BURGERS-EQUATION AND THE EVOLUTION OF NONLINEAR 2ND SOUND

Citation
H. Davidowitz et al., BURGERS-EQUATION AND THE EVOLUTION OF NONLINEAR 2ND SOUND, Physica. D, 84(3-4), 1995, pp. 635-644
Citations number
17
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
ISSN journal
01672789
Volume
84
Issue
3-4
Year of publication
1995
Pages
635 - 644
Database
ISI
SICI code
0167-2789(1995)84:3-4<635:BATEON>2.0.ZU;2-D
Abstract
A systematic, experimental and numerical search for subharmonic genera tion and/or amplification was conducted at intermediate times and mode rate Reynolds numbers in nonlinear second sound near the superfluid tr ansition. We found that the nonlinear acoustic waves are dynamically m onotonic in the sense that only energy cascades to smaller and smaller scales (until the dissipation scale) exist. There is no indication of a decay of monochromatic waves to waves of lower wave numbers. This p recludes the existence of a decay instability in Burgers' equation as has been discussed in the literature. We thus extend the theoretical p roof of Sinai concerning the absence of subharmonics in the solutions of Burger's equation to intermediate times.