-
1
-
-
0027534286
-
Singularity formation during Rayleigh-Taylor instability
-
G. R. Baker, Russel E. Caflisch, and Michael Siegel, Singularity formation during Rayleigh-Taylor instability, Journal of Fluid Mechanics 252 (1993), 51-78. MR 94e:76034
-
(1993)
Journal of Fluid Mechanics
, vol.252
, pp. 51-78
-
-
Baker, G.R.1
Caflisch, R.E.2
Siegel, M.3
-
2
-
-
0027534286
-
-
G. R. Baker, Russel E. Caflisch, and Michael Siegel, Singularity formation during Rayleigh-Taylor instability, Journal of Fluid Mechanics 252 (1993), 51-78. MR 94e:76034
-
MR
, vol.94 E
, pp. 76034
-
-
-
3
-
-
84990576574
-
Growth rates for the linearized motion of fluid interfaces away from equilibrium
-
J. T. Beale, T. Y. Hou, and J. Lowengrub, Growth rates for the linearized motion of fluid interfaces away from equilibrium, Comm. Pure Appl. Math. 46 (1993), 1269-1301. MR 95c:76016
-
(1993)
Comm. Pure Appl. Math.
, vol.46
, pp. 1269-1301
-
-
Beale, J.T.1
Hou, T.Y.2
Lowengrub, J.3
-
4
-
-
84990576574
-
-
J. T. Beale, T. Y. Hou, and J. Lowengrub, Growth rates for the linearized motion of fluid interfaces away from equilibrium, Comm. Pure Appl. Math. 46 (1993), 1269-1301. MR 95c:76016
-
MR
, vol.95 C
, pp. 76016
-
-
-
5
-
-
5944252146
-
On the well-posedness of two fluid interfacial flows with surface tension
-
NATO ASI Series, Kluwer
-
_, On the well-posedness of two fluid interfacial flows with surface tension, in Singularities in Fluids, Plasmas and Optics (R. C. Caflisch and G. Papanicolau, editors), NATO ASI Series, Kluwer, 1993, pp. 11-38.
-
(1993)
Singularities in Fluids, Plasmas and Optics
, pp. 11-38
-
-
Caflisch, R.C.1
Papanicolau, G.2
-
6
-
-
1542680901
-
Convergence of boundary integral methods for water waves
-
_, Convergence of boundary integral methods for water waves, SIAM J. Num. Anal. 33 (1996), 1797-1843. MR 89b:76009
-
(1996)
SIAM J. Num. Anal.
, vol.33
, pp. 1797-1843
-
-
-
7
-
-
1542680901
-
-
_, Convergence of boundary integral methods for water waves, SIAM J. Num. Anal. 33 (1996), 1797-1843. MR 89b:76009
-
MR
, vol.89 B
, pp. 76009
-
-
-
8
-
-
84990556256
-
Long time existence for a slightly perturbed vortex sheet
-
R. Caflisch and O. Orellana, Long time existence for a slightly perturbed vortex sheet, Comm. Pure Appl. Math. 39 (1986), 807-838. MR 87m:76018
-
(1986)
Comm. Pure Appl. Math.
, vol.39
, pp. 807-838
-
-
Caflisch, R.1
Orellana, O.2
-
9
-
-
84990556256
-
-
R. Caflisch and O. Orellana, Long time existence for a slightly perturbed vortex sheet, Comm. Pure Appl. Math. 39 (1986), 807-838. MR 87m:76018
-
MR
, vol.87 M
, pp. 76018
-
-
-
10
-
-
0001747831
-
Singular solutions and ill-posedness for the evolution of vortex sheets
-
_, Singular solutions and ill-posedness for the evolution of vortex sheets, SIAM J. Math Anal. 20 (1989), 293-307. MR 90d:76020
-
(1989)
SIAM J. Math Anal.
