-
1
-
-
84899450260
-
-
Preprint, arxiv:1203.5991
-
Alexandre, R.; Wang, Y.-G.; Xu, C.-J.; Yang, T. Well-posedness of the Prandtl equation in sobolev spaces. Preprint, 2012. arxiv:1203.5991
-
(2012)
Well-posedness of the Prandtl equation in sobolev spaces
-
-
Alexandre, R.1
Wang, Y.-G.2
Xu, C.-J.3
Yang, T.4
-
2
-
-
84856287866
-
Concerning the Wk,p-inviscid limit for 3-D flows under a slip boundary condition
-
Beirão da Veiga, H.; Crispo, F. Concerning the Wk, p-inviscid limit for 3-D flows under a slip boundary condition. J. Math. Fluid Mech. 13 (2011), no. 1, 117-135. doi: 10.1007/s00021-009-0012-3
-
(2011)
J. Math. Fluid Mech.
, vol.13
, Issue.1
, pp. 117-135
-
-
Beirão da Veiga, H.1
Crispo, F.2
-
3
-
-
0033130274
-
Homogeneous hydrostatic flows with convex velocity profiles
-
Brenier, Y. Homogeneous hydrostatic flows with convex velocity profiles. Nonlinearity 12 (1999), no. 3, 495-512. doi: 10.1088/0951-7715/12/3/004
-
(1999)
Nonlinearity
, vol.12
, Issue.3
, pp. 495-512
-
-
Brenier, Y.1
-
4
-
-
23044522517
-
Existence and singularities for the Prandtl boundary layer equations
-
Caflisch, R. E.; Sammartino, M. Existence and singularities for the Prandtl boundary layer equations. ZAMM Z. Angew. Math. Mech. 80 (2000), no. 11-12, 733-744. doi: 10.1002/1521-4001(200011)80:11/12<733::AID-ZAMM733>3.0.CO;2-L
-
(2000)
ZAMM Z. Angew. Math. Mech.
, vol.80
, Issue.11-12
, pp. 733-744
-
-
Caflisch, R.E.1
Sammartino, M.2
-
6
-
-
0006415542
-
Boundary layer theory and the zero-viscosity limit of the Navier-Stokes equation
-
E, W. Boundary layer theory and the zero-viscosity limit of the Navier-Stokes equation. Acta Math. Sin. (Engl. Ser.) 16 (2000), no. 2, 207-218. doi: 10.1007/s101140000034
-
(2000)
Acta Math. Sin. (Engl. Ser.)
, vol.16
, Issue.2
, pp. 207-218
-
-
-
7
-
-
0038911371
-
Blowup of solutions of the unsteady Prandtl's equation
-
E, W.; Engquist, B. Blowup of solutions of the unsteady Prandtl's equation. Comm. Pure Appl. Math. 50 (1997), no. 12, 1287-1293. doi: 10.1002/(SICI)1097-0312(199712)50:12<1287::AID-CPA4>3.0.CO;2-4
-
(1997)
Comm. Pure Appl. Math.
, vol.50
, Issue.12
, pp. 1287-1293
-
-
Engquist, B.1
-
8
-
-
77749295388
-
On the ill-posedness of the Prandtl equation
-
Gérard-Varet, D.; Dormy, E. On the ill-posedness of the Prandtl equation. J. Amer. Math. Soc. 23 (2010), no. 2, 591-609. doi: 10.1090/S0894-0347-09-00652-3
-
(2010)
J. Amer. Math. Soc.
, vol.23
, Issue.2
, pp. 591-609
-
-
Gérard-Varet, D.1
Dormy, E.2
-
10
-
-
84859471486
-
Remarks on the ill-posedness of the Prandtl equation
-
Gérard-Varet, D.; Nguyen, T. Remarks on the ill-posedness of the Prandtl equation. Asymptot. Anal. 77 (2012), no. 1-2, 71-88.
-
(2012)
Asymptot. Anal.
, vol.77
, Issue.1-2
, pp. 71-88
-
-
Gérard-Varet, D.1
Nguyen, T.2
-
11
-
-
0034403210
-
On the nonlinear instability of Euler and Prandtl equations
-
Grenier, E. On the nonlinear instability of Euler and Prandtl equations. Comm. Pure Appl. Math. 53 (2000), no. 9, 1067-1091. doi: 10.1002/1097-0312(200009)53:9;<1067::AID-CPA1>3.3.CO;2-H
-
(2000)
Comm. Pure Appl. Math.
