-
1
-
-
0003706460
-
-
SIAM, Philadelphia, PA
-
E. Anderson et al., LAPACK User's Guide, 2nd ed., SIAM, Philadelphia, PA, 1995.
-
(1995)
LAPACK User's Guide, 2nd Ed.
-
-
Anderson, E.1
-
2
-
-
0040573839
-
Singularities in a modified Kuramoto-Sivashinsky equation describing interface motion for phase transition
-
A.J. Bernoff, A. Bertozzi, Singularities in a modified Kuramoto-Sivashinsky equation describing interface motion for phase transition, Physica D 85 (1995) 375-404.
-
(1995)
Physica D
, vol.85
, pp. 375-404
-
-
Bernoff, A.J.1
Bertozzi, A.2
-
3
-
-
0000757172
-
Cellular growth near absolute stability
-
K. Brattkus, S.H. Davis, Cellular growth near absolute stability, Phys. Rev. B 38 (1988) 452-460.
-
(1988)
Phys. Rev. B
, vol.38
, pp. 452-460
-
-
Brattkus, K.1
Davis, S.H.2
-
4
-
-
0003860402
-
-
Springer, New York, NY
-
P.F. Byrd, M.D. Friedman, Handbook of Elliptic Integrals for Engineers and Scientists, 2nd ed. (rev.), Springer, New York, NY, 1971.
-
(1971)
Handbook of Elliptic Integrals for Engineers and Scientists, 2nd Ed. (Rev.)
-
-
Byrd, P.F.1
Friedman, M.D.2
-
5
-
-
0020247050
-
On the emergence of one-dimensional front instabilities in directional solidification and fusion of binary mixtures
-
B. Caroli, C. Caroli, B. Roulet, On the emergence of one-dimensional front instabilities in directional solidification and fusion of binary mixtures, J. Phys. 43 (1982) 1767-1780.
-
(1982)
J. Phys.
, vol.43
, pp. 1767-1780
-
-
Caroli, B.1
Caroli, C.2
Roulet, B.3
-
6
-
-
0011124455
-
The Mullins-Sekerka instability in directional solidification of thin samples
-
B. Caroli, C. Caroli, B. Roulet, The Mullins-Sekerka instability in directional solidification of thin samples, J. Crystal Growth 76 (1986) 31-49.
-
(1986)
J. Crystal Growth
, vol.76
, pp. 31-49
-
-
Caroli, B.1
Caroli, C.2
Roulet, B.3
-
7
-
-
0005728268
-
Morphological stability
-
D.T.J. Hurle (Ed.), Elsevier, Amsterdam
-
S.R. Coriell, G.B. McFadden, Morphological stability, in: D.T.J. Hurle (Ed.), Handbook of Crystal Growth, Elsevier, Amsterdam, 1993, pp. 785-857.
-
(1993)
Handbook of Crystal Growth
, pp. 785-857
-
-
Coriell, S.R.1
McFadden, G.B.2
-
8
-
-
0000844971
-
Oscillatory morphological instabilities due to non-equilibrium segregation
-
S.R. Coriell, R.F. Sekerka, Oscillatory morphological instabilities due to non-equilibrium segregation, J. Crystal Growth 61 (1983) 499-508.
-
(1983)
J. Crystal Growth
, vol.61
, pp. 499-508
-
-
Coriell, S.R.1
Sekerka, R.F.2
-
9
-
-
0005201454
-
Modified asymptotic approach to modeling a dilute-binary-alloy solidification front
-
J.M. Hyman, A. Novick-Cohen, P. Rosenau, Modified asymptotic approach to modeling a dilute-binary-alloy solidification front, Phys. Rev. B 37 (1988) 7603-7608.
-
(1988)
Phys. Rev. B
, vol.37
, pp. 7603-7608
-
-
Hyman, J.M.1
Novick-Cohen, A.2
Rosenau, P.3
-
10
-
-
0027541457
-
Bifurcation analysis of cellular interfaces in unidirectional solidification of a dilute binary mixture
-
M.D. Impey, D.S. Riley, A.A. Wheeler, Bifurcation analysis of cellular interfaces in unidirectional solidification of a dilute binary mixture, SIAM J. Appl. Math. 53 (1993) 78-95.
