A nonlinear stability analysis of a model equation for alloy solidification
J. Phys. France, 45 3 (1984) 505-516
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Pattern formation in directional solidification under shear flow. I. Linear stability analysis and basic patterns
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https://doi.org/10.1103/PhysRevE.63.066301
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David J. Wollkind and Laura E. StephensonSIAM Journal on Applied Mathematics 61 (2) 387 (2000)
https://doi.org/10.1137/S0036139997326211
Cellular structures in three-dimensional directional solidification: Simulation and analysis
K. Kassner, J.-M. Debierre, B. Billia, N. Noël and H. JamgotchianPhysical Review E 57 (3) 2849 (1998)
https://doi.org/10.1103/PhysRevE.57.2849
Nonlinear stability analysis of the growth surface during diamond chemical vapor deposition
Pushpa Mahalingam and David S. DandyJournal of Applied Physics 83 (11) 6061 (1998)
https://doi.org/10.1063/1.367475
Thermal effects on the morphological stability in a directional solidification system with remote flow
Chi-Chuan Hwang, Jin-Yuan Hsieh and Chin-Chan ChuanInternational Journal of Heat and Mass Transfer 39 (16) 3417 (1996)
https://doi.org/10.1016/0017-9310(95)00408-4
Subcritical-supercritical bifurcation crossover in directional solidification
D. Liu, L.M. Williams and H.Z. CumminsPhysical Review E 50 (6) R4286 (1994)
https://doi.org/10.1103/PhysRevE.50.R4286
Nonlinear interface stability analysis of alloy solidification including effects of surface energy
Lei Z. Schlitz and Suresh V. GarimellaJournal of Applied Physics 76 (8) 4863 (1994)
https://doi.org/10.1063/1.357260
Parity breaking in directional solidification: Numerics versus amplitude equations
Wouter-Jan Rappel and Hermann RieckePhysical Review A 45 (2) 846 (1992)
https://doi.org/10.1103/PhysRevA.45.846
Cellular instability in rapid directional solidification: Bifurcation theory
R.J. Braun and S.H. DavisActa Metallurgica et Materialia 40 (10) 2617 (1992)
https://doi.org/10.1016/0956-7151(92)90331-8
Diffusive instabilities in a one-dimensional temperature-dependent model system for a mite predator-prey interaction on fruit trees: dispersal motility and aggregative preytaxis effects
D. J. Wollkind, J. B. Collings and M. C. B. BarbaJournal of Mathematical Biology 29 (4) 339 (1991)
https://doi.org/10.1007/BF00167156
Dynamics of one-dimensional interfaces: an experimentalist's view
J.-M. Flesselles, A.J. Simon and A.J. LibchaberAdvances in Physics 40 (1) 1 (1991)
https://doi.org/10.1080/00018739100101462
Nonlinear Structures in Physical Systems
H. LevineWoodward Conference, Nonlinear Structures in Physical Systems 50 (1990)
https://doi.org/10.1007/978-1-4612-3440-1_4
Oscillatory instability in a model of directional solidification
D.R. JenkinsJournal of Crystal Growth 102 (3) 481 (1990)
https://doi.org/10.1016/0022-0248(90)90406-B
The effect of an electric field on the morphological stability of the crystal-melt interface of a binary alloy III. Weakly nonlinear theory
A.A. Wheeler, G.B. McFadden, S.R. Coriell and D.T.J. HurleJournal of Crystal Growth 100 (1-2) 78 (1990)
https://doi.org/10.1016/0022-0248(90)90611-N
Stability of traveling waves in the Belousov-Zhabotinskii reaction
David A. Kessler and Herbert LevinePhysical Review A 41 (10) 5418 (1990)
https://doi.org/10.1103/PhysRevA.41.5418
Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems
David A. Kessler and Herbert LevineNATO ASI Series, Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems 225 299 (1990)
https://doi.org/10.1007/978-1-4684-5793-3_29
Patterns, Defects and Materials Instabilities
Herbert LevinePatterns, Defects and Materials Instabilities 123 (1990)
https://doi.org/10.1007/978-94-009-0593-1_11
A nonlinear stability analysis of a fixed-boundary model equation for alloy solidification
D.J. Wollkind and B. ZhangMathematical and Computer Modelling 12 (1) 17 (1989)
https://doi.org/10.1016/0895-7177(89)90443-3
Steady-state cellular growth during directional solidification
David A. Kessler and Herbert LevinePhysical Review A 39 (6) 3041 (1989)
https://doi.org/10.1103/PhysRevA.39.3041
Hydrodynamic and morphological stability of the unidirectional solidification of a freezing binary alloy: a simple model
S. A. Forth and A. A. WheelerJournal of Fluid Mechanics 202 339 (1989)
https://doi.org/10.1017/S0022112089001217
A nonlinear stability analysis of a model equation for alloy solidification—II
David J. Wollkind and Baohuan ZhangNonlinear Analysis: Theory, Methods & Applications 12 (6) 617 (1988)
https://doi.org/10.1016/0362-546X(88)90019-3
A Nonlinear Stability Analysis of a Model Equation for Liquid Phase Electro-Epitaxial Growth of a Dilute Binary Substance
David J. Wollkind and Shingmin WangSIAM Journal on Applied Mathematics 48 (1) 52 (1988)
https://doi.org/10.1137/0148003
Effect of surface tension anisotropy on cellular morphologies
G.B. McFadden, S.R. Coriell and R.F. SekerkaJournal of Crystal Growth 91 (1-2) 180 (1988)
https://doi.org/10.1016/0022-0248(88)90385-5
Structure and Dynamics of Partially Solidified Systems
A. A. WheelerStructure and Dynamics of Partially Solidified Systems 121 (1987)
https://doi.org/10.1007/978-94-009-3587-7_8
Structure and Dynamics of Partially Solidified Systems
David LoperStructure and Dynamics of Partially Solidified Systems 467 (1987)
https://doi.org/10.1007/978-94-009-3587-7_23
Nonplanar interface morphologies during unidirectional solidification of a binary alloy
G.B. McFadden, R.F. Boisvert and S.R. CoriellJournal of Crystal Growth 84 (3) 371 (1987)
https://doi.org/10.1016/0022-0248(87)90264-8
Structure and Dynamics of Partially Solidified Systems
D. J. WollkindStructure and Dynamics of Partially Solidified Systems 81 (1987)
https://doi.org/10.1007/978-94-009-3587-7_5
The effect of latent heat on weakly non-linear morphological stability
J.Iwan D. Alexander, David J. Wollkind and Robert F. SekerkaJournal of Crystal Growth 79 (1-3) 849 (1986)
https://doi.org/10.1016/0022-0248(86)90565-8
Liquid-solid interface stability
V.N. Lozovskii, A.N. Ovcharenko and V.P. PopovProgress in Crystal Growth and Characterization 13 (3) 145 (1986)
https://doi.org/10.1016/0146-3535(86)90018-3