Convectons in periodic and bounded domains

Fluid Dynamics Research

Volumn 42, Issue 2, 2010, Pages

  Mercader, Isabel ^a   Batiste, Oriol ^a   Alonso, Arantxa ^a   Knobloch, Edgar ^b  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION DIAGRAM; BINARY FLUIDS; BOUNDED DOMAIN; INSULATING BOUNDARIES; LARGE AMPLITUDE; LOCALIZED STATE; NUMERICAL CONTINUATION; ODD-PARITY; PERIODIC BOUNDARY CONDITIONS; PERIODIC CONVECTION; PERIODIC DOMAINS; PUMPING ACTION;

DEFECTS;

BOUNDARY CONDITIONS;

EID: 76149139733     PISSN: 01695983     EISSN: None     Source Type: Journal    
DOI: 10.1088/0169-5983/42/2/025505     Document Type: Article

References (20)

1. Alonso A, Batiste O, Meseguer A and Mercader I 2007 Complex dynamical states in binary mixture convection with weak negative Soret coupling Phys. Rev. E 75 026310
2. Assemat P, Bergeon A and Knobloch E 2008 Spatially localized states in Marangoni convection in binary mixtures Fluid Dyn. Res. 40 852-76
3. 4He mixtures Phys. Rev. Lett. 95 244501
4. Batiste O, Knobloch E, Alonso A and Mercader I 2006 Spatially localized binary fluid convection J. Fluid Mech. 560 149-58
5. Beck M, Knobloch J, Lloyd D J B, Sandstede B and Wagenknecht T 2009 Snakes, ladders and isolas of localized patterns SIAM J. Math. Anal. 41 936-72
6. Bergeon A, Burke J, Knobloch E and Mercader I 2008 Eckhaus instability and homoclinic snaking Phys. Rev. E 78 046201
7. Bergeon A and Knobloch E 2008 Spatially localized states in natural doubly diffusive convection Phys. Fluids 20 034102
8. Blanchflower S 1999 Magnetohydrodynamic convectons Phys. Lett. A 261 74-81
9. Blanchflower S and Weiss N O 2002 Three-dimensional magnetohydrodynamic convectons Phys. Lett. A 294 297-303
10. Coullet P, Riera C and Tresser C 2000 Stable static localized structures in one dimension Phys. Rev. Lett. 84 3069-72
11. Dawes J H P 2007 Localized convection cells in the presence of a vertical magnetic field J. Fluid Mech. 570 385-406
12. Dawes J H P 2009 Modulated and localized states in a finite domain SIAM J. Appl. Dyn. Syst. 8 909-30
13. Ghorayeb K and Mojtabi A 1997 Double diffusive convection in a vertical rectangular cavity Phys. Fluids 9 2339-48
14. Houghton S M and Knobloch E 2009 Homoclinic snaking in bounded domains Phys. Rev. E 80 026210
15. Kozyreff G, Assemat P and Chapman S J 2009 Influence of boundaries on localized patterns Phys. Rev. Lett. 103 164501
16. Mercader I, Alonso A and Batiste O 2008 Spatiotemporal dynamics near the onset of convection for binary mixtures in cylindrical containers Phys. Rev. E 77 036313
17. Mercader I, Batiste O, Alonso A and Knobloch E 2009 Localized pinning states in closed containers: homoclinic snaking without bistability Phys. Rev. E 80 025201
18. Pomeau Y 1986 Front motion, metastability and subcritical bifurcations in hydrodynamics Physica D 23 3-11
19. Prat J, Mercader I and Knobloch E 1998 Resonant mode interactions in Rayleigh-Bénard convection Phys. Rev. E 58 3145-56
20. Woods P D and Champneys A R 1999 Heteroclinic tangles and homoclinic snaking in an unfolding of a degenerate Hamiltonian-Hopf bifurcation Physica D 129 147-70