-
(1993)
SIAM J. Appl. Math.
, vol.53
, pp. 78-95
-
-
Impey, M.D.1
Riley, D.S.2
Wheeler, A.A.3
-
11
-
-
0025448183
-
Back in the saddle again: A computer-assisted study of the Kuramoto-Sivashinsky equation
-
I.G. Kevrekidis, B. Nicolaenko, J.C. Scovel, Back in the saddle again: a computer-assisted study of the Kuramoto-Sivashinsky equation, SIAM J. Appl. Math. 50 (1990) 760-790.
-
(1990)
SIAM J. Appl. Math.
, vol.50
, pp. 760-790
-
-
Kevrekidis, I.G.1
Nicolaenko, B.2
Scovel, J.C.3
-
12
-
-
33747373111
-
Pattern selection in long-wavelength convection
-
E. Knobloch, Pattern selection in long-wavelength convection, Physica D 41 (1990) 450-479.
-
(1990)
Physica D
, vol.41
, pp. 450-479
-
-
Knobloch, E.1
-
13
-
-
0342583796
-
Instabilities and pattern formation in crystal growth
-
J.S. Langer, Instabilities and pattern formation in crystal growth, Rev. Modern Phys. 52 (1980) 1-28.
-
(1980)
Rev. Modern Phys.
, vol.52
, pp. 1-28
-
-
Langer, J.S.1
-
14
-
-
0029703066
-
Dynamics in directional solidification at nonequilibrium
-
Y.Y. Renardy et al. (Eds.), SIAM, Philadelphia, PA
-
P. Metzener, Dynamics in directional solidification at nonequilibrium, in: Y.Y. Renardy et al. (Eds.), Advances in Multi-fluid Flows, SIAM, Philadelphia, PA, 1996, pp. 131-157.
-
(1996)
Advances in Multi-fluid Flows
, pp. 131-157
-
-
Metzener, P.1
-
16
-
-
0008530148
-
The development of cells during the solidification of a dilute Pb-Sb alloy
-
L.R. Morris, W.C. Winegard, The development of cells during the solidification of a dilute Pb-Sb alloy, J. Crystal Growth 5 (1969) 361-375.
-
(1969)
J. Crystal Growth
, vol.5
, pp. 361-375
-
-
Morris, L.R.1
Winegard, W.C.2
-
17
-
-
36849120852
-
Stability of a planar interface during solidification of a dilute binary alloy
-
W.W. Mullins, R.F. Sekerka, Stability of a planar interface during solidification of a dilute binary alloy, J. Appl. Phys. 35 (1964) 444-451.
-
(1964)
J. Appl. Phys.
, vol.35
, pp. 444-451
-
-
Mullins, W.W.1
Sekerka, R.F.2
-
18
-
-
0346784012
-
Morphological instability in dilute binary systems - A uniform approach
-
A. Nadarajah, R. Narayanan, Morphological instability in dilute binary systems - a uniform approach, PCH PhysicoChem. Hydrod. 11 (1989) 81-102.
-
(1989)
PCH PhysicoChem. Hydrod.
, vol.11
, pp. 81-102
-
-
Nadarajah, A.1
Narayanan, R.2
-
19
-
-
0023346614
-
Interfacial instabilities in directional solidification of dilute binary alloys: The Kuramoto-Sivashinsky equation
-
A. Novick-Cohen, Interfacial instabilities in directional solidification of dilute binary alloys: the Kuramoto-Sivashinsky equation, Physica D 26 (1987) 403-410.
-
(1987)
Physica D
, vol.26
, pp. 403-410
-
-
Novick-Cohen, A.1
-
20
-
-
0041135201
-
Instability of periodic states for the Sivashinsky equation
-
A. Novick-Cohen, Instability of periodic states for the Sivashinsky equation, Quart. Appl. Math. 48 (1990) 217-224.
-
(1990)
Quart. Appl. Math.
