Explosive instability in a linear system with neutrally stable eigenmodes. Part 2. Multi-dimensional disturbances

Journal of Fluid Mechanics

Volumn 501, Issue , 2004, Pages 105-124

  Benilov, E S ^a  

^a UNIVERSITY OF LIMERICK   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; EIGENVALUES AND EIGENFUNCTIONS; HARMONIC ANALYSIS; LINEAR SYSTEMS; LUBRICATION; THIN FILMS; VISCOSITY;

ASYMPTOTIC EQUATION; LINEAR STABILITY;

FLUID MECHANICS;

DYNAMICS; FILM THICKNESS; INSTABILITY; LUBRICATION; MATHEMATICAL ANALYSIS; MODELING; VISCOUS FLUID;

EID: 1842585776     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112003007237     Document Type: Article

References (10)

1. ABRAMOWITZ, M. & STEGEN, I. 1964 Handbook of Mathematical Functions. Dover.
2. BALMER, R. T. 1970 The hygrocyst - a stability phenomenon in continuum mechanics. Nature 227, 600-601.
3. BENILOV, E. S., O'BRIEN, S. B. G. & SAZONOV, I. A. 2003 A new type of instability: explosive disturbances in a liquid film inside a rotating horizontal cylinder. J. Fluid Mech. 497, 201-224.
4. CHAPMAN, S. J. 2002 Subcritical transition in channel flow. J. Fluid Mech. 451, 35-97.
5. FARREL, B. F. 1982 Modal and nonmodal baroclinic waves. J. Atmos. Sci. 41, 1663-1686.
6. HOSOL, A. E. & MAHADEVAN, L. 1999 Axial instability of a free-surface front in a partially filled horizontal rotating cylinder. Phys. Fluids A 11, 97-106.
7. JOHNSON, R. E. 1988 Steady state coating flows inside a rotating horizontal cylinder. J. Fluid Mech. 190, 321-342.
8. LANDAU, L. & LIFSHITZ, E. 1995 Course of Theoretical Physics, vol. 6: Fluid Mechanics. Pergamon.
9. O'BRIEN, S. B. G. 2002 Linear stability of rimming flows. Q. Appl. Maths 60, 201-212.
10. PRUDNIKOV, A. P., BRYCHKOV, YU. A. & MARICHEV, O.I. 1981 Integraly i Ryady. vols. 1-2. Nauka (English translation: 1986-90 Integrals and Series. vols. 1-5, Gordon and Breach).