Necessary and sufficient stability conditions via the eigenvalues- eigenvectors method: An application to the magnetic Bénard problem

Nonlinear Analysis, Theory, Methods and Applications

Volumn 63, Issue 5-7, 2005, Pages

  Lombardo, S ^a   Mulone, G ^a  

^a UNIVERSITY OF CATANIA   (Italy)

Author keywords

Lyapunov method; Magnetic B nard problem; Nonlinear stability

Indexed keywords

BOUNDARY CONDITIONS; FUNCTIONS; LYAPUNOV METHODS; PROBLEM SOLVING;

MAGNETIC BÉNARD PROBLEM; NONLINEAR STABILITY;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 28044454543     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2004.09.003     Document Type: Conference Paper

References (20)

1. S. Chandrasekhar Hydrodynamic and Hydromagnetic Stability 1961 Oxford University Press Oxford
2. S.H. Davis Proc. R. Soc. London A 310 1969 341
3. G.P. Galdi Arch. Rational Mech. Anal. 87 1985 167
4. G.P. Galdi, and M.A. Padula Arch. Rational Mech. Anal. 110 1990 187
5. G.P. Galdi, and B. Straughan Proc. R. Soc. London A 402 1985 257
6. G.P. Galdi, and B. Straughan Arch. Rational Mech. Anal. 89 1985 211
7. D.D. Joseph Stability of Fluid Motions I and II 1976 Springer Berlin
8. R. Kaiser, and L.X. Xu NoDEA Nonlinear Differential Equations Appl. 5 1998 283
9. G. Mulone, Stabilizing effects in fluid dynamics problems, in: R. Monaco, S. Pennisi, S. Rionero, T. Ruggeri (Eds.), Proceeding "New Trends in Mathematica-Physics" Naples, January 2003, World Scientific, Singapore, 2004, to appear.
10. G. Mulone Monaco Pennisi Rionero Ruggeri Proceedings Waves and Stability in Continuous Media WASCOM03, Villasimius, June 2003 2004 World Scientific Singapore 352
11. G. Mulone Far East J. Appl. Math. 15 2 2004 117
12. G. Mulone, and S. Rionero Arch. Rational Mech. Anal. 166 3 2003 197
13. Y. Nakagawa Nature 175 1955 417
14. Y. Nakagawa Proc. R. Soc. London A 240 1957 108
15. S. Rionero Ann. Mat. Pur. Appl. 76 1967 75
16. S. Rionero Ann. Mat. Pur. Appl. 78 1968 339
17. S. Rionero, and G. Mulone Arch. Rational Mech. Anal. 103 1988 347
18. J. Serrin Arch. Rational Mech. Anal. 3 1959 1
19. B. Straughan The Energy Method, Stability, and Nonlinear Convection second ed. 2004 Springer New York
20. W.B. Thompson Philos. Mag. Sci. Ser. 7 42 1951 1417