REFERENCES
- Gaines , G. L. Jr. 1996 . Insoluble Monolayers at Liquid-Gas Interfaces , New York : Wiley .
- Shivamoggi , B. K. 1998 . Theoretical Fluid Dynamics , New York : Wiley .
- Smith , K. A. 1966 . On Convective Instability Induced by Surface-Tension Gradients . J. Fluid Mech , vol. 24 : pp. 401 – 414 . part 2
- Davis , S. H. 1987 . Thermocapillary Instabilities . Annu. Rev. Fluid Mech. , vol. 19 : pp. 403 – 435 .
- Schatz , M. F. , VanHook , S. J. , McCormick , W. D. , Swift , J. B. and Swinney , H. L. 1995 . Onset of Surface-Tension Driven Bénard Convection . Phy. Rev. Lett , vol. 75 ( no. 10 ) : pp. 1938 – 1941 .
- Schatz , M. F. , VanHook , S. J. , McCormick , W. D. , Swift , J. B. and Swinney , H. L. 1999 . Time-Independent Square Patterns in Surface-Tension-Driven Bénard Convection . Phys. Fluids , vol. 11 ( no. 9 ) : pp. 2577 – 2582 .
- VanHook , S. J. , Schatz , M. F. , Swift , J. B. , McCormick , W. D. and Swinney , H. L. 1997 . Long-Wavelength Surface-Tension-Driven Bénard Convection: Experiment and Theory . J. Fluid Mech. , vol. 345 : pp. 45 – 78 .
- VanHook , S. J. 1996 . Long-Wavelength Instability in Surface-Tension-Driven Bénard Convection , University of Texas at Austin . Ph.D. thesis
- VanHook , S. J. , Schatz , M. F. , McCormick , W. D. , Swift , J. B. and Swinney , H. L. 1995 . Long-Wavelength Instability in Surface-Tension-Driven Bénard Convection . Phys. Rev. Lett. , vol. 75 ( no. 24 ) : pp. 4397 – 4400 .
- Becerril , R. , VanHook , S. J. and Swift , J. B. 1998 . The Influence of Interface Profile on the Onset of Long-Wavelength Marangoni Convection . Phys. Fluids , vol. 10 ( no. 2 ) : pp. 3230 – 3232 .
- Burgess , J. M. , Juel , A. , McCormick , W. D. , Swift , J. B. and Swinney , H. L. 2001 . Suppression of Dripping from a Ceiling . Phys. Rev. Lett. , vol. 86 : pp. 1203 – 1206 .
- Burgess , J. M. 1999 . Thin Film Instabilities: Rayleigh-Taylor with Thermocapillarityand Kolmogorov Flow in a Soap Film, , , University of Texas at Austin . Ph.D. thesis
- Juel , A. , Burgess , J. M. , McCormick , W. D. , Swift , J. B. and Swinney , H. L. 2000 . Surface Tension-Driven Convection Patterns in Two Liquid Layers . Physica D , vol. 143 : pp. 169 – 186 .
- Oron , A. and Rosenau , P. 1992 . Formation of Patterns Induced by Thermocapillarity and Gravity . J. Phys. II France , vol. 2 : pp. 131 – 146 .
- Joo , S. W. and Davis , S. H. 1991 . On Falling-Film Instabilities and Wave Breaking . Phys. Fluids A , vol. 3 : pp. 231 – 232 .
- Bertozzi , A. L. , Münch , A. and Shearer , M. 1999 . Undercompressive Shocks in Thin Film Flows . Physica D , vol. 134 : pp. 431 – 464 .
- Hocking , L. M. 1987 . The Damping of Capillary-Gravity Waves . J. Fluid Mech. , vol. 179 : pp. 253 – 266 .
- Hocking , L. M. 1987 . Waves Produced by a Vertically Oscillating Plate . J. Fluid Mech. , vol. 179 : pp. 267 – 281 .
- Anderson , D. M. and McFadden , G. B. 1998 . Diffuse-Interface Methods in Fluid Mechanics . Annu. Rev. Fluid Mech. , vol. 30 : pp. 139 – 165 .
- Denniston , C. and Yeomans , J. M. 1999 . Diffuse Interface Simulation of Marangoni Convection . Phys. Chem., Chem. Phys. , vol. 1 : pp. 2157 – 2161 .
- Seppecher , P. 1996 . Moving Contact Lines in the Cahn-Hilliard Theory . Int. J. Eng. Sci. , vol. 34 ( no. 9 ) : pp. 977 – 992 .
- Carey , G. F. 1986 . Finite Elements: Fluid Mechanics , vol. 6 , Englewood Cliffs, NJ : Prentice-Hall .
- Strang , G. and Fix , G. J. 1973 . An Analysis of the Finite Element Method , Englewood Cliffs, NJ : Prentice-Hall .
- Carey , G. F. and Oden , J. T. 1983 . Finite Elements: A Second Course , Englewood Cliffs, NJ : Prentice-Hall .
- Oden , J. T. and Carey , G. F. 1983 . Finite Elements: Mathemetical Aspects , Englewood Cliffs, NJ : Prentice-Hall .
- Wang , X. and Carey , G. F. 2003 . Finite Element Study of a Heated Thin Fluid Layer, including Surfactant Effect ICES Rep. 03-23
- Wang , X. 2002 . Finite Element Study of a Heated Thin Fluid Layer including Surfactant Effect , University of Texas at Austin . Ph.D. thesis
- Seydel , R. 1994 . Practical Bifurcation and Stability Analysis: From Equilibrium to Chaos , New York : Springer-Verlag .
- Wang , X. and Carey , G. F. 2003 . Finite Element Study of a Heated Thin Fluid Layer , TX : The University of Texas at Austin . ICES Rep. 03-35