-
1
-
-
34547194744
-
Well-posedness of 3D vortex sheets with surface tension
-
D. M. Ambrose and N. Masmoudi, Well-posedness of 3D vortex sheets with surface tension, Commun. Math. Sci. 5 (2007), 391-430.
-
(2007)
Commun. Math. Sci.
, vol.5
, pp. 391-430
-
-
Ambrose, D.M.1
Masmoudi, N.2
-
2
-
-
67249144683
-
The zero surface tension limit of three-dimensional water waves
-
D. M. Ambrose and N. Masmoudi, The zero surface tension limit of three-dimensional water waves, Indiana Univ. Math. J. 58 (2009), 479-521.
-
(2009)
Indiana Univ. Math. J.
, vol.58
, pp. 479-521
-
-
Ambrose, D.M.1
Masmoudi, N.2
-
3
-
-
84990576574
-
Growth rates for the linearized motion of fluid interfaces away from equilibrium
-
J. T. Beale, T. Y. Hou, and J. S. Lowengrub, Growth rates for the linearized motion of fluid interfaces away from equilibrium, Comm. Pure Appl. Math. 46 (1993), 1269-1301.
-
(1993)
Comm. Pure Appl. Math.
, vol.46
, pp. 1269-1301
-
-
Beale, J.T.1
Hou, T.Y.2
Lowengrub, J.S.3
-
4
-
-
84990602498
-
Global solutions of nonlinear hyperbolic equations for small initial data
-
D. Christodoulou, Global solutions of nonlinear hyperbolic equations for small initial data, Comm. Pure Appl. Math. 39 (1986), 267-282.
-
(1986)
Comm. Pure Appl. Math.
, vol.39
, pp. 267-282
-
-
Christodoulou, D.1
-
5
-
-
0034368951
-
On the motion of the free surface of a liquid
-
D. Christodoulou and H. Lindblad, On the motion of the free surface of a liquid, Comm. Pure Appl. Math. 53 (2000), 1536-1602.
-
(2000)
Comm. Pure Appl. Math.
, vol.53
, pp. 1536-1602
-
-
Christodoulou, D.1
Lindblad, H.2
-
6
-
-
0001923237
-
Au delà des Opérateurs Pseudo-Différentiels
-
Société Mathématique de France, Paris
-
R. R. Coifman and Y. Meyer, Au delà des Opérateurs Pseudo-Différentiels, Astérisque 57, Société Mathématique de France, Paris, 1978.
-
(1978)
Astérisque
, vol.57
-
-
Coifman, R.R.1
Meyer, Y.2
-
7
-
-
34548446988
-
Well-posedness of the free-surface incompressible Euler equations with or without surface tension
-
D. Coutand and S. Shkoller, Well-posedness of the free-surface incompressible Euler equations with or without surface tension, J. Amer. Math. Soc. 20 (2007), 829-930.
-
(2007)
J. Amer. Math. Soc.
, vol.20
, pp. 829-930
-
-
Coutand, D.1
Shkoller, S.2
-
8
-
-
0001688084
-
An existence theory for water waves and the Boussinesq and Kortewegde Vries scaling limits
-
W. Craig, An existence theory for water waves and the Boussinesq and Kortewegde Vries scaling limits, Comm. Partial Differential Equations 10 (1985), 787-1003.
-
(1985)
Comm. Partial Differential Equations
, vol.10
, pp. 787-1003
-
-
Craig, W.1
-
9
-
-
0034550889
-
Traveling two and three dimensional capillary gravity water waves
-
W. Craig and D. P. Nicholls, Traveling two and three dimensional capillary gravity water waves, SIAM J. Math. Anal. 32 (2000), 323-359.
-
(2000)
SIAM J. Math. Anal.
, vol.32
, pp. 323-359
-
-
Craig, W.1
Nicholls, D.P.2
-
10
-
-
0003956352
-
-
second ed., Princeton Univ. Press, Princeton, NJ
-
G. B. Folland, Introduction to Partial Differential Equations, second ed., Princeton Univ. Press, Princeton, NJ, 1995.
-
(1995)
Introduction to Partial Differential Equations
-
-
Folland, G.B.1
-
12
-
-
84990602599
-
Uniform decay estimates and the Lorentz invariance of the classical wave equation
-
S. Klainerman, Uniform decay estimates and the Lorentz invariance of the classical wave equation, Comm. Pure Appl. Math. 38 (1985), 321-332.
-
(1985)
Comm. Pure Appl. Math.
, vol.38
, pp. 321-332
-
-
Klainerman, S.1
-
13
-
-
22544482964
-
Well-posedness of the water-waves equations
-
D. Lannes, Well-posedness of the water-waves equations, J. Amer. Math. Soc. 18 (2005), 605-654.
-
(2005)
J. Amer. Math. Soc.
, vol.18
, pp. 605-654
-
-
Lannes, D.1
-
14
-
-
36248997661
-
Paraproducts with flag singularities. I. A case study
-
C. Muscalu, Paraproducts with flag singularities. I. A case study, Rev. Mat. Iberoam. 23 (2007), 705-742.
-
(2007)
Rev. Mat. Iberoam.
