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Mathematical Foundation Of Turbulent Viscous Flows

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Mathematical Foundation Of Turbulent Viscous Flows

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Author : P. Constantin
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-10

Mathematical Foundation Of Turbulent Viscous Flows written by P. Constantin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-10 with Mathematics categories.

Constantin presents the Euler equations of ideal incompressible fluids and the blow-up problem for the Navier-Stokes equations of viscous fluids, describing major mathematical questions of turbulence theory. These are connected to the Caffarelli-Kohn-Nirenberg theory of singularities for the incompressible Navier-Stokes equations, explained in Gallavotti's lectures. Kazhikhov introduces the theory of strong approximation of weak limits via the method of averaging, applied to Navier-Stokes equations. Y. Meyer focuses on nonlinear evolution equations and related unexpected cancellation properties, either imposed on the initial condition, or satisfied by the solution itself, localized in space or in time variable. Ukai discusses the asymptotic analysis theory of fluid equations, the Cauchy-Kovalevskaya technique for the Boltzmann-Grad limit of the Newtonian equation, the multi-scale analysis, giving compressible and incompressible limits of the Boltzmann equation, and the analysis of their initial layers.

Mathematical Foundation Of Turbulent Viscous Flows

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Author : P. Constantin
language : en
Publisher: Springer
Release Date : 2006-01-10

Mathematical Foundation Of Turbulent Viscous Flows written by P. Constantin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-10 with Mathematics categories.

Mathematical Foundation Of Turbulent Viscous Flows

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Author : P. Constantin
language : en
Publisher: Springer
Release Date : 2009-09-02

Mathematical And Numerical Foundations Of Turbulence Models And Applications

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Author : Tomás Chacón Rebollo
language : en
Publisher: Springer
Release Date : 2014-06-17

Mathematical And Numerical Foundations Of Turbulence Models And Applications written by Tomás Chacón Rebollo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-17 with Mathematics categories.

With applications to climate, technology, and industry, the modeling and numerical simulation of turbulent flows are rich with history and modern relevance. The complexity of the problems that arise in the study of turbulence requires tools from various scientific disciplines, including mathematics, physics, engineering and computer science. Authored by two experts in the area with a long history of collaboration, this monograph provides a current, detailed look at several turbulence models from both the theoretical and numerical perspectives. The k-epsilon, large-eddy simulation and other models are rigorously derived and their performance is analyzed using benchmark simulations for real-world turbulent flows. Mathematical and Numerical Foundations of Turbulence Models and Applications is an ideal reference for students in applied mathematics and engineering, as well as researchers in mathematical and numerical fluid dynamics. It is also a valuable resource for advanced graduate students in fluid dynamics, engineers, physical oceanographers, meteorologists and climatologists.

Navier Stokes Turbulence

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Author : Wolfgang Kollmann
language : en
Publisher: Springer Nature
Release Date : 2019-11-21

Navier Stokes Turbulence written by Wolfgang Kollmann and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-21 with Science categories.

The book serves as a core text for graduate courses in advanced fluid mechanics and applied science. It consists of two parts. The first provides an introduction and general theory of fully developed turbulence, where treatment of turbulence is based on the linear functional equation derived by E. Hopf governing the characteristic functional that determines the statistical properties of a turbulent flow. In this section, Professor Kollmann explains how the theory is built on divergence free Schauder bases for the phase space of the turbulent flow and the space of argument vector fields for the characteristic functional. Subsequent chapters are devoted to mapping methods, homogeneous turbulence based upon the hypotheses of Kolmogorov and Onsager, intermittency, structural features of turbulent shear flows and their recognition.

Fundamentals Of Turbulence Modelling

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Author : Ching Jen Chen
language : en
Publisher: CRC Press
Release Date : 1997-12-01

Fundamentals Of Turbulence Modelling written by Ching Jen Chen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-12-01 with Technology & Engineering categories.

Focuses on the second-order turbulence-closure model and its applications to engineering problems. Topics include turbulent motion and the averaging process, near-wall turbulence, applications of turbulence models, and turbulent buoyant flows.

Topics In Spatial Stochastic Processes

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Author : Vincenzo Capasso
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-01-21

Topics In Spatial Stochastic Processes written by Vincenzo Capasso and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-21 with Mathematics categories.

The theory of stochastic processes indexed by a partially ordered set has been the subject of much research over the past twenty years. The objective of this CIME International Summer School was to bring to a large audience of young probabilists the general theory of spatial processes, including the theory of set-indexed martingales and to present the different branches of applications of this theory, including stochastic geometry, spatial statistics, empirical processes, spatial estimators and survival analysis. This theory has a broad variety of applications in environmental sciences, social sciences, structure of material and image analysis. In this volume, the reader will find different approaches which foster the development of tools to modelling the spatial aspects of stochastic problems.

Optimal Transportation And Applications

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Author : Luigi Ambrosio
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-06-12

Optimal Transportation And Applications written by Luigi Ambrosio and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-12 with Mathematics categories.

Leading researchers in the field of Optimal Transportation, with different views and perspectives, contribute to this Summer School volume: Monge-Ampère and Monge-Kantorovich theory, shape optimization and mass transportation are linked, among others, to applications in fluid mechanics granular material physics and statistical mechanics, emphasizing the attractiveness of the subject from both a theoretical and applied point of view. The volume is designed to become a guide to researchers willing to enter into this challenging and useful theory.

Holomorphic Dynamical Systems

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Author : Nessim Sibony
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-07-31

Holomorphic Dynamical Systems written by Nessim Sibony and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-31 with Mathematics categories.

The theory of holomorphic dynamical systems is a subject of increasing interest in mathematics, both for its challenging problems and for its connections with other branches of pure and applied mathematics. A holomorphic dynamical system is the datum of a complex variety and a holomorphic object (such as a self-map or a vector ?eld) acting on it. The study of a holomorphic dynamical system consists in describing the asymptotic behavior of the system, associating it with some invariant objects (easy to compute) which describe the dynamics and classify the possible holomorphic dynamical systems supported by a given manifold. The behavior of a holomorphic dynamical system is pretty much related to the geometry of the ambient manifold (for instance, - perbolic manifolds do no admit chaotic behavior, while projective manifolds have a variety of different chaotic pictures). The techniques used to tackle such pr- lems are of variouskinds: complexanalysis, methodsof real analysis, pluripotential theory, algebraic geometry, differential geometry, topology. To cover all the possible points of view of the subject in a unique occasion has become almost impossible, and the CIME session in Cetraro on Holomorphic Dynamical Systems was not an exception.

Polynomial Representations Of Gl N

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Author : James A. Green
language : en
Publisher: Springer
Release Date : 2006-11-15

Polynomial Representations Of Gl N written by James A. Green and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.

The new corrected and expanded edition adds a special appendix on Schensted Correspondence and Littelmann Paths. This appendix can be read independently of the rest of the volume and is an account of the Littelmann path model for the case gln. The appendix also offers complete proofs of classical theorems of Schensted and Knuth.

Mathematical Foundation Of Turbulent Viscous Flows

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