منابع مشابه
Kicked Burgers Turbulence
1 Observatoire de la Côte d’Azur, Lab. G.D. Cassini, B.P. 4229, F-06304 Nice Cedex 4, France. E-mail: [email protected] 2 Department of Mathematics, Heriot-Watt University, Edinburgh EH14 4AS, UK. E-mail: [email protected] 3 Isaac Newton Institute for Mathematical Sciences, 20 Clarkson Road, Cambridge CB3 0EH, UK. 4 Landau Institute for Theoretical Physics, Kosygina Str., 2, Moscow 117332, Rus...
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We consider the tails of probability density function (PDF) for the velocity that satisfies Burgers equation driven by a Gaussian large-scale force. The saddle-point approximation is employed in the path integral so that the calculation of the PDF tails boils down to finding the special field-force configuration (instanton) that realizes the extremum of probability. For the PDFs of velocity and...
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random burgers equation, random Hamilton-Jacobi equation, uniqueness of global minimizers We discuss a dynamical system approach to a problem of Burgers turbulence. It is shown that there exists a unique stationary distribution for solutions to spatially periodic inviscid random forced Burgers equation in arbitrary dimension. The construction is based on analysis of minimizing orbits for time-d...
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A putative powerlaw range of the probability density of velocity gradient in high-Reynolds-number forced Burgers turbulence is studied. In the absence of information about shock locations, elementary conservation and stationarity relations imply that the exponent 2a in this range satisfies a>3, if dissipation within the power-law range is due to isolated shocks. A generalized model of shock bir...
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The problem of fully developped turbulence is to characterize the statistical properties of the velocity field of a stirred fluid described by Navier stokes equations. The simplest scaling approach, due to Kolmogorov in 1941, gives a reasonable starting point, but it must be corrected due to the failure of naive scaling giving ‘intermittency’ corrections which are presumably associated with the...
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ژورنال
عنوان ژورنال: Physics of Fluids
سال: 1969
ISSN: 0031-9171
DOI: 10.1063/1.1692744