-
1
-
-
0036013603
-
The world of the complex Ginzburg-Landau equation
-
I. S. ARANSON AND L. KRAMER, The world of the complex Ginzburg-Landau equation, Rev. Modern Phys., 74 (2002), pp. 99-143.
-
(2002)
Rev. Modern Phys.
, vol.74
, pp. 99-143
-
-
Aranson, I.S.1
Kramer, L.2
-
2
-
-
12044252828
-
Pattern-formation outside of equilibrium
-
M. C. CROSS AND P. C. HOHENBERG, Pattern-formation outside of equilibrium, Rev. Modern Phys., 65 (1993), pp. 851-1112.
-
(1993)
Rev. Modern Phys.
, vol.65
, pp. 851-1112
-
-
Cross, M.C.1
Hohenberg, P.C.2
-
3
-
-
0002270864
-
Order parameter equations for long-wavelength instabilities
-
A. A. NEPOMNYASHCHY, Order parameter equations for long-wavelength instabilities, Phys. D, 86 (1995), pp. 90-95.
-
(1995)
Phys. D
, vol.86
, pp. 90-95
-
-
Nepomnyashchy, A.A.1
-
4
-
-
0000507179
-
Persistent propagation of concentration waves in dissipative media far from thermal equilibrium
-
Y. KURAMOTO AND T. TSUZUKI, Persistent propagation of concentration waves in dissipative media far from thermal equilibrium, Progr. Theoret. Phys., 55 (1976), pp. 356-369.
-
(1976)
Progr. Theoret. Phys.
, vol.55
, pp. 356-369
-
-
Kuramoto, Y.1
Tsuzuki, T.2
-
5
-
-
0017554878
-
Nonlinear analysis of hydrodynamic instability in laminar flames. I. Derivation of basic equations
-
G. I. SIVASHINSKY, Nonlinear analysis of hydrodynamic instability in laminar flames. I. Derivation of basic equations, Acta Astronaut., 4 (1977), pp. 1177-1206.
-
(1977)
Acta Astronaut.
, vol.4
, pp. 1177-1206
-
-
Sivashinsky, G.I.1
-
6
-
-
0013023244
-
Model equations for wavy viscous film flow
-
Nonlinear Wave Motion, AMS, Providence, RI
-
G. M. HOMSY, Model equations for wavy viscous film flow, in Nonlinear Wave Motion, Lect. Appl. Math. 15, AMS, Providence, RI, 1974, pp. 191-194.
-
(1974)
Lect. Appl. Math.
, vol.15
, pp. 191-194
-
-
Homsy, G.M.1
-
7
-
-
0000160238
-
Stability of the wavy regimes in the film flowing down an inclined plane
-
A. A. NEPOMNYASHCHY, Stability of the wavy regimes in the film flowing down an inclined plane, Fluid. Dynam., 9 (1974), pp. 354-359.
-
(1974)
Fluid. Dynam.
, vol.9
, pp. 354-359
-
-
Nepomnyashchy, A.A.1
-
8
-
-
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, Phys. D, 26 (1987), pp. 403-410.
-
(1987)
Phys. D
, vol.26
, pp. 403-410
-
-
Novick-Cohen, A.1
-
9
-
-
0001183384
-
On the weakly nonlinear evolution of a perturbed planar solid-liquid interface
-
M. L. FRANKEL, On the weakly nonlinear evolution of a perturbed planar solid-liquid interface, Phys. D, 27 (1987), pp. 260-266.
-
(1987)
Phys. D
, vol.27
, pp. 260-266
-
-
Frankel, M.L.1
-
10
-
-
0000808009
-
Growth from a hypercooled melt near absolute stability
-
A. UMANTSEV AND S. H. DAVIS, Growth from a hypercooled melt near absolute stability, Phys. Rev. A, 45 (1992), pp. 7195-7201.