, vol.20
, pp. 293-307
-
-
-
11
-
-
0040567818
-
-
_, Singular solutions and ill-posedness for the evolution of vortex sheets, SIAM J. Math Anal. 20 (1989), 293-307. MR 90d:76020
-
MR
, vol.90 D
, pp. 76020
-
-
-
12
-
-
84968519480
-
A simplified version of the abstract Cauchy-Kowalewski theorem with weak singularities
-
R. E. Caflisch, A simplified version of the abstract Cauchy-Kowalewski Theorem with weak singularities, Bull. Amer. Math. Soc. 23 (1990), 495-500. MR 91f:35008
-
(1990)
Bull. Amer. Math. Soc.
, vol.23
, pp. 495-500
-
-
Caflisch, R.E.1
-
13
-
-
84968519480
-
-
R. E. Caflisch, A simplified version of the abstract Cauchy-Kowalewski Theorem with weak singularities, Bull. Amer. Math. Soc. 23 (1990), 495-500. MR 91f:35008
-
MR
, vol.91 F
, pp. 35008
-
-
-
14
-
-
0001528484
-
Convergence of the vortex method for vortex sheets
-
Russel E. Caflisch and John S. Lowengrub, Convergence of the vortex method for vortex sheets, SIAM J. Numer. Anal. 26 (1989), 1060-1080. MR 91g:76073
-
(1989)
SIAM J. Numer. Anal.
, vol.26
, pp. 1060-1080
-
-
Caflisch, R.E.1
Lowengrub, J.S.2
-
15
-
-
0040124986
-
-
Russel E. Caflisch and John S. Lowengrub, Convergence of the vortex method for vortex sheets, SIAM J. Numer. Anal. 26 (1989), 1060-1080. MR 91g:76073
-
MR
, vol.91 G
, pp. 76073
-
-
-
16
-
-
0032668333
-
On the formation of Moore curvature singularities in vortex sheets
-
submitted
-
S. J. Cowley, G. R. Baker, and S. Tanveer, On the formation of Moore curvature singularities in vortex sheets, J. Fluid Mech., submitted.
-
J. Fluid Mech.
-
-
Cowley, S.J.1
Baker, G.R.2
Tanveer, S.3
-
17
-
-
0027533017
-
A numerical study of the effect of surface tension and noise on an expanding Hele-Shaw bubble
-
W. S. Dai and M. J. Shelley, A numerical study of the effect of surface tension and noise on an expanding Hele-Shaw bubble, Phys. Fluids A 5 (1993), pp. 2131-2146.
-
(1993)
Phys. Fluids A
, vol.5
, pp. 2131-2146
-
-
Dai, W.S.1
Shelley, M.J.2
-
18
-
-
0022681535
-
A boundary integral method for two phase displacement in Hele-Shaw cells
-
A. J. DeGregoria and L. W. Schwartz, A boundary integral method for two phase displacement in Hele-Shaw cells, J. Fluid Mech. 164 (1986), 383-400. MR 87h:76073
-
(1986)
J. Fluid Mech.
, vol.164
, pp. 383-400
-
-
DeGregoria, A.J.1
Schwartz, L.W.2
-
19
-
-
0022681535
-
-
A. J. DeGregoria and L. W. Schwartz, A boundary integral method for two phase displacement in Hele-Shaw cells, J. Fluid Mech. 164 (1986), 383-400. MR 87h:76073
-
MR
, vol.87 H
, pp. 76073
-
-
-
20
-
-
0013229088
-
Global vortex sheet solutions of Euler equations in the plane
-
J. Duchon and R. Robert, Global vortex sheet solutions of Euler equations in the plane, J. Diff. Eqn. 73 (1988), 215-224. MR 89h:35262
-
(1988)
J. Diff. Eqn.
, vol.73
, pp. 215-224
-
-
Duchon, J.1
Robert, R.2
-
21
-
-
0013229088
-
-
J. Duchon and R. Robert, Global vortex sheet solutions of Euler equations in the plane, J. Diff. Eqn. 73 (1988), 215-224. MR 89h:35262
-
MR
, vol.89 H
, pp. 35262
-
-
-
23
-
-
0039975032
-
-
H. Dym and H. McKean, Fourier Series and Integrals, Academic Press, New York, 1972. MR 56:945
-
MR
, vol.56
, pp. 945
-
-
-
24
-
-
0026137905
-
Convergence of a point vortex method for vortex sheets
-
T. Y. Hou, J. Lowengrub, and R. Krasny, Convergence of a point vortex method for vortex sheets, SIAM J. Numer. Anal. 28 (1991), 308-320. MR 92d:65153
-
(1991)
SIAM J. Numer. Anal.
