Mathematical Tools For The Study Of The Incompressible Navier Stokes Equations Andrelated Models PDF Download
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| Author | : Franck Boyer |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 538 |
| Release | : 2012-11-06 |
| Genre | : Mathematics |
| ISBN | : 1461459753 |
Download Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations andRelated Models Book in PDF, ePub and Kindle
The objective of this self-contained book is two-fold. First, the reader is introduced to the modelling and mathematical analysis used in fluid mechanics, especially concerning the Navier-Stokes equations which is the basic model for the flow of incompressible viscous fluids. Authors introduce mathematical tools so that the reader is able to use them for studying many other kinds of partial differential equations, in particular nonlinear evolution problems. The background needed are basic results in calculus, integration, and functional analysis. Some sections certainly contain more advanced topics than others. Nevertheless, the authors’ aim is that graduate or PhD students, as well as researchers who are not specialized in nonlinear analysis or in mathematical fluid mechanics, can find a detailed introduction to this subject. .
| Author | : Franck Boyer |
| Publisher | : Springer |
| Total Pages | : 526 |
| Release | : 2012-11-06 |
| Genre | : Mathematics |
| ISBN | : 9781461459767 |
Download Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations and Related Models Book in PDF, ePub and Kindle
The objective of this self-contained book is two-fold. First, the reader is introduced to the modelling and mathematical analysis used in fluid mechanics, especially concerning the Navier-Stokes equations which is the basic model for the flow of incompressible viscous fluids. Authors introduce mathematical tools so that the reader is able to use them for studying many other kinds of partial differential equations, in particular nonlinear evolution problems. The background needed are basic results in calculus, integration, and functional analysis. Some sections certainly contain more advanced topics than others. Nevertheless, the authors’ aim is that graduate or PhD students, as well as researchers who are not specialized in nonlinear analysis or in mathematical fluid mechanics, can find a detailed introduction to this subject. .
| Author | : Yinghui Zhang |
| Publisher | : LAP Lambert Academic Publishing |
| Total Pages | : 220 |
| Release | : 2014-08-01 |
| Genre | : Navier-Stokes equations |
| ISBN | : 9783659556340 |
Download Mathematical Analysis of Navier-Stokes Equations and Related Models Book in PDF, ePub and Kindle
It is known that Navier-Stokes equations is one of the most important equations in Fluid Mechanics and gas dynamics. On May 24, 2000, the Clay Mathematics Institute of Cambridge, Massachusetts (CMI) has named Navier-Stokes equations: Existence and smoothness of Navier-Stokes equations on $R DEGREES3$ as one of seven million problems. In this book, our aim is to study existence and asymptotic behavior of the Navier-Stokes equations and related models. The closely related models such as the Navier-Stokes-Poisson equations, Navier-Stokes-Korteweg equations, Jin-Xin model and Euler equations with damping are also studied. This book consists of three parts. Part 1 is to study the existence and zero dissipation limit of one-dimensional Navier-Stokes equations of compressible, isentropic and non-isentropic gases, and Jin-Xin model. The second part is about the existence and asymptotic behavior of the higher dimensional Navier-Stokes equations, Navier-Stokes-Poisson equations and Navier-Stokes-Korteweg equations. The third part is about the existence and asymptotic behavior of the isentropic and non-isentropic Euler equations with
| Author | : Giovanni P. Galdi |
| Publisher | : Birkhäuser |
| Total Pages | : 495 |
| Release | : 2017 |
| Genre | : Mathematics |
| ISBN | : 9783034804837 |
Download Navier-Stokes Equations: A Mathematical Analysis Book in PDF, ePub and Kindle
The Navier-Stokes equations - modeling the motion of viscous, incompressible Newtonian fluids - have been capturing the attention of an increasing number of mathematicians over the years and has now become one of the most intensely studied subjects in applied analysis. This project is dedicated to a complete and updated mathematical analysis of fundamental topics related to these equations. Every subject will be analyzed using different approaches. The main ideas behind them as well as their differences will also be emphasized and discussed. The book aims at being self-contained, however, it will also be supported by a vast bibliography for further reading.
| Author | : H. Amann |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 448 |
| Release | : 2020-05-18 |
| Genre | : Mathematics |
| ISBN | : 311231929X |
Download Navier-Stokes Equations and Related Nonlinear Problems Book in PDF, ePub and Kindle
No detailed description available for "Navier-Stokes Equations and Related Nonlinear Problems".
