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Author: Professor Sergei Kuksin
Publisher:
Published: 2014-05-14
Total Pages: 338
ISBN-13: 9781139569194
DOWNLOAD EBOOK →Presents recent progress in two-dimensional mathematical hydrodynamics, including rigorous results on turbulence in space-periodic fluid flows.
Author: Sergej B. Kuksin
Publisher:
Published: 2012
Total Pages:
ISBN-13: 9781139573528
DOWNLOAD EBOOK →"This book deals with basic problems and questions, interesting for physicists and engineers working in the theory of turbulence. Accordingly Chapters 3-5 (which form the main part of this book) end with sections, where we explain the physical relevance of the obtained results. These sections also provide brief summaries of the corresponding chapters. In Chapters 3 and 4, our main goal is to justify, for the 2D case, the statistical properties of fluid's velocity"--
Author: Sergej B. Kuksin
Publisher:
Published: 2012
Total Pages:
ISBN-13: 9781139570091
DOWNLOAD EBOOK →"This book deals with basic problems and questions, interesting for physicists and engineers working in the theory of turbulence. Accordingly Chapters 3-5 (which form the main part of this book) end with sections, where we explain the physical relevance of the obtained results. These sections also provide brief summaries of the corresponding chapters. In Chapters 3 and 4, our main goal is to justify, for the 2D case, the statistical properties of fluid's velocity"--
Author: Sergei Kuksin
Publisher: Cambridge University Press
Published: 2012-09-20
Total Pages: 337
ISBN-13: 113957695X
DOWNLOAD EBOOK →This book is dedicated to the mathematical study of two-dimensional statistical hydrodynamics and turbulence, described by the 2D Navier–Stokes system with a random force. The authors' main goal is to justify the statistical properties of a fluid's velocity field u(t,x) that physicists assume in their work. They rigorously prove that u(t,x) converges, as time grows, to a statistical equilibrium, independent of initial data. They use this to study ergodic properties of u(t,x) – proving, in particular, that observables f(u(t,.)) satisfy the strong law of large numbers and central limit theorem. They also discuss the inviscid limit when viscosity goes to zero, normalising the force so that the energy of solutions stays constant, while their Reynolds numbers grow to infinity. They show that then the statistical equilibria converge to invariant measures of the 2D Euler equation and study these measures. The methods apply to other nonlinear PDEs perturbed by random forces.
Author: Sergej B. Kuksin
Publisher:
Published: 2012
Total Pages:
ISBN-13: 9781139579575
DOWNLOAD EBOOK →"This book deals with basic problems and questions, interesting for physicists and engineers working in the theory of turbulence. Accordingly Chapters 3-5 (which form the main part of this book) end with sections, where we explain the physical relevance of the obtained results. These sections also provide brief summaries of the corresponding chapters. In Chapters 3 and 4, our main goal is to justify, for the 2D case, the statistical properties of fluid's velocity"--
Author: Sergej B. Kuksin
Publisher:
Published: 2012
Total Pages:
ISBN-13: 9781139571005
DOWNLOAD EBOOK →"This book deals with basic problems and questions, interesting for physicists and engineers working in the theory of turbulence. Accordingly Chapters 3-5 (which form the main part of this book) end with sections, where we explain the physical relevance of the obtained results. These sections also provide brief summaries of the corresponding chapters. In Chapters 3 and 4, our main goal is to justify, for the 2D case, the statistical properties of fluid's velocity"--
Author: Sergej B. Kuksin
Publisher:
Published: 2012
Total Pages:
ISBN-13: 9781139888981
DOWNLOAD EBOOK →"This book deals with basic problems and questions, interesting for physicists and engineers working in the theory of turbulence. Accordingly Chapters 3-5 (which form the main part of this book) end with sections, where we explain the physical relevance of the obtained results. These sections also provide brief summaries of the corresponding chapters. In Chapters 3 and 4, our main goal is to justify, for the 2D case, the statistical properties of fluid's velocity"--
Author: C. Foias
Publisher: Cambridge University Press
Published: 2001-08-27
Total Pages: 363
ISBN-13: 1139428993
DOWNLOAD EBOOK →This book presents the mathematical theory of turbulence to engineers and physicists, and the physical theory of turbulence to mathematicians. The mathematical technicalities are kept to a minimum within the book, enabling the language to be at a level understood by a broad audience.
Author: T. Dracos
Publisher: Birkhäuser
Published: 2012-12-06
Total Pages: 409
ISBN-13: 3034885857
DOWNLOAD EBOOK →This book contains the proceedings of a colloquium held in Monte Verit from September 9-13, 1991. Special care has been taken to devote adequate space to the scientific discussions, which claimed about half of the time available. Scientists from all over the world presented their views on the importance of kinematic properties, topology and fractal geometry, and on the dynamic behaviour of turbulent flows. They debated the importance of coherent structures and the possibility to incorporate these in the statistical theory of turbulence, as well as their significance for the reduction of the degrees of freedom and the prospective of dynamical systems and chaos approaches to the problem of turbulence. Also under discussion was the relevance of these new approaches to the study of the instability and the origin of turbulence, and the importance of numerical and physical experiments in improving the understanding of turbulence.
Author: John Cannon
Publisher: CRC Press
Published: 2006-06-15
Total Pages: 216
ISBN-13: 9781420014976
DOWNLOAD EBOOK →Although the current dynamical system approach offers several important insights into the turbulence problem, issues still remain that present challenges to conventional methodologies and concepts. These challenges call for the advancement and application of new physical concepts, mathematical modeling, and analysis techniques. Bringing together ex
