Navier-Stokes Equations in Irregular Domains, L. Stupelis
Автор: Stenger Название: Navier–Stokes Equations on R3 ? [0, T] ISBN: 3319275240 ISBN-13(EAN): 9783319275246 Издательство: Springer Рейтинг: 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: L. Stupelis Название: Navier-Stokes Equations in Irregular Domains ISBN: 9048145627 ISBN-13(EAN): 9789048145621 Издательство: Springer Рейтинг: Цена: 121890.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The analytical basis of Navier-Stokes Equations in Irregular Domains is formed by coercive estimates, which enable proofs to be given of the solvability of the boundary value problems for Stokes and Navier-Stokes equations in weighted Sobolev and Holder spaces, and the investigation of the smoothness of their solutions.
Автор: Roger Temem Название: Navier-Stokes Equations: Theory and Numerical Analysis ISBN: 0821827375 ISBN-13(EAN): 9780821827376 Издательство: Oxford Academ Рейтинг: 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: Kashiwara Название: Regular and Irregular Holonomic D-Modules ISBN: 1316613453 ISBN-13(EAN): 9781316613450 Издательство: Cambridge Academ Рейтинг: Цена: 55970.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The theory of D-modules applies to many areas, including linear PDEs, group representation, algebraic geometry and mathematical physics. This book is the first devoted specifically to the most important variety, holonomic D-modules. It provides a complete unified treatment of the theory of holonomic D-modules, both regular and irregular.
Автор: Zbigniew Zembaty; Mario De Stefano Название: Seismic Behaviour and Design of Irregular and Complex Civil Structures II ISBN: 3319364464 ISBN-13(EAN): 9783319364469 Издательство: Springer Рейтинг: Цена: 121890.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book covers detailed research and recent progress in seismic engineering dealing with seismic behaviour of irregular and set-back engineering structures. In addition, recent progress in seismology, wave propagation and seismic engineering, which provides novel, modern modelling of complex seismic loads, is reported.
Автор: Robinson Название: Recent Progress in the Theory of the Euler and Navier–Stokes Equations ISBN: 1107554977 ISBN-13(EAN): 9781107554979 Издательство: Cambridge Academ Рейтинг: Цена: 61240.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
Автор: Robinson Название: The Three-Dimensional Navier–Stokes Equations ISBN: 1107019664 ISBN-13(EAN): 9781107019669 Издательство: Cambridge Academ Рейтинг: Цена: 74970.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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: Radyadour Kh. Zeytounian Название: Navier-Stokes-Fourier Equations ISBN: 3642443257 ISBN-13(EAN): 9783642443251 Издательство: Springer Рейтинг: Цена: 130590.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Outlining a Navier-Stokes-Fourier modeling theory for a Newtonian fluid governing compressible viscous and heat conducting flows, this monograph deconstructs the model and illustrates the theory through various technological and geophysical problems.
Автор: Pavel Plotnikov; Jan Soko?owski Название: Compressible Navier-Stokes Equations ISBN: 3034807651 ISBN-13(EAN): 9783034807654 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The first monograph on the mathematical theory of shape optimization for compressible Navier-Stokes equations, this publication offers clear explanations of cutting-edge developments in a mathematical language that will foster research in this important field.
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