Mathematical Problems Of Statistical Hydromechanics PDF Download

Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Mathematical Problems Of Statistical Hydromechanics PDF full book. Access full book title Mathematical Problems Of Statistical Hydromechanics.

Mathematical Problems of Statistical Hydromechanics

Mathematical Problems of Statistical Hydromechanics
Author: M.I. Vishik
Publisher: Springer Science & Business Media
Total Pages: 584
Release: 2012-12-06
Genre: Mathematics
ISBN: 9400914237

Download Mathematical Problems of Statistical Hydromechanics Book in PDF, ePub and Kindle

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 Gu\ik'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 relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.


Mathematical Approaches in Hydrodynamics

Mathematical Approaches in Hydrodynamics
Author: Touvia Miloh
Publisher: SIAM
Total Pages: 554
Release: 1991-01-01
Genre: Science
ISBN: 9780898712773

Download Mathematical Approaches in Hydrodynamics Book in PDF, ePub and Kindle

To honor Professor Marshall P. Tulin on his 65th birthday (March 14, 1991), fluid mechanicians and applied mathematicians who have had close association and collaborated with Tulin during his career contribute papers in various areas related to his main interest naval hydrodynamics. No index. Annota


Randomly Forced Nonlinear PDEs and Statistical Hydrodynamics in 2 Space Dimensions

Randomly Forced Nonlinear PDEs and Statistical Hydrodynamics in 2 Space Dimensions
Author: Sergej B. Kuksin
Publisher: European Mathematical Society
Total Pages: 108
Release: 2006
Genre: Mathematics
ISBN: 9783037190210

Download Randomly Forced Nonlinear PDEs and Statistical Hydrodynamics in 2 Space Dimensions Book in PDF, ePub and Kindle

This book gives an account of recent achievements in the mathematical theory of two-dimensional turbulence, described by the 2D Navier-Stokes equation, perturbed by a random force. The main results presented here were obtained during the last five to ten years and, up to now, have been available only in papers in the primary literature. Their summary and synthesis here, beginning with some preliminaries on partial differential equations and stochastics, make this book a self-contained account that will appeal to readers with a general background in analysis. After laying the groundwork, the author goes on to recent results on ergodicity of random dynamical systems, which the randomly forced Navier-Stokes equation defines in the function space of divergence-free vector fields, including a Central Limit Theorem. The physical meaning of these results is discussed as well as their relations with the theory of attractors. Next, the author studies the behaviour of solutions when the viscosity goes to zero. In the final section these dynamical methods are used to derive the so-called balance relations--the infinitely many algebraical relations satisfied by the solutions.


Handbook of Mathematical Fluid Dynamics

Handbook of Mathematical Fluid Dynamics
Author: Susan Friedlander
Publisher: Gulf Professional Publishing
Total Pages: 640
Release: 2002
Genre: Mathematics
ISBN: 9780444512871

Download Handbook of Mathematical Fluid Dynamics Book in PDF, ePub and Kindle

Cover -- Contents of the Handbook: Volume 1 -- Content -- Preface -- List of Contributors -- Chapter 1. Statistical Hydrodynamics -- Chapter 2. Topics on Hydrodynamics and Volume Preserving Maps -- Chapter 3. Weak Solutions of Incompressible Euler Equations -- Chapter 4. Near Identity Transformations for the Navier-Stokes Equations -- Chapter 5. Planar Navier-Stokes Equations: Vorticity Approach -- Chapter 6. Attractors of Navier-Stokes Equations -- Chapter 7. Stability and Instability in Viscous Fluids -- Chapter 8. Localized Instabilities in Fluids -- Chapter 9. Dynamo Theory -- Chapter 10. Water-Waves as a Spatial Dynamical System -- Chapter 11. Solving the Einstein Equations by Lipschitz Continuous Metrics: Shock Waves in General Relativity -- Author Index -- Subject Index


Stochastic PDEs and Dynamics

Stochastic PDEs and Dynamics
Author: Boling Guo
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 280
Release: 2016-11-21
Genre: Mathematics
ISBN: 3110492431

Download Stochastic PDEs and Dynamics Book in PDF, ePub and Kindle

This book explains mathematical theories of a collection of stochastic partial differential equations and their dynamical behaviors. Based on probability and stochastic process, the authors discuss stochastic integrals, Ito formula and Ornstein-Uhlenbeck processes, and introduce theoretical framework for random attractors. With rigorous mathematical deduction, the book is an essential reference to mathematicians and physicists in nonlinear science. Contents: Preliminaries The stochastic integral and Itô formula OU processes and SDEs Random attractors Applications Bibliography Index


Stochastic Optimal Control in Infinite Dimension

Stochastic Optimal Control in Infinite Dimension
Author: Giorgio Fabbri
Publisher: Springer
Total Pages: 928
Release: 2017-06-22
Genre: Mathematics
ISBN: 3319530674

Download Stochastic Optimal Control in Infinite Dimension Book in PDF, ePub and Kindle

