∞ en temps, n-log Lipschitz bornées en espace et équation d'Euler (1995) C. R. Acad. Sci. Paris Sér. I Math., 320 (5). , 555-558, French, with English and French summaries, MR1322336 (96c:35147) Judovič, V.I., Non-stationary flows of an ideal incompressible fluid (1963) Ž. Vyčisl. Mat. i Mat. Fiz., 3, pp. 1032-1066. , Russian, MR0158189 (28 #1415)