-
(1992)
Phys. Rev. A
, vol.45
, pp. 7195-7201
-
-
Umantsev, A.1
Davis, S.H.2
-
11
-
-
0017269252
-
Nonlinear saturation of dissipative trapped ion mode by mode coupling
-
B. I. COHEN, J. A. KROMMES, W. M. TANG, AND M. N. ROSENBLUTH, Nonlinear saturation of dissipative trapped ion mode by mode coupling, Nuclear Fusion, 16 (1976), pp. 971-992.
-
(1976)
Nuclear Fusion
, vol.16
, pp. 971-992
-
-
Cohen, B.I.1
Krommes, J.A.2
Tang, W.M.3
Rosenbluth, M.N.4
-
12
-
-
0022755962
-
Viscoelastic behavior of cellular solutions to the Kuramoto-Sivashinsky model
-
U. FRISCH, Z. S. SHE, AND O. THUAL, Viscoelastic behavior of cellular solutions to the Kuramoto-Sivashinsky model, J. Fluid Mech., 168 (1986), pp. 221-240.
-
(1986)
J. Fluid Mech.
, vol.168
, pp. 221-240
-
-
Frisch, U.1
She, Z.S.2
Thual, O.3
-
13
-
-
0000244322
-
Reduced model showing chemical turbulence
-
T. YAMADA AND Y. KURAMOTO, Reduced model showing chemical turbulence, Progr. Theoret. Phys., 56 (1976), pp. 681-683.
-
(1976)
Progr. Theoret. Phys.
, vol.56
, pp. 681-683
-
-
Yamada, T.1
Kuramoto, Y.2
-
14
-
-
0003799489
-
-
Cambridge University Press, Cambridge, UK
-
T. BOHR, M. H. JENSEN, G. PALADIN, AND A. VULPIANI, Dynamical System Approach to Turbulence, Cambridge University Press, Cambridge, UK, 1998.
-
(1998)
Dynamical System Approach to Turbulence
-
-
Bohr, T.1
Jensen, M.H.2
Paladin, G.3
Vulpiani, A.4
-
15
-
-
33746012315
-
Free energy of nonuniform systems. I. Interfacial free energy
-
J. W. CAHN AND J. E. MILLIARD, Free energy of nonuniform systems. I. Interfacial free energy, J. Chem. Phys., 28 (1958), pp. 258-267.
-
(1958)
J. Chem. Phys.
, vol.28
, pp. 258-267
-
-
Cahn, J.W.1
Milliard, J.E.2
-
16
-
-
0016118199
-
Vector thermodynamics for anisotropic surfaces. II. Curved and faceted surfaces
-
J. W. CAHN AND D. W. HOFFMAN, Vector thermodynamics for anisotropic surfaces. II. Curved and faceted surfaces, Acta Metall., 22 (1974), pp. 1205-1214.
-
(1974)
Acta Metall.
, vol.22
, pp. 1205-1214
-
-
Cahn, J.W.1
Hoffman, D.W.2
-
17
-
-
0000755219
-
Spinodal decomposition of a crystal surface
-
J. STEWART AND N. GOLDENFELD, Spinodal decomposition of a crystal surface, Phys. Rev. A, 46 (1992), pp. 6505-6512.
-
(1992)
Phys. Rev. A
, vol.46
, pp. 6505-6512
-
-
Stewart, J.1
Goldenfeld, N.2
-
18
-
-
49349139018
-
Stability of secondary flows of a viscous fluid in unbounded space
-
A. A. NEPOMNYASHCHY, Stability of secondary flows of a viscous fluid in unbounded space, J. Appl. Math. Mech., 40 (1976), pp. 836-841.
-
(1976)
J. Appl. Math. Mech.
, vol.40
, pp. 836-841
-
-
Nepomnyashchy, A.A.1
-
19
-
-
0000066934
-
Domain boundaries in convective patterns
-
B. A. MALOMED, A. A. NEPOMNYASHCHY, AND M. I. TRIBELSKY, Domain boundaries in convective patterns, Phys. Rev. A, 42 (1990), pp. 7244-7263.