, vol.48
, pp. 217-224
-
-
Novick-Cohen, A.1
-
21
-
-
0001141126
-
On Cahn-Hilliard type equations
-
A. Novick-Cohen, On Cahn-Hilliard type equations, Nonlinear Anal. TMA 15 (1990) 797-814 .
-
(1990)
Nonlinear Anal. TMA
, vol.15
, pp. 797-814
-
-
Novick-Cohen, A.1
-
22
-
-
0347414398
-
Blow-up and growth in the directional solidification of dilute binary alloys
-
A. Novick-Cohen, Blow-up and growth in the directional solidification of dilute binary alloys, Appl. Anal. 47 (1992) 241-257.
-
(1992)
Appl. Anal.
, vol.47
, pp. 241-257
-
-
Novick-Cohen, A.1
-
23
-
-
0040541195
-
Counting the stationary states of the Sivashinsky equation
-
A. Novick-Cohen, M. Grinfeld, Counting the stationary states of the Sivashinsky equation, Nonlinear Anal. TMA 24 (1995) 875-881.
-
(1995)
Nonlinear Anal. TMA
, vol.24
, pp. 875-881
-
-
Novick-Cohen, A.1
Grinfeld, M.2
-
24
-
-
0346784017
-
The steady states of one-dimensional Sivashinsky equations
-
A. Novick-Cohen, L.A. Peletier, The steady states of one-dimensional Sivashinsky equations, Appl. Math. Lett. 4 (1991) 69-71.
-
(1991)
Appl. Math. Lett.
, vol.4
, pp. 69-71
-
-
Novick-Cohen, A.1
Peletier, L.A.2
-
25
-
-
0346784014
-
The steady states of one-dimensional Sivashinsky equations
-
A. Novick-Cohen, L.A. Peletier, The steady states of one-dimensional Sivashinsky equations, Quart. Appl. Math. 50 (1992) 759-777.
-
(1992)
Quart. Appl. Math.
, vol.50
, pp. 759-777
-
-
Novick-Cohen, A.1
Peletier, L.A.2
-
26
-
-
0005416923
-
On the solidification front of a dilute binary alloy: Thermal diffusivity effects and breathing solutions
-
A. Novick-Cohen, G.I. Sivashinsky, On the solidification front of a dilute binary alloy: thermal diffusivity effects and breathing solutions, Physica D 20 (1986) 237-258.
-
(1986)
Physica D
, vol.20
, pp. 237-258
-
-
Novick-Cohen, A.1
Sivashinsky, G.I.2
-
27
-
-
84990564046
-
Blowup for nonlinear equations using a comparison principle in Fourier space
-
B. Palais, Blowup for nonlinear equations using a comparison principle in Fourier space, Commun. Pure Appl. Math. XLI (1988) 165-196.
-
(1988)
Commun. Pure Appl. Math.
, vol.41
, pp. 165-196
-
-
Palais, B.1
-
29
-
-
0025416732
-
Long-wave morphological instabilities in the directional solidification of a dilute binary mixture
-
D.S. Riley, S.H. Davis, Long-wave morphological instabilities in the directional solidification of a dilute binary mixture, SIAM J. Appl. Math. 50 (1990) 420-436.
-
(1990)
SIAM J. Appl. Math.
, vol.50
, pp. 420-436
-
-
Riley, D.S.1
Davis, S.H.2
-
30
-
-
0000999835
-
An intrinsic equation of interfacial motion for the solidification of a pure hypercooled melt
-
D.C. Sarocka, A.J. Bernoff, An intrinsic equation of interfacial motion for the solidification of a pure hypercooled melt, Physica D 85 (1995) 348-374.
-
(1995)
Physica D
, vol.85
, pp. 348-374
-
-
Sarocka, D.C.1
Bernoff, A.J.2
-
31
-
-
0020778244
-
On cellular instability in the solidification of a dilute binary alloy
-
G.I. Sivashinsky, On cellular instability in the solidification of a dilute binary alloy, Physica D 8 (1983) 243-248.