, vol.53
, Issue.9
, pp. 1067-1091
-
-
Grenier, E.1
-
15
-
-
79960099628
-
A note on Prandtl boundary layers
-
Guo, Y.; Nguyen, T. A note on Prandtl boundary layers. Comm. Pure Appl. Math. 64 (2011), no. 10, 1416-1438. doi: 10.1002/cpa.20377
-
(2011)
Comm. Pure Appl. Math.
, vol.64
, Issue.10
, pp. 1416-1438
-
-
Guo, Y.1
Nguyen, T.2
-
16
-
-
78651085111
-
Viscous boundary layers for the Navier-Stokes equations with the Navier slip conditions
-
Iftimie, D.; Sueur, F. Viscous boundary layers for the Navier-Stokes equations with the Navier slip conditions. Arch. Ration. Mech. Anal. 199 (2011), no. 1, 145-175. doi: 10.1007/s00205-010-0320-z
-
(2011)
Arch. Ration. Mech. Anal.
, vol.199
, Issue.1
, pp. 145-175
-
-
Iftimie, D.1
Sueur, F.2
-
18
-
-
0040652193
-
Remarks on zero viscosity limit for nonstationary Navier-Stokes flows with boundary
-
Mathematical Sciences Research Institute Publications, 2. Springer, New York
-
Kato, T. Remarks on zero viscosity limit for nonstationary Navier-Stokes flows with boundary. Seminar on nonlinear partial differential equations (Berkeley, Calif., 1983), 85-98. Mathematical Sciences Research Institute Publications, 2. Springer, New York, 1984. doi: 10.1007/978-1-4612-1110-5_6
-
(1984)
Seminar on nonlinear partial differential equations (Berkeley, Calif., 1983)
, pp. 85-98
-
-
Kato, T.1
-
19
-
-
35448992401
-
On Kato's conditions for vanishing viscosity
-
Kelliher, J. P. On Kato's conditions for vanishing viscosity. Indiana Univ. Math. J. 56 (2007), no. 4, 1711-1721. doi: 10.1512/iumj.2007.56.3080
-
(2007)
Indiana Univ. Math. J.
, vol.56
, Issue.4
, pp. 1711-1721
-
-
Kelliher, J.P.1
-
20
-
-
84919723225
-
On the local well-posedness of the Prandtl and the hydrostatic Euler equations with multiple monotonicity regions
-
Kukavica, I.; Masmoudi, N.; Vicol, V.; Wong, T. K. On the local well-posedness of the Prandtl and the hydrostatic Euler equations with multiple monotonicity regions. SIAM J. Math. Anal. 46 (2014), no. 6, 3865-3890. doi: 10.1137/140956440
-
(2014)
SIAM J. Math. Anal.
, vol.46
, Issue.6
, pp. 3865-3890
-
-
Kukavica, I.1
Masmoudi, N.2
Vicol, V.3
Wong, T.K.4
-
21
-
-
84867697714
-
On the local existence of analytic solutions to the Prandtl boundary layer equations
-
Kukavica, I.; Vicol, V. On the local existence of analytic solutions to the Prandtl boundary layer equations. Commun. Math. Sci. 11 (2013), no. 1, 269-292. doi: 10.4310/CMS.2013.v11.n1.a8
-
(2013)
Commun. Math. Sci.
, vol.11
, Issue.1
, pp. 269-292
-
-
Kukavica, I.1
Vicol, V.2
-
22
-
-
3142746818
-
Well-posedness of the boundary layer equations
-
Lombardo, M. C.; Cannone, M.; Sammartino, M. Well-posedness of the boundary layer equations. SIAM J. Math. Anal. 35 (2003), no. 4, 987-1004 (electronic). doi: 10.1137/S0036141002412057
-
(2003)
SIAM J. Math. Anal.
, vol.35
, Issue.4
, pp. 987-1004
-
-
Lombardo, M.C.1
Cannone, M.2
Sammartino, M.3
-
23
-
-
84899987085
-
On the inviscid limit problem of the vorticity equations for viscous incompressible flows in the half-plane
-
Maekawa, Y. On the inviscid limit problem of the vorticity equations for viscous incompressible flows in the half-plane. Comm. Pure Appl. Math. 67 (2014), no. 7, 1045-1128. doi: 10.1002/cpa.21516
-
(2014)
Comm. Pure Appl. Math.