, vol.23
, pp. 705-742
-
-
Muscalu, C.1
-
15
-
-
0000306561
-
The Cauchy-Poisson problem
-
V. I. Nalimov, The Cauchy-Poisson problem, Dinamika Splošn. Sredy (1974), 104-210, 254.
-
(1974)
Dinamika Splošn. Sredy
, vol.104-210
, pp. 254
-
-
Nalimov, V.I.1
-
16
-
-
0036951682
-
Free boundary problem for an incompressible ideal fluid with surface tension
-
M. Ogawa and A. Tani, Free boundary problem for an incompressible ideal fluid with surface tension, Math. Models Methods Appl. Sci. 12 (2002), 1725-1740.
-
(2002)
Math. Models Methods Appl. Sci.
, vol.12
, pp. 1725-1740
-
-
Ogawa, M.1
Tani, A.2
-
17
-
-
0036012969
-
The rigorous approximation of long-wavelength capillary-gravity waves
-
G. Schneider and C. E. Wayne, The rigorous approximation of long-wavelength capillary-gravity waves, Arch. Ration. Mech. Anal. 162 (2002), 247-285.
-
(2002)
Arch. Ration. Mech. Anal.
, vol.162
, pp. 247-285
-
-
Schneider, G.1
Wayne, C.E.2
-
18
-
-
84990623722
-
Normal forms and quadratic nonlinear Klein-Gordon equations
-
J. Shatah, Normal forms and quadratic nonlinear Klein-Gordon equations, Comm. Pure Appl. Math. 38 (1985), 685-696.
-
(1985)
Comm. Pure Appl. Math.
, vol.38
, pp. 685-696
-
-
Shatah, J.1
-
19
-
-
52349104032
-
Geometry and a priori estimates for free boundary problems of the Euler equation
-
J. Shatah and C. Zeng, Geometry and a priori estimates for free boundary problems of the Euler equation, Comm. Pure Appl. Math. 61 (2008), 698-744.
-
(2008)
Comm. Pure Appl. Math.
, vol.61
, pp. 698-744
-
-
Shatah, J.1
Zeng, C.2
-
20
-
-
78751704957
-
Local well-posedness for fluid interface problems
-
J. Shatah and C. Zeng, Local well-posedness for fluid interface problems, Arch. Ration. Mech. Anal. 199 (2011), 653-705.
-
(2011)
Arch. Ration. Mech. Anal.
, vol.199
, pp. 653-705
-
-
Shatah, J.1
Zeng, C.2
-
21
-
-
0003552286
-
Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals, Princeton Math. Series
-
Princeton Univ. Press, Princeton, NJ
-
E. M. Stein, Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals, Princeton Math. Series 43, Princeton Univ. Press, Princeton, NJ, 1993.
-
(1993)
, vol.43
-
-
Stein, E.M.1
-
22
-
-
0003517185
-
-
Princeton Univ. Press, Princeton, N.J., Princeton Math. Series
-
E. M. Stein and G. Weiss, Introduction to Fourier Analysis on Euclidean Spaces, 32, Princeton Univ. Press, Princeton, N.J., 1971, Princeton Math. Series.
-
(1971)
Introduction to Fourier Analysis on Euclidean Spaces
, vol.32
-
-
Stein, E.M.1
Weiss, G.2
-
23
-
-
0003405464
-
-
Springer-Verlag, New York
-
C. Sulem and P.-L. Sulem, The Nonlinear Schrödinger Equation. Self-Focusing and Wave Collapse, Appl. Math. Sci. 139, Springer-Verlag, New York, 1999.
-
(1999)
The Nonlinear Schrödinger Equation. Self-Focusing and Wave Collapse, Appl. Math. Sci.
, vol.139
-
-
Sulem, C.1
Sulem, P.-L.2
-
24
-
-
0031506263
-
Well-posedness in Sobolev spaces of the full water wave problem in 2-D
-
S. Wu, Well-posedness in Sobolev spaces of the full water wave problem in 2-D, Invent. Math. 130 (1997), 39-72.
-
(1997)
Invent. Math.
, vol.130
, pp. 39-72
-
-
Wu, S.1
-
25
-
-
0033446356
-
Well-posedness in Sobolev spaces of the full water wave problem in 3-D
-
S. Wu, Well-posedness in Sobolev spaces of the full water wave problem in 3-D, J. Amer. Math. Soc. 12 (1999), 445-495.
-
(1999)
J. Amer. Math. Soc.
, vol.12
, pp. 445-495
-
-
Wu, S.1
-
26
-
-
67650433790
-
Almost global wellposedness of the 2-D full water wave problem
-
to appear
-
S. Wu, Almost global wellposedness of the 2-D full water wave problem, 2009, Invent. Math., to appear.
-
(2009)
Invent. Math.
-
-
Wu, S.1
-
28
-
-
85009585833
-
Gravity waves on the free surface of an incompressible perfect fluid of finite depth
-
H. Yosihara, Gravity waves on the free surface of an incompressible perfect fluid of finite depth, Publ. Res. Inst. Math. Sci. 18 (1982), 49-96.
-
(1982)
Publ. Res. Inst. Math. Sci.
, vol.18
, pp. 49-96
-
-
Yosihara, H.1
-
29
-
-
52349109943
-
On the free boundary problem of three-dimensional incompressible Euler equations
-
P. Zhang and Z. Zhang, On the free boundary problem of three-dimensional incompressible Euler equations, Comm. Pure Appl. Math. 61 (2008).
-
(2008)
Comm. Pure Appl. Math.
, vol.61
-
-
Zhang, P.1
Zhang, Z.2
|