-
(1983)
Physica D
, vol.8
, pp. 243-248
-
-
Sivashinsky, G.I.1
-
32
-
-
84974410211
-
On long-wave morphological instabilities in directional solidification
-
A.C. Skeldon, G.B. McFadden, M.D. Impey, D.S. Riley, K.A. Cliffe, A.A. Wheeler, S.H. Davis, On long-wave morphological instabilities in directional solidification, Eur. J. Appl. Math. 6 (1995) 639-652.
-
(1995)
Eur. J. Appl. Math.
, vol.6
, pp. 639-652
-
-
Skeldon, A.C.1
McFadden, G.B.2
Impey, M.D.3
Riley, D.S.4
Cliffe, K.A.5
Wheeler, A.A.6
Davis, S.H.7
-
33
-
-
0041115507
-
A theoretical investigation of the development of interfacial cells during the solidification of a dilute binary alloy: Comparison with the experiments of Morris and Winegard
-
R. Sriranganathan, D.J. Wollkind, D.B. Oulton, A theoretical investigation of the development of interfacial cells during the solidification of a dilute binary alloy: Comparison with the experiments of Morris and Winegard, J. Crystal Growth 62 (1983) 265-283.
-
(1983)
J. Crystal Growth
, vol.62
, pp. 265-283
-
-
Sriranganathan, R.1
Wollkind, D.J.2
Oulton, D.B.3
-
34
-
-
4243503793
-
Cellular interface morphologies in directional solidification III: The effects of heat transfer and solid diffusivity
-
L.H. Ungar, M.J. Bennett, R.A. Brown, Cellular interface morphologies in directional solidification III: the effects of heat transfer and solid diffusivity, Phys. Rev. B 31 (1985) 5923-5930.
-
(1985)
Phys. Rev. B
, vol.31
, pp. 5923-5930
-
-
Ungar, L.H.1
Bennett, M.J.2
Brown, R.A.3
-
35
-
-
0344387212
-
Morphological stability analysis of directional solidification in thin samples with lateral heat transfer
-
J. Vinals, R.F. Sekerka, P.P. Debroy, Morphological stability analysis of directional solidification in thin samples with lateral heat transfer, J. Crystal Growth 89 (1988) 405-414.
-
(1988)
J. Crystal Growth
, vol.89
, pp. 405-414
-
-
Vinals, J.1
Sekerka, R.F.2
Debroy, P.P.3
-
36
-
-
0001424790
-
A nonlinear stability analysis of the freezing of a dilute binary alloy
-
D.J. Wollkind, L.A. Segel, A nonlinear stability analysis of the freezing of a dilute binary alloy, Phil. Trans. R. Soc. London A 268 (1970) 351-380.
-
(1970)
Phil. Trans. R. Soc. London A
, vol.268
, pp. 351-380
-
-
Wollkind, D.J.1
Segel, L.A.2
-
37
-
-
0342549264
-
Directional solidification with buoyancy in systems with small segregation coefficient
-
G.W. Young, S.H. Davis, Directional solidification with buoyancy in systems with small segregation coefficient, Phys. Rev B 34 (1986) 3388-3396.
-
(1986)
Phys. Rev B
, vol.34
, pp. 3388-3396
-
-
Young, G.W.1
Davis, S.H.2
-
38
-
-
0348045160
-
Morphological instabilities in directional solidification of a binary alloy: End effects
-
G.W. Young, S.H. Davis, Morphological instabilities in directional solidification of a binary alloy: end effects, SIAM J. Appl Math. 49 (1989) 152-164.
-
(1989)
SIAM J. Appl Math.
, vol.49
, pp. 152-164
-
-
Young, G.W.1
Davis, S.H.2
-
39
-
-
0023386488
-
Anisotropic interface kinetics and tilted cells in unidirectional solidification
-
G.W. Young, S.H. Davis, K. Brattkus, Anisotropic interface kinetics and tilted cells in unidirectional solidification, J. Crystal Growth 83 (1987) 560-571.
-
(1987)
J. Crystal Growth
, vol.83
, pp. 560-571
-
-
Young, G.W.1
Davis, S.H.2
Brattkus, K.3
|