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Titlebook: Mathematical Problems of Statistical Hydromechanics; M. J. Vishik,A. V. Fursikov Book 1988 Kluwer Academic Publishers 1988 classification.

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书目名称Mathematical Problems of Statistical Hydromechanics
编辑M. J. Vishik,A. V. Fursikov
视频video
丛书名称Mathematics and its Applications
图书封面Titlebook: Mathematical Problems of Statistical Hydromechanics;  M. J. Vishik,A. V. Fursikov Book 1988 Kluwer Academic Publishers 1988 classification.
描述Approach your problems from the right end It isn‘t that they can‘t see the solution. It is and begin with the answers. Then one day, that they can‘t see the problem. perhaps you will find the final question. G. K. Chesterton. The ScandiJI of Father ‘The Hermit Clad in Crane Feathers‘ in R. Brow" ‘The point of a Pin‘. van Guik‘s The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are
出版日期Book 1988
关键词classification; coding; filtering; integrable system; integral; measure; measure theory; mechanics
版次1
doihttps://doi.org/10.1007/978-94-009-1423-0
isbn_softcover978-94-010-7137-6
isbn_ebook978-94-009-1423-0Series ISSN 0169-6378
issn_series 0169-6378
copyrightKluwer Academic Publishers 1988
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Moment Theory for Small Reynolds Numbers,In Chapter I (Remark I.4.2) the notion of small Reynolds numbers is introduced. For small Reynolds numbers a functional-analytic solution .(., .) of the evolution equation depends on the initial value .(.). Therefore in this case in moment theory we can use the method of functional-analytic expansions.
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The Hopf Equation,In this chapter we study spatial statistical solutions of the Navier-Stokes system and their operator generalization.
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The Direct and Inverse Kolmogorov Equations Corresponding to a Stochastic Navier-Stokes System,In this chapter we study direct and inverse Kolmogorov equations corresponding to the stochastic Navier-Stokes system for . = 3, 2. Roughly speaking, the transition function (more exactly, the measure) . (., .; ., .) of the process . (.) satisfies the direct Kolmogorov equation with respect to (., .) and the inverse one with respect to (., .).
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Homogeneous in , Solutions of the Stochastic Navier-Stokes System with White Noise,We consider a Navier-Stokes system in ℝ. with white noise on the right-hand side of the equation . where 0 < . < ∞, v > 0, .(.) ∈ .(0, .; .) is a Wiener process (see §2) ..
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