Pattern Selection in Double-Diffusive Ferro-Convection

Journal of Mathematical Analysis and Applications

Volumn 221, Issue 1, 1998, Pages 191-216

  Bajaj, Renu ^a   Malik, S K ^a  

^a PANJAB UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040086643     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5857     Document Type: Article

References (18)

1. Rosensweig R. E. Ferrohydrodynamics. 1985;Cambridge Univ. Press, New York.
2. Rosensweig R. E. Magnetic fluids. Ann. Rev. Fluid Mech. 19:1987;437.
3. Galities A. Formation of hexagonal pattern on the surface of a ferromagnetic fluid in an applied magnetic field. J. Fluid Mech. 82:1977;401-413.
4. Malik S. K., Singh M. Nonlinear dispersive instabilities in Magnetic fluids. Quart. Appl. Math. 42:1984;359-371.
5. Silber M., Knobloch E. Pattern selection in steady binary-fluid convection. Phys. Rev. A. 28:1988.
6. Bajaj R., Malik S. K. Pattern formation in ferrofluids. J. Magnetism Magnetic Materials. 149:1995;158-161.
7. Neuringer J. L., Rosensweig R. E. Ferrohydrodynamics. Phys. Fluids. 7:1927.
8. Finlayson B. A. Convective instability of ferromagnetic fluids. J. Fluid Mech. 40:1970;753-767.
9. Gotoh K., Yamda M. Thermal convection in a horizontal layer of magnetic fluid. J. Phys. Soc. Japan. 51:1982;3042.
10. Gupta M. Das, Gupta A. S. Convective instability of a layer of a ferromagnetic fluid rotating about a vertical axis. Internat. J. Engrg. Sci. 17:1979;271-277.
11. Shekhar G. N., Rudraiah N., Kamiyama S. Thermo-haline ferroconvection. Intl. Conf. on Electromagnetic Forces. 1991;Tohoku University, Japan.
12. Bajaj R., Malik S. K. Convective instability and pattern formation in Magnetic fluids. J. Math. Anal. Appl. 207:1997;172-191.
13. Blums E. Complex convection in magnetic colloids. J. Magnetism Magnetic Materials. 149:1995;111-115.
14. Kikura H. Natural convection of a magnetic fluid in a cubic enclosure. J. Magnetism Magnetic Materials. 122:1993;315-318.
15. Golubitsky M., Schaeffer D. G. Singularities and Groups in Bifurcation Theory, Vol. 1. Applied Mathematical Sciences. 51:1985;Springer-Verlag.
16. Golubitsky M., Stewart I. N., Schaeffer D. G. Singularities and Groups in Bifurcation Theory, Vol. 2. Applied Mathematical Sciences. 69:1988;Springer-Verlag, Berlin.
17. Buzano E., Golubitsky M. Bifurcation on the hexagonal lattice and the planar Benard problem. Philos. Trans. Roy. Soc. London Ser A. 308:1983;249-276.
18. Guckenheimer, Holmes P. Nonlinear Oscillations, Dynamical Systems and Bifurcation of Vector Fields. 1983;Applied Mathematical Sciences.