-
(1990)
Phys. Rev. A
, vol.42
, pp. 7244-7263
-
-
Malomed, B.A.1
Nepomnyashchy, A.A.2
Tribelsky, M.I.3
-
20
-
-
0001946235
-
Theory of spinodal decomposition in alloys
-
J. S. LANGER, Theory of spinodal decomposition in alloys, Ann. Phys. (New York), 65 (1971), pp. 53-86.
-
(1971)
Ann. Phys. (New York)
, vol.65
, pp. 53-86
-
-
Langer, J.S.1
-
21
-
-
49049141478
-
Kink dynamics in one-dimensional non-linear systems
-
K. KAWASAKI AND T. OHTA, Kink dynamics in one-dimensional non-linear systems, Phys. A, 116 (1982), pp. 573-593.
-
(1982)
Phys. A
, vol.116
, pp. 573-593
-
-
Kawasaki, K.1
Ohta, T.2
-
22
-
-
0001196888
-
On the slow dynamics for the Cahn-Hilliard equation in one space dimension
-
L. BRONSARD AND D. HILHORST, On the slow dynamics for the Cahn-Hilliard equation in one space dimension, Proc. Roy. Soc. London A, 439 (1992), pp. 669-682.
-
(1992)
Proc. Roy. Soc. London A
, vol.439
, pp. 669-682
-
-
Bronsard, L.1
Hilhorst, D.2
-
23
-
-
0001015096
-
Theory on morphological instability in driven systems
-
K. LEUNG, Theory on morphological instability in driven systems, J. Statist. Phys., 61 (1990), pp. 345-364.
-
(1990)
J. Statist. Phys.
, vol.61
, pp. 345-364
-
-
Leung, K.1
-
24
-
-
0000926846
-
Phase separation dynamics in driven diffusive systems
-
C. YEUNG, T. ROGERS, A. HERNANDES-MACHADO, AND D. JASNOW, Phase separation dynamics in driven diffusive systems, J. Statist. Phys., 66 (1992), pp. 1071-1088.
-
(1992)
J. Statist. Phys.
, vol.66
, pp. 1071-1088
-
-
Yeung, C.1
Rogers, T.2
Hernandes-Machado, A.3
Jasnow, D.4
-
25
-
-
0012658793
-
Coarsening dynamics of a one-dimensional driven Cahn-Hilliard system
-
C. L. EMMOTT AND A. J. BRAY, Coarsening dynamics of a one-dimensional driven Cahn-Hilliard system, Phys. Rev. E, 54 (1996), pp. 4568-4575.
-
(1996)
Phys. Rev. E
, vol.54
, pp. 4568-4575
-
-
Emmott, C.L.1
Bray, A.J.2
-
26
-
-
0030354757
-
Anisotropy effect on step morphology described by Kuramoto-Sivashinsky equation
-
Y. SAITO AND M. UWAHA, Anisotropy effect on step morphology described by Kuramoto-Sivashinsky equation, J. Phys. Soc. Japan, 65 (1996), pp. 3576-3581.
-
(1996)
J. Phys. Soc. Japan
, vol.65
, pp. 3576-3581
-
-
Saito, Y.1
Uwaha, M.2
-
27
-
-
0000173136
-
Dynamics of phase separation of crystal surfaces
-
F. LIU AND H. METIU, Dynamics of phase separation of crystal surfaces, Phys. Rev. B, 48 (1993), pp. 5808-5817.
-
(1993)
Phys. Rev. B
, vol.48
, pp. 5808-5817
-
-
Liu, F.1
Metiu, H.2
-
28
-
-
0001087994
-
A convective Cahn-Hilliard model for the formation of facets and corners in crystal growth
-
A. A. GOLOVIN, S. H. DAVIS, AND A. A. NEPOMNYASHCHY, A convective Cahn-Hilliard model for the formation of facets and corners in crystal growth, Phys. D, 122 (1998), pp. 202-230.