, vol.28
, pp. 308-320
-
-
Hou, T.Y.1
Lowengrub, J.2
Krasny, R.3
-
25
-
-
0026137905
-
-
T. Y. Hou, J. Lowengrub, and R. Krasny, Convergence of a point vortex method for vortex sheets, SIAM J. Numer. Anal. 28 (1991), 308-320. MR 92d:65153
-
MR
, vol.92 D
, pp. 65153
-
-
-
26
-
-
0022735928
-
A study of singularity formation in a vortex sheet by the point-vortex approximation
-
R. Krasny, A study of singularity formation in a vortex sheet by the point-vortex approximation, J. Fluid Mechanics 167 (1986), 65-93. MR 87g:76028
-
(1986)
J. Fluid Mechanics
, vol.167
, pp. 65-93
-
-
Krasny, R.1
-
27
-
-
0022735928
-
-
R. Krasny, A study of singularity formation in a vortex sheet by the point-vortex approximation, J. Fluid Mechanics 167 (1986), 65-93. MR 87g:76028
-
MR
, vol.87 G
, pp. 76028
-
-
-
28
-
-
0019933212
-
Analytic structure of vortex sheet dynamics, part 1, Kelvin-Helmholtz instability
-
D. I. Meiron, G. R. Baker, and S. A. Orszag, Analytic structure of vortex sheet dynamics, part 1, Kelvin-Helmholtz Instability, J. Fluid Mech. 114 (1982), 283-298. MR 83c:76017
-
(1982)
J. Fluid Mech.
, vol.114
, pp. 283-298
-
-
Meiron, D.I.1
Baker, G.R.2
Orszag, S.A.3
-
29
-
-
0019933212
-
-
D. I. Meiron, G. R. Baker, and S. A. Orszag, Analytic structure of vortex sheet dynamics, part 1, Kelvin-Helmholtz Instability, J. Fluid Mech. 114 (1982), 283-298. MR 83c:76017
-
MR
, vol.83 C
, pp. 76017
-
-
-
30
-
-
0013731938
-
The spontaneous appearance of a singularity in the shape of an evolving vortex sheet
-
D. W. Moore, The spontaneous appearance of a singularity in the shape of an evolving vortex sheet, PTOC. Roy. Soc. London A 365 (1979), 105-119. MR 80b:76006
-
(1979)
Ptoc. Roy. Soc. London A
, vol.365
, pp. 105-119
-
-
Moore, D.W.1
-
31
-
-
0013731938
-
-
D. W. Moore, The spontaneous appearance of a singularity in the shape of an evolving vortex sheet, PTOC. Roy. Soc. London A 365 (1979), 105-119. MR 80b:76006
-
MR
, vol.80 B
, pp. 76006
-
-
-
32
-
-
84972536320
-
An abstract form of the nonlinear Cauchy-Kowalewski theorem
-
L. Nirenberg, An abstract form of the nonlinear Cauchy-Kowalewski theorem, J. Diff. Geom. 6 (1972), 561-576. MR 48:683
-
(1972)
J. Diff. Geom.
, vol.6
, pp. 561-576
-
-
Nirenberg, L.1
-
33
-
-
84972536320
-
-
L. Nirenberg, An abstract form of the nonlinear Cauchy-Kowalewski theorem, J. Diff. Geom. 6 (1972), 561-576. MR 48:683
-
MR
, vol.48
, pp. 683
-
-
-
34
-
-
84972513394
-
A note on a theorem of Nirenberg
-
T. Nishida, A note on a theorem of Nirenberg, J. Diff. Geom. 12 (1977), 629-633. MR 80a:58013
-
(1977)