Providing an introduction to stochastic optimal control in infinite dimension, this book gives a complete account of the theory of second-order HJB equations in infinite-dimensional Hilbert spaces, focusing on its applicability to associated stochastic optimal control problems. It features a general introduction to optimal stochastic control, including basic results (e.g. the dynamic programming principle) with proofs, and provides examples of applications. A complete and up-to-date exposition of the existing theory of viscosity solutions and regular solutions of second-order HJB equations in Hilbert spaces is given, together with an extensive survey of other methods, with a full bibliography. In particular, Chapter 6, written by M. Fuhrman and G. Tessitore, surveys the theory of regular solutions of HJB equations arising in infinite-dimensional stochastic control, via BSDEs. The book is of interest to both pure and applied researchers working in the control theory of stochastic PDEs, and in PDEs in infinite dimension. Readers from other fields who want to learn the basic theory will also find it useful. The prerequisites are: standard functional analysis, the theory of semigroups of operators and its use in the study of PDEs, some knowledge of the dynamic programming approach to stochastic optimal control problems in finite dimension, and the basics of stochastic analysis and stochastic equations in infinite-dimensional spaces.


The Essence of Turbulence as a Physical Phenomenon

The Essence of Turbulence as a Physical Phenomenon
Author: Arkady Tsinober
Publisher: Springer
Total Pages: 229
Release: 2018-12-17
Genre: Technology & Engineering
ISBN: 3319995316

Download The Essence of Turbulence as a Physical Phenomenon Book in PDF, ePub and Kindle

Now in its second edition, this book clearly, concisely and comprehensively outlines the essence of turbulence. In view of the absence of a theory based on first principles and adequate tools to handle the problem, the “essence” of turbulence, i.e. what turbulence really is from a fundamental point of view, is understood empirically through observations from nature, laboratories and direct numerical simulations rather than explained by means of conventional formalistic aspects, models, etc., resulting in pertinent issues being described at a highly theoretical level in spite of the mentioned lack of theory. As such, the book highlights and critically reexamines fundamental issues, especially those of paradigmatic nature, related to conceptual and problematic aspects, key misconceptions and unresolved matters, and discusses why the problem is so difficult. As in the previous edition, the focus on fundamental issues is also a consequence of the view that without corresponding advances in fundamental aspects there is little chance of progress in any applications. More generally there is a desperate need for physical fundamentals of a great variety of processes in nature and technology in which turbulence plays a central role. Turbulence is omnipresent throughout the natural sciences and technology, but despite the vast sea of information available the book retains its brevity without oversimplifications, making it of interest to a broad audience.


Topics in Applied Analysis and Optimisation

Topics in Applied Analysis and Optimisation
Author: Michael Hintermüller
Publisher: Springer Nature
Total Pages: 396
Release: 2019-11-27
Genre: Mathematics
ISBN: 3030331164

Download Topics in Applied Analysis and Optimisation Book in PDF, ePub and Kindle

This volume comprises selected, revised papers from the Joint CIM-WIAS Workshop, TAAO 2017, held in Lisbon, Portugal, in December 2017. The workshop brought together experts from research groups at the Weierstrass Institute in Berlin and mathematics centres in Portugal to present and discuss current scientific topics and to promote existing and future collaborations. The papers include the following topics: PDEs with applications to material sciences, thermodynamics and laser dynamics, scientific computing, nonlinear optimization and stochastic analysis.


Navier-Stokes Turbulence

Navier-Stokes Turbulence
Author: Wolfgang Kollmann
Publisher: Springer Nature
Total Pages: 848
Release: 2024
Genre: Navier-Stokes equations
ISBN: 3031595785

Download Navier-Stokes Turbulence Book in PDF, ePub and Kindle

This updated/augmented second edition retains it class-tested content and pedagogy as a core text for graduate courses in advanced fluid mechanics and applied science. The new edition adds revised sections, clarification, problems, and chapter extensions including a rewritten section on Schauder bases for turbulent pipe flow, coverage of Cantwell’s mixing length closure for turbulent pipe flow, and a section on the variational Hessian. Consisting 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. The second segment, presented over subsequent chapters, is devoted to mapping methods, homogeneous turbulence based upon the hypotheses of Kolmogorov and Onsager, intermittency, structural features of turbulent shear flows and their recognition. Adds section on Plancherel’s theorem and a detailed problem on analytic solution of functional differential equations; Extends chapter nine on characteristic functionals to greater explain the role of convection; Reinforces concepts with problems on the theory and particular examples of turbulent flows such as periodic pipe flow. . .


Infinite Dimensional Optimization and Control Theory

Infinite Dimensional Optimization and Control Theory
Author: Hector O. Fattorini
Publisher: Cambridge University Press
Total Pages: 828
Release: 1999-03-28
Genre: Computers
ISBN: 9780521451253

Download Infinite Dimensional Optimization and Control Theory Book in PDF, ePub and Kindle

Treats optimal problems for systems described by ODEs and PDEs, using an approach that unifies finite and infinite dimensional nonlinear programming.