-
(1998)
Phys. D
, vol.122
, pp. 202-230
-
-
Golovin, A.A.1
Davis, S.H.2
Nepomnyashchy, A.A.3
-
29
-
-
0000170590
-
Model for faceting in a kinetically controlled crystal growth
-
A. A. GOLOVIN, S. H. DAVIS, AND A. A. NEPOMNYASHCHY, Model for faceting in a kinetically controlled crystal growth, Phys. Rev. E, 59 (1999), pp. 803-825.
-
(1999)
Phys. Rev. E
, vol.59
, pp. 803-825
-
-
Golovin, A.A.1
Davis, S.H.2
Nepomnyashchy, A.A.3
-
30
-
-
0034831219
-
Convective Cahn-Hilliard models: From coarsening to roughening
-
A. A. GOLOVIN, A. A. NEPOMNYASHCHY, S. H. DAVIS, AND M. A. ZAKS, Convective Cahn-Hilliard models: From coarsening to roughening, Phys. Rev. Lett., 86 (2001), pp. 1550-1553.
-
(2001)
Phys. Rev. Lett.
, vol.86
, pp. 1550-1553
-
-
Golovin, A.A.1
Nepomnyashchy, A.A.2
Davis, S.H.3
Zaks, M.A.4
-
31
-
-
0037446088
-
Coarsening dynamics of the convective Cahn-Hilliard equation
-
S. J. WATSON, F. OTTO, B. Y. RUBINSTEIN, AND S. H. DAVIS, Coarsening dynamics of the convective Cahn-Hilliard equation, Phys. D, 178 (2003), pp. 127-148.
-
(2003)
Phys. D
, vol.178
, pp. 127-148
-
-
Watson, S.J.1
Otto, F.2
Rubinstein, B.Y.3
Davis, S.H.4
-
32
-
-
0035442744
-
Sliding drops in the diffuse interface model coupled to hydrodynamics
-
paper 061601
-
U. THIELE, M. G. VELARDE, K. NEUFFER, M. BESTEHORN, AND Y. POMEAU, Sliding drops in the diffuse interface model coupled to hydrodynamics, Phys. Rev. E, 64 (2001), paper 061601.
-
(2001)
Phys. Rev. E
, vol.64
-
-
Thiele, U.1
Velarde, M.G.2
Neuffer, K.3
Bestehorn, M.4
Pomeau, Y.5
-
33
-
-
0026909961
-
A regularized equation for anisotropic motion-by-curvature
-
A. DICARLO, M. E. GURTIN, AND P. PODIO-GUIDUGLI, A regularized equation for anisotropic motion-by-curvature, SIAM J. Appl. Math., 52 (1992), pp. 1111-1119.
-
(1992)
SIAM J. Appl. Math.
, vol.52
, pp. 1111-1119
-
-
Dicarlo, A.1
Gurtin, M.E.2
Podio-Guidugli, P.3
-
35
-
-
0001386608
-
Nonlinear aspects of the Cahn-Hilliard equation
-
A. NOVICK-COHEN AND L. A. SEGEL, Nonlinear aspects of the Cahn-Hilliard equation, Phys. D, 10 (1984), pp. 277-298.
-
(1984)
Phys. D
, vol.10
, pp. 277-298
-
-
Novick-Cohen, A.1
Segel, L.A.2
-
36
-
-
0000516438
-
Hierarchy of bifurcations of space-periodic structures in a nonlinear model of active dissipative media
-
YE. A. DEMEKHIN, G. YU. TOKAREV, AND V. YA. SHKADOV, Hierarchy of bifurcations of space-periodic structures in a nonlinear model of active dissipative media, Phys. D, 52 (1991), pp. 338-361.