| Author | : Roger Temam |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 426 |
| Release | : 2001-04-10 |
| Genre | : Mathematics |
| ISBN | : 0821827375 |
Download Navier-Stokes Equations Book in PDF, ePub and Kindle
Originally published in 1977, the book is devoted to the theory and numerical analysis of the Navier-Stokes equations for viscous incompressible fluid. On the theoretical side, results related to the existence, the uniqueness, and, in some cases, the regularity of solutions are presented. On the numerical side, various approaches to the approximation of Navier-Stokes problems by discretization are considered, such as the finite dereference method, the finite element method, and the fractional steps method. The problems of stability and convergence for numerical methods are treated as completely as possible. The new material in the present book (as compared to the preceding 1984 edition) is an appendix reproducing a survey article written in 1998. This appendix touches upon 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. The book is written in the style of a textbook and the author has attempted to make the treatment self-contained. It can be used as a textbook or a reference book for researchers. Prerequisites for reading the book include some familiarity with the Navier-Stokes equations and some knowledge of functional analysis and Sololev spaces.
| Author | : Ding-Zhu Du |
| Publisher | : Springer Nature |
| Total Pages | : 298 |
| Release | : 2020-02-20 |
| Genre | : Computers |
| ISBN | : 3030416720 |
Download Complexity and Approximation Book in PDF, ePub and Kindle
This Festschrift is in honor of Ker-I Ko, Professor in the Stony Brook University, USA. Ker-I Ko was one of the founding fathers of computational complexity over real numbers and analysis. He and Harvey Friedman devised a theoretical model for real number computations by extending the computation of Turing machines. He contributed significantly to advancing the theory of structural complexity, especially on polynomial-time isomorphism, instance complexity, and relativization of polynomial-time hierarchy. Ker-I also made many contributions to approximation algorithm theory of combinatorial optimization problems. This volume contains 17 contributions in the area of complexity and approximation. Those articles are authored by researchers over the world, including North America, Europe and Asia. Most of them are co-authors, colleagues, friends, and students of Ker-I Ko.
| Author | : Claude Le Bris |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 264 |
| Release | : 2019-06-17 |
| Genre | : Mathematics |
| ISBN | : 3110633140 |
Download Parabolic Equations with Irregular Data and Related Issues Book in PDF, ePub and Kindle
This book studies the existence and uniqueness of solutions to parabolic-type equations with irregular coefficients and/or initial conditions. It elaborates on the DiPerna-Lions theory of renormalized solutions to linear transport equations and related equations, and also examines the connection between the results on the partial differential equation and the well-posedness of the underlying stochastic/ordinary differential equation.
| Author | : Alex Kaltenbach |
| Publisher | : Springer Nature |
| Total Pages | : 364 |
| Release | : 2023-09-12 |
| Genre | : Mathematics |
| ISBN | : 3031296702 |
Download Pseudo-Monotone Operator Theory for Unsteady Problems with Variable Exponents Book in PDF, ePub and Kindle
This book provides a comprehensive analysis of the existence of weak solutions of unsteady problems with variable exponents. The central motivation is the weak solvability of the unsteady p(.,.)-Navier–Stokes equations describing the motion of an incompressible electro-rheological fluid. Due to the variable dependence of the power-law index p(.,.) in this system, the classical weak existence analysis based on the pseudo-monotone operator theory in the framework of Bochner–Lebesgue spaces is not applicable. As a substitute for Bochner–Lebesgue spaces, variable Bochner–Lebesgue spaces are introduced and analyzed. In the mathematical framework of this substitute, the theory of pseudo-monotone operators is extended to unsteady problems with variable exponents, leading to the weak solvability of the unsteady p(.,.)-Navier–Stokes equations under general assumptions. Aimed primarily at graduate readers, the book develops the material step-by-step, starting with the basics of PDE theory and non-linear functional analysis. The concise introductions at the beginning of each chapter, together with illustrative examples, graphics, detailed derivations of all results and a short summary of the functional analytic prerequisites, will ease newcomers into the subject.
| Author | : Vasco Brattka |
| Publisher | : Springer Nature |
| Total Pages | : 427 |
| Release | : 2021-06-04 |
| Genre | : Computers |
| ISBN | : 3030592340 |
Download Handbook of Computability and Complexity in Analysis Book in PDF, ePub and Kindle
Computable analysis is the modern theory of computability and complexity in analysis that arose out of Turing's seminal work in the 1930s. This was motivated by questions such as: which real numbers and real number functions are computable, and which mathematical tasks in analysis can be solved by algorithmic means? Nowadays this theory has many different facets that embrace topics from computability theory, algorithmic randomness, computational complexity, dynamical systems, fractals, and analog computers, up to logic, descriptive set theory, constructivism, and reverse mathematics. In recent decades computable analysis has invaded many branches of analysis, and researchers have studied computability and complexity questions arising from real and complex analysis, functional analysis, and the theory of differential equations, up to (geometric) measure theory and topology. This handbook represents the first coherent cross-section through most active research topics on the more theoretical side of the field. It contains 11 chapters grouped into parts on computability in analysis; complexity, dynamics, and randomness; and constructivity, logic, and descriptive complexity. All chapters are written by leading experts working at the cutting edge of the respective topic. Researchers and graduate students in the areas of theoretical computer science and mathematical logic will find systematic introductions into many branches of computable analysis, and a wealth of information and references that will help them to navigate the modern research literature in this field.