J. Diff. Geom.
, vol.12
, pp. 629-633
-
-
Nishida, T.1
-
35
-
-
84972513394
-
-
T. Nishida, A note on a theorem of Nirenberg, J. Diff. Geom. 12 (1977), 629-633. MR 80a:58013
-
MR
, vol.80 A
, pp. 58013
-
-
-
36
-
-
0001383598
-
The penetration of a fluid into a porous medium of a Hele-Shaw cell containing a more viscous fluid
-
P. G. Saffman and G. I. Taylor, The penetration of a fluid into a porous medium of a Hele-Shaw cell containing a more viscous fluid, Proc. Royal Soc. London Ser. A 245 (1958), 312-329. MR 20:3697
-
(1958)
Proc. Royal Soc. London Ser. A
, vol.245
, pp. 312-329
-
-
Saffman, P.G.1
Taylor, G.I.2
-
37
-
-
0041161984
-
-
P. G. Saffman and G. I. Taylor, The penetration of a fluid into a porous medium of a Hele-Shaw cell containing a more viscous fluid, Proc. Royal Soc. London Ser. A 245 (1958), 312-329. MR 20:3697
-
MR
, vol.20
, pp. 3697
-
-
-
38
-
-
84990709710
-
The abstract Cauchy-Kovalevskaya theorem in a weighted Banach space
-
M. V. Safonov, The abstract Cauchy-Kovalevskaya theorem in a weighted Banach space, Comm. Pure Appl. Math. 48 (1995), 629-637. MR 96g:35002
-
(1995)
Comm. Pure Appl. Math.
, vol.48
, pp. 629-637
-
-
Safonov, M.V.1
-
39
-
-
84990709710
-
-
M. V. Safonov, The abstract Cauchy-Kovalevskaya theorem in a weighted Banach space, Comm. Pure Appl. Math. 48 (1995), 629-637. MR 96g:35002
-
MR
, vol.96 G
, pp. 35002
-
-
-
40
-
-
0026809542
-
A study of singularity formation in vortex sheet motion by a spectrally accurate vortex method
-
M. J. Shelley, A study of singularity formation in vortex sheet motion by a spectrally accurate vortex method, J. Fluid Mech. 244 (1992), 493-526. MR 93g:73065
-
(1992)
J. Fluid Mech.
, vol.244
, pp. 493-526
-
-
Shelley, M.J.1
-
41
-
-
0026809542
-
-
M. J. Shelley, A study of singularity formation in vortex sheet motion by a spectrally accurate vortex method, J. Fluid Mech. 244 (1992), 493-526. MR 93g:73065
-
MR
, vol.93 G
, pp. 73065
-
-
-
42
-
-
0038247451
-
Finite time analyticity for the two and three dimensional Kelvin-Helmholtz instability
-
C. Sulem, P. L. Sulem, C. Bardos, and U. Frisch, Finite time analyticity for the two and three dimensional Kelvin-Helmholtz instability, Comm. Math. Phys. 80 (1981), 485-516. MR 83d:76012
-
(1981)
Comm. Math. Phys.
, vol.80
, pp. 485-516
-
-
Sulem, C.1
Sulem, P.L.2
Bardos, C.3
Frisch, U.4
-
43
-
-
0038247451
-
-
C. Sulem, P. L. Sulem, C. Bardos, and U. Frisch, Finite time analyticity for the two and three dimensional Kelvin-Helmholtz instability, Comm. Math. Phys. 80 (1981), 485-516. MR 83d:76012
-
MR
, vol.83 D
, pp. 76012
-
-
-
44
-
-
0000635210
-
Numerical simulations of the Rayleigh-Taylor problem
-
G. Tryggvason, Numerical simulations of the Rayleigh-Taylor problem, J. Computational Phys. 75 (1988), 253.
-
(1988)
J. Computational Phys.
, vol.75
, pp. 253
-
-
Tryggvason, G.1
-
45
-
-
0020846412
-
Numerical experiments on Hele-Shaw flows with a sharp interface
-
G. Tryggvason and H. Aref, Numerical experiments on Hele-Shaw flows with a sharp interface, J. Fluid Mech. 136 (1983), 1-30.
-
(1983)
J. Fluid Mech.
, vol.136
, pp. 1-30
-
-
Tryggvason, G.1
Aref, H.2
|