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On the decay of Burgers turbulence

Published online by Cambridge University Press:  10 August 1997

S. N. GURBATOV ,
S. I. SIMDYANKIN ,
E. AURELL ,
U. FRISCH  and
G. TÓTH
S. N. GURBATOV
Affiliation:
Radiophysics Department, University of Nizhny Novgorod, 23, Gagarin Ave., Nizhny Novgorod 603600, Russia Observatoire de la Côte d'Azur, Lab. G.D. Cassini, BP 4229, F-06304 Nice Cedex 4, France
S. I. SIMDYANKIN
Affiliation:
Radiophysics Department, University of Nizhny Novgorod, 23, Gagarin Ave., Nizhny Novgorod 603600, Russia Center for Parallel Computers, Royal Institute of Technology, S–100 44 Stockholm, Sweden
E. AURELL
Affiliation:
Center for Parallel Computers, Royal Institute of Technology, S–100 44 Stockholm, Sweden Mathematics Department, Stockholm University, S–106 91 Stockholm, Sweden
U. FRISCH
Affiliation:
Observatoire de la Côte d'Azur, Lab. G.D. Cassini, BP 4229, F-06304 Nice Cedex 4, France
G. TÓTH
Affiliation:
Department of Atomic Physics, Loránd Eötvös University, Budapest 1088, Puskin u. 5–7, Hungary Sterrekundig Instituut, Postbus 80000, 3508 TA Utrecht, The Netherlands
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Abstract

This work is devoted to the decay of random solutions of the unforced Burgers equation in one dimension in the limit of vanishing viscosity. The initial velocity is homogeneous and Gaussian with a spectrum proportional to kn at small wavenumbers k and falling off quickly at large wavenumbers.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 344 , 10 August 1997 , pp. 339 - 374
Copyright
© 1997 Cambridge University Press

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