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The Three-Dimensional Navier–Stokes Equations

2016-09-07 Mathematics
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Release : 2016-09-07
Genre : Mathematics
Kind : eBook
Book Rating : 124/5 ( reviews)

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Book Synopsis The Three-Dimensional Navier–Stokes Equations by : James C. Robinson

Download or read book The Three-Dimensional Navier–Stokes Equations written by James C. Robinson. This book was released on 2016-09-07. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous but accessible introduction to the mathematical theory of the three-dimensional Navier–Stokes equations, this book provides self-contained proofs of some of the most significant results in the area, many of which can only be found in research papers. Highlights include the existence of global-in-time Leray–Hopf weak solutions and the local existence of strong solutions; the conditional local regularity results of Serrin and others; and the partial regularity results of Caffarelli, Kohn, and Nirenberg. Appendices provide background material and proofs of some 'standard results' that are hard to find in the literature. A substantial number of exercises are included, with full solutions given at the end of the book. As the only introductory text on the topic to treat all of the mainstream results in detail, this book is an ideal text for a graduate course of one or two semesters. It is also a useful resource for anyone working in mathematical fluid dynamics.

Three-Dimensional Navier-Stokes Equations for Turbulence

2021-03-10 Technology & Engineering
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Release : 2021-03-10
Genre : Technology & Engineering
Kind : eBook
Book Rating : 459/5 ( reviews)

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Book Synopsis Three-Dimensional Navier-Stokes Equations for Turbulence by : Luigi C. Berselli

Download or read book Three-Dimensional Navier-Stokes Equations for Turbulence written by Luigi C. Berselli. This book was released on 2021-03-10. Available in PDF, EPUB and Kindle. Book excerpt: Three-Dimensional Navier-Stokes Equations for Turbulence provides a rigorous but still accessible account of research into local and global energy dissipation, with particular emphasis on turbulence modeling. The mathematical detail is combined with coverage of physical terms such as energy balance and turbulence to make sure the reader is always in touch with the physical context. All important recent advancements in the analysis of the equations, such as rigorous bounds on structure functions and energy transfer rates in weak solutions, are addressed, and connections are made to numerical methods with many practical applications. The book is written to make this subject accessible to a range of readers, carefully tackling interdisciplinary topics where the combination of theory, numerics, and modeling can be a challenge. - Includes a comprehensive survey of modern reduced-order models, including ones for data assimilation - Includes a self-contained coverage of mathematical analysis of fluid flows, which will act as an ideal introduction to the book for readers without mathematical backgrounds - Presents methods and techniques in a practical way so they can be rapidly applied to the reader's own work

The Three-Dimensional Navier-Stokes Equations

2013 Differential equations, Partial
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Author :
Release : 2013
Genre : Differential equations, Partial
Kind : eBook
Book Rating : 143/5 ( reviews)

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Book Synopsis The Three-Dimensional Navier-Stokes Equations by : James C. Robinson

Download or read book The Three-Dimensional Navier-Stokes Equations written by James C. Robinson. This book was released on 2013. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous but accessible introduction to the mathematical theory of the three-dimensional Navier-Stokes equations, this book provides self-contained proofs of some of the most significant results in the area, many of which can only be found in researchpapers. Highlights include the existence of global-in-time Leray-Hopf weak solutionsand the local existence of strong solutions; the conditional local regularity results ofSerrin and others; and the partial regularity results of Caffarelli, Kohn, and Nirenberg. Appendices provide background material and proofs of some 'standard results' thatare hard to find in the literature. A substantial number of exercises are included, with fullsolutions given at the end of the book. As the only introductory text on the topic to treatall of the mainstream results in detail, this book is an ideal text for a graduate course ofone or two semesters. It is also a useful resource for anyone working in mathematical fluid dynamics.

Numerical solution of the three-dimensional Navier-Stokes equations

1976
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Release : 1976
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Numerical solution of the three-dimensional Navier-Stokes equations by : Stephen Michael Richardson

Download or read book Numerical solution of the three-dimensional Navier-Stokes equations written by Stephen Michael Richardson. This book was released on 1976. Available in PDF, EPUB and Kindle. Book excerpt:

Recent Progress in the Theory of the Euler and Navier–Stokes Equations

2016-01-21 Mathematics
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Release : 2016-01-21
Genre : Mathematics
Kind : eBook
Book Rating : 34X/5 ( reviews)

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Book Synopsis Recent Progress in the Theory of the Euler and Navier–Stokes Equations by : James C. Robinson

Download or read book Recent Progress in the Theory of the Euler and Navier–Stokes Equations written by James C. Robinson. This book was released on 2016-01-21. Available in PDF, EPUB and Kindle. Book excerpt: The rigorous mathematical theory of the Navier–Stokes and Euler equations has been a focus of intense activity in recent years. This volume, the product of a workshop in Venice in 2013, consolidates, surveys and further advances the study of these canonical equations. It consists of a number of reviews and a selection of more traditional research articles on topics that include classical solutions to the 2D Euler equation, modal dependency for the 3D Navier–Stokes equation, zero viscosity Boussinesq equations, global regularity and finite-time singularities, well-posedness for the diffusive Burgers equations, and probabilistic aspects of the Navier–Stokes equation. The result is an accessible summary of a wide range of active research topics written by leaders in their field, together with some exciting new results. The book serves both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers.

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