, vol.67
, Issue.7
, pp. 1045-1128
-
-
Maekawa, Y.1
-
24
-
-
0032382509
-
The Euler limit of the Navier-Stokes equations, and rotating fluids with boundary
-
Masmoudi, N. The Euler limit of the Navier-Stokes equations, and rotating fluids with boundary. Arch. Rational Mech. Anal. 142 (1998), no. 4, 375-394. doi: 10.1007/s002050050097
-
(1998)
Arch. Rational Mech. Anal.
, vol.142
, Issue.4
, pp. 375-394
-
-
Masmoudi, N.1
-
25
-
-
33846820019
-
Examples of singular limits in hydrodynamics
-
Vol., Handbook of Differential Equations. Elsevier/North-Holland, Amsterdam
-
Masmoudi, N. Examples of singular limits in hydrodynamics. Handbook of differential equations: evolutionary equations. Vol. III, 195-275. Handbook of Differential Equations. Elsevier/North-Holland, Amsterdam, 2007.
-
(2007)
Handbook of differential equations: evolutionary equations
, vol.3
, pp. 195-275
-
-
Masmoudi, N.1
-
26
-
-
33846833851
-
Remarks about the inviscid limit of the Navier-Stokes system
-
Masmoudi, N. Remarks about the inviscid limit of the Navier-Stokes system. Comm. Math. Phys. 270 (2007), no. 3, 777-788. doi: 10.1007/s00220-006-0171-5
-
(2007)
Comm. Math. Phys.
, vol.270
, Issue.3
, pp. 777-788
-
-
Masmoudi, N.1
-
27
-
-
84856483082
-
Uniform regularity for the Navier-Stokes equation with Navier boundary condition
-
Masmoudi, N.; Rousset, F. Uniform regularity for the Navier-Stokes equation with Navier boundary condition. Arch. Ration. Mech. Anal. 203 (2012), no. 2, 529-575. doi: 10.1007/s00205-011-0456-5
-
(2012)
Arch. Ration. Mech. Anal.
, vol.203
, Issue.2
, pp. 529-575
-
-
Masmoudi, N.1
Rousset, F.2
-
28
-
-
84858704855
-
s theory of hydrostatic Euler equations
-
s theory of hydrostatic Euler equations. Arch. Ration. Mech. Anal. 204 (2012), no. 1, 231-271. doi: 10.1007/s00205-011-0485-0
-
(2012)
Arch. Ration. Mech. Anal.
, vol.204
, Issue.1
, pp. 231-271
-
-
Masmoudi, N.1
Wong, T.K.2
-
29
-
-
0009044648
-
On the system of Prandtl equations in boundary-layer theory
-
Oleĭnik, O. A. On the system of Prandtl equations in boundary-layer theory. Dokl. Akad. Nauk SSSR 150 (1963), 28-31.
-
(1963)
Dokl. Akad. Nauk SSSR
, vol.150
, pp. 28-31
-
-
Oleĭnik, O.A.1
-
30
-
-
0039283401
-
On the mathematical theory of boundary layer for an unsteady flow of incompressible fluid
-
(Russian); translated as J. Appl. Math. Mech. 30, 951-974.
-
Oleĭnik, O. A. On the mathematical theory of boundary layer for an unsteady flow of incompressible fluid. Prikl. Mat. Meh. 30, 801-821 (Russian); translated as J. Appl. Math. Mech. 30 (1966), 951-974. doi: 10.1016/0021-8928(66)90001-3
-
(1966)
Prikl. Mat. Meh.
, vol.30
, pp. 801-821
-
-
Oleĭnik, O.A.1
-
31
-
-
0038584419
-
-
Applied Mathematics and Mathematical Computation, 15. Chapman & Hall/CRC, Boca Raton, Fla.
-
Oleĭnik, O. A.; Samokhin, V. N. Mathematical models in boundary layer theory. Applied Mathematics and Mathematical Computation, 15. Chapman & Hall/CRC, Boca Raton, Fla., 1999.
