Navier-Stokes Flow Around a Rotating Obstacle, Necasova

Автор: Roger Temem
Название: Navier-Stokes Equations: Theory and Numerical Analysis
ISBN: 0821827375 ISBN-13(EAN): 9780821827376
Издательство: Oxford Academ
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Цена: 69690.00 T
Наличие на складе: Невозможна поставка.
Описание: The book presents a systematic treatment of results on the theory and numerical analysis of the Navier-Stokes equations for viscous incompressible fluids. Considered are the linearized stationary case, the nonlinear stationary case, and the full nonlinear time-dependent case. The relevant mathematical tools are introduced at each stage. The new material in this book is Appendix III, reproducing a survey article written in 1998. This appendix contains a few aspects not addressed in the earlier editions, in particular a short derivation of the Navier-Stokes equations from the basic conservation principles in continuum mechanics, further historical perspectives, and indications on new developments in the area. The appendix also surveys some aspects of the related Euler equations and the compressible Navier-Stokes equations. Readers are advised to peruse this appendix before reading the core of the book. This book presents basic results on the theory of Navier-Stokes equations and, as such, continues to serve as a comprehensive reference source on the topic.

Автор: Stenger
Название: Navier–Stokes Equations on R3 ? [0, T]
ISBN: 3319275240 ISBN-13(EAN): 9783319275246
Издательство: Springer
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Цена: 83850.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In this monograph, leading researchers in the world ofnumerical analysis, partial differential equations, and hard computationalproblems study the properties of solutions of the Navier–Stokes partial differential equations on (x, y, z,t) ? ?3 ? [0, T]. Initially converting the PDE to asystem of integral equations, the authors then describe spaces A of analytic functions that housesolutions of this equation, and show that these spaces of analytic functionsare dense in the spaces S of rapidlydecreasing and infinitely differentiable functions. This method benefits fromthe following advantages: The functions of S are nearly always conceptual rather than explicit Initial and boundary conditions of solutions of PDE are usually drawn from the applied sciences, and as such, they are nearly always piece-wise analytic, and in this case, the solutions have the same properties When methods of approximation are applied to functions of A they converge at an exponential rate, whereas methods of approximation applied to the functions of S converge only at a polynomial rate Enables sharper bounds on the solution enabling easier existence proofs, and a more accurate and more efficient method of solution, including accurate error boundsFollowing the proofs of denseness, the authors prove theexistence of a solution of the integral equations in the space of functions A ? ?3 ? [0, T], and provide an explicit novelalgorithm based on Sinc approximation and Picard–like iteration for computingthe solution. Additionally, the authors include appendices that provide acustom Mathematica program for computing solutions based on the explicitalgorithmic approximation procedure, and which supply explicit illustrations ofthese computed solutions.

Автор: Robinson
Название: The Three-Dimensional Navier–Stokes Equations
ISBN: 1107019664 ISBN-13(EAN): 9781107019669
Издательство: Cambridge Academ
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Цена: 74970.00 T
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Описание: A rigorous but accessible introduction to the mathematical theory of the three-dimensional Navier-Stokes equations, offering a self-contained treatment of many of the major results. Numerous exercises are provided, each with full solutions, making the book an ideal text for a graduate course of one or two semesters.

Автор: Robinson
Название: Recent Progress in the Theory of the Euler and Navier–Stokes Equations
ISBN: 1107554977 ISBN-13(EAN): 9781107554979
Издательство: Cambridge Academ
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Цена: 61240.00 T
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Описание: This survey volume provides an accessible summary of a wide range of active research topics written by leaders in their field, together with some exciting new results. It serves both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers.