Surface tension and dynamics of fingering patterns

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 57, Issue 4, 1998, Pages R3707-R3710

  Magdaleno, F X ^a   Casademunt, J ^a  

^a UNIVERSITY OF BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000610595     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.R3707     Document Type: Article

References (26)

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16. For instance, a sequence of solutions of σ≠0 can be found which converges uniformly for all time to the λ=1/2 time-dependent solution with σ=0.
17. For instance, single-finger evolutions with λ>1/2.
18. M. Mineev-Weinstein, Phys. Rev. Lett. 80, 2113 (1998).
19. We do not question the validity of the analytical results of Ref. 13 but the conclusions drawn concerning the dynamical role of surface tension. In particular, we point out that any λ≠1/2 may be dynamically selected within the appropriate subspace. Furthermore, the dynamics leading to λ=1/2 need not be close to the physical one. For more details, see Ref. 15.
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23. Two modes k=1,2 with amplitudes|ε1|∼|ε2|≪1 satisfy ε1∼α″ and ε2∼α′2.
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