-
(1999)
Mathematical models in boundary layer theory
-
-
Oleĭnik, O.A.1
Samokhin, V.N.2
-
32
-
-
0001987016
-
Über Flüssigkeits-bewegung bei sehr kleiner Reibung
-
Heidelberg, Teubner, Leipzig
-
Prandtl, L. Über Flüssigkeits-bewegung bei sehr kleiner Reibung. Actes du 3ème Congrés international dse Mathématiciens, 484-491. Heidelberg, Teubner, Leipzig, 1904.
-
(1904)
Actes du 3ème Congrés international dse Mathématiciens
, pp. 484-491
-
-
Prandtl, L.1
-
33
-
-
0032371860
-
Zero viscosity limit for analytic solutions, of the Navier-Stokes equation on a half-space. I. Existence for Euler and Prandtl equations
-
Sammartino, M.; Caflisch, R. E. Zero viscosity limit for analytic solutions, of the Navier-Stokes equation on a half-space. I. Existence for Euler and Prandtl equations. Comm. Math. Phys. 192 (1998), no. 2, 433-461. doi: 10.1007/s002200050304
-
(1998)
Comm. Math. Phys.
, vol.192
, Issue.2
, pp. 433-461
-
-
Sammartino, M.1
Caflisch, R.E.2
-
34
-
-
84875267000
-
Zero viscosity limit for analytic solutions of the Navier-Stokes equation on a half-space. II. Construction of the Navier-Stokes solution
-
Sammartino, M.; Caflisch, R. E. Zero viscosity limit for analytic solutions of the Navier-Stokes equation on a half-space. II. Construction of the Navier-Stokes solution. Comm. Math. Phys. 192 (1998), no. 2, 463-491. doi: 10.1007/s002200050305
-
(1998)
Comm. Math. Phys.
, vol.192
, Issue.2
, pp. 463-491
-
-
Sammartino, M.1
Caflisch, R.E.2
-
36
-
-
85042743964
-
On the behavior of the solutions of the Navier-Stokes equations at vanishing viscosity
-
(1998)
-
Temam, R.; Wang, X. On the behavior of the solutions of the Navier-Stokes equations at vanishing viscosity. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 25 (1997), no. 3-4, 807-828 (1998).
-
(1997)
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)
, vol.25
, Issue.3-4
, pp. 807-828
-
-
Temam, R.1
Wang, X.2
-
37
-
-
0036496598
-
Boundary layers associated with incompressible Navier-Stokes equations: the noncharacteristic boundary case
-
Temam, R.; Wang, X. Boundary layers associated with incompressible Navier-Stokes equations: the noncharacteristic boundary case. J. Differential Equations 179 (2002), no. 2, 647-686. doi: 10.1006/jdeq.2001.4038
-
(2002)
J. Differential Equations
, vol.179
, Issue.2
, pp. 647-686
-
-
Temam, R.1
Wang, X.2
-
38
-
-
0039841935
-
A Kato type theorem on zero viscosity limit of Navier-Stokes flows
-
Wang, X. A Kato type theorem on zero viscosity limit of Navier-Stokes flows. Indiana Univ. Math. J. 50 (2001), Special Issue, 223-241. doi: 10.1512/iumj.2001.50.2098
-
(2001)
Indiana Univ. Math. J.
, vol.50
, pp. 223-241
-
-
Wang, X.1
-
39
-
-
34249707401
-
On the vanishing viscosity limit for the 3D Navier-Stokes equations with a slip boundary condition
-
Xiao, Y.; Xin, Z. On the vanishing viscosity limit for the 3D Navier-Stokes equations with a slip boundary condition. Comm. Pure Appl. Math. 60 (2007), no. 7, 1027-1055. doi: 10.1002/cpa.20187
-
(2007)
Comm. Pure Appl. Math.
, vol.60
, Issue.7
, pp. 1027-1055
-
-
Xiao, Y.1
Xin, Z.2
-
40
-
-
0346401385
-
On the global existence of solutions to the Prandtl's system
-
Xin, Z.; Zhang, L. On the global existence of solutions to the Prandtl's system. Adv. Math. 181 (2004), no. 1, 88-133. doi: 10.1016/S0001-8708(03)00046-X
-
(2004)
Adv. Math.
, vol.181
, Issue.1
, pp. 88-133
-
-
Xin, Z.1
Zhang, L.2
|