-
(1991)
Phys. D
, vol.52
, pp. 338-361
-
-
Demekhin, Ye.A.1
Tokarev, G.Yu.2
Shkadov, V.Ya.3
-
37
-
-
0025448183
-
Back in the saddle again: A computer assisted study of the Kuramoto-Sivashinsky equation
-
I. G. KEVREKIDIS, B. NICOLAENKO, AND J. C. SCOVEL, Back in the saddle again: A computer assisted study of the Kuramoto-Sivashinsky equation, SIAM J. Appl. Math., 50 (1990), pp. 760-790.
-
(1990)
SIAM J. Appl. Math.
, vol.50
, pp. 760-790
-
-
Kevrekidis, I.G.1
Nicolaenko, B.2
Scovel, J.C.3
-
38
-
-
0000965877
-
The "cocoon" bifurcations in three-dimensional systems with two fixed points
-
Y.-T. LAU, The "cocoon" bifurcations in three-dimensional systems with two fixed points, Internat. J. Bifur. Chaos Appl. Sci. Engrg., 2 (1992), pp. 543-558.
-
(1992)
Internat. J. Bifur. Chaos Appl. Sci. Engrg.
, vol.2
, pp. 543-558
-
-
Lau, Y.-T.1
-
39
-
-
84966219641
-
Generic bifurcation of periodic points
-
K. R. MEYER, Generic bifurcation of periodic points, Trans. Amer. Math. Soc., 149 (1970), pp. 95-107.
-
(1970)
Trans. Amer. Math. Soc.
, vol.149
, pp. 95-107
-
-
Meyer, K.R.1
-
40
-
-
38249028148
-
Bifurcations of subharmonic solutions in reversible systems
-
J. J. GERVAIS, Bifurcations of subharmonic solutions in reversible systems, J. Differential Equations, 75 (1988), pp. 28-42.
-
(1988)
J. Differential Equations
, vol.75
, pp. 28-42
-
-
Gervais, J.J.1
-
41
-
-
0000974261
-
Noose bifurcation of periodic orbits
-
P. KENT AND J. ELGIN, Noose bifurcation of periodic orbits, Nonlinearity, 4 (1991), pp. 1045-1061.
-
(1991)
Nonlinearity
, vol.4
, pp. 1045-1061
-
-
Kent, P.1
Elgin, J.2
-
42
-
-
0000372241
-
Traveling-waves of the Kuramoto-Sivashinsky equation - Period-multiplying bifurcations
-
P. KENT AND J. ELGIN, Traveling-waves of the Kuramoto-Sivashinsky equation - Period-multiplying bifurcations, Nonlinearity, 5 (1992), pp. 899-919.
-
(1992)
Nonlinearity
, vol.5
, pp. 899-919
-
-
Kent, P.1
Elgin, J.2
-
43
-
-
0003204788
-
Floquet Theory for Partial Differential Equations
-
Birkhäuser-Verlag, Basel, Switzerland
-
P. KUCHMENT, Floquet Theory for Partial Differential Equations, Oper. Theory Adv. Appl. 60, Birkhäuser-Verlag, Basel, Switzerland, 1993.
-
(1993)
Oper. Theory Adv. Appl.
, vol.60
-
-
Kuchment, P.1
-
46
-
-
10044229086
-
When does coarsening occur in the dynamics of one-dimensional fronts?
-
paper 090601
-
P. POLITI AND C. MISBAH, When does coarsening occur in the dynamics of one-dimensional fronts?, Phys. Rev. Lett., 92 (2004), paper 090601.
-
(2004)
Phys. Rev. Lett.
, vol.92
-
-
Politi, P.1
Misbah, C.2
-
47
-
-
7244247096
-
Dynamic phase separation: From coarsening to turbulence via structure formation
-
A. A. GOLOVIN AND L. M. PISMEN, Dynamic phase separation: From coarsening to turbulence via structure formation, Chaos, 14 (2004), pp. 845-854.
-
(2004)
Chaos
, vol.14
, pp. 845-854
-
-
Golovin, A.A.1
Pismen, L.M.2
|