Titlebook: New Perspectives in Turbulence; Lawrence Sirovich Conference proceedings 1991 Springer-Verlag New York Inc. 1991 Navier-Stokes equation.ch

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vide a rigorous derivation of each level from the preceding level and the resulting me- scopic equations are analyzed in detail. Following Haken (1983, Sect. 1. 11. 6) we deal, “at the microscopic level, with individual atoms or molecules, described by their positions, velocities, and mutual interac

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Robert H. Kraichnanvide a rigorous derivation of each level from the preceding level and the resulting me- scopic equations are analyzed in detail. Following Haken (1983, Sect. 1. 11. 6) we deal, “at the microscopic level, with individual atoms or molecules, described by their positions, velocities, and mutual interac

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John L. Lumleyvide a rigorous derivation of each level from the preceding level and the resulting me- scopic equations are analyzed in detail. Following Haken (1983, Sect. 1. 11. 6) we deal, “at the microscopic level, with individual atoms or molecules, described by their positions, velocities, and mutual interac

艰苦地移动

Leo P. Kadanoffsociated with an auxiliary backward-forward system; see Eq. (.–.) and Lemma .. The key idea consists of representing the modes with high wavenumbers as a pullback limit depending on the time history of the modes with low wavenumbers. We introduce then the concept of stochastic parameterizing manifol

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Ashvin B. Chhabra,K. R. Sreenivasanp. .; and we illustrate that the corresponding reduced system, when applied to the stochastic Burgers-type equation introduced in Chap. ., provides better performances in modeling the dynamics of the resolved modes when compared with those achieved by the reduced system based on .. Methodological as

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M. Y. Hussaini,G. Erlebacher,S. Sarkarall the necessary background from functional analysis and the theory of PDEs. It covers the main types of equations (elliptic, hyperbolic and parabolic) and discusses different types of random forcing. The objective is to give the reader the necessary tools to understand the proofs of existing theor

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