The Mathematical Theory of Viscous Incompressible Flow PDF Download

Author: Ol'ga A. Ladyženskaja
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 0

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Author:
Publisher:
ISBN:
Category : Periodicals
Languages : en
Pages : 1178

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Author: Christopher Hollings
Publisher: Oxford University Press
ISBN: 0192843214
Category : History
Languages : en
Pages : 337

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Established in the early seventeenth century following a bequest to the university by Sir William Sedley, Oxford's Sedleian Professorship of Natural Philosophy is one of the university's oldest professorships. In common with other such positions established around this time, such as the Savilian Professorships of Geometry and Astronomy, for example, its purpose was to provide centrally organised lectures on a specific subject. While the Professorship is now a high-profile research post in applied mathematics, it has previously been held by physicians, an astronomer, and several people in the eighteenth century whose credentials in natural philosophy are much less clear. This edited volume traces the varied history of the chair through the first four centuries of its existence, combining specialised contributions from historians of medicine, of science, of mathematics, and of universities, together with personal reminiscences of some of the more recent holders of the post.

Author: Joanna Rencławowicz
Publisher: Springer Nature
ISBN: 3030323307
Category : Mathematics
Languages : en
Pages : 176

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This monograph considers the motion of incompressible fluids described by the Navier-Stokes equations with large inflow and outflow, and proves the existence of global regular solutions without any restrictions on the magnitude of the initial velocity, the external force, or the flux. To accomplish this, some assumptions are necessary: The flux is close to homogeneous, and the initial velocity and the external force do not change too much along the axis of the cylinder. This is achieved by utilizing a sophisticated method of deriving energy type estimates for weak solutions and global estimates for regular solutions—an approach that is wholly unique within the existing literature on the Navier-Stokes equations. To demonstrate these results, three main steps are followed: first, the existence of weak solutions is shown; next, the conditions guaranteeing the regularity of weak solutions are presented; and, lastly, global regular solutions are proven. This volume is ideal for mathematicians whose work involves the Navier-Stokes equations, and, more broadly, researchers studying fluid mechanics.

Author: Luigi C. Berselli
Publisher: Academic Press
ISBN: 0128219459
Category : Technology & Engineering
Languages : en
Pages : 330

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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

Author: Giuseppe Da Prato
Publisher: Cambridge University Press
ISBN: 1107055849
Category : Mathematics
Languages : en
Pages : 513

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Updates in this second edition include two brand new chapters and an even more comprehensive bibliography.

Author: Luigi Carlo Berselli
Publisher: Springer Science & Business Media
ISBN: 9783540263166
Category : Computers
Languages : en
Pages : 378

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The LES-method is rapidly developing in many practical applications in engineering The mathematical background is presented here for the first time in book form by one of the leaders in the field

Author: Gabriel Acosta
Publisher: Springer
ISBN: 1493969854
Category : Mathematics
Languages : en
Pages : 132

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Book Description
This Brief is mainly devoted to two classical and related results: the existence of a right inverse of the divergence operator and the so-called Korn Inequalities. It is well known that both results are fundamental tools in the analysis of some classic differential equations, particularly in those arising in fluid dynamics and elasticity. Several connections between these two topics and improved Poincaré inequalities are extensively treated. From simple key ideas the book is growing smoothly in complexity. Beginning with the study of these problems on star-shaped domains the arguments are extended first to John domains and then to Hölder α domains where the need of weighted spaces arises naturally. In this fashion, the authors succeed in presenting in an unified and concise way several classic and recent developments in the field. These features certainly makes this Brief useful for students, post-graduate students, and researchers as well.

Author: Mojtaba Mahzoon
Publisher:
ISBN:
Category :
Languages : en
Pages : 236

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Author: C. Foias
Publisher: Cambridge University Press
ISBN: 1139428993
Category : Science
Languages : en
Pages : 363

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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.