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Author : Yoshikazu Giga
Publisher :
ISBN 13 : 9783319101514
Total Pages : pages
Book Rating : 4.1/5 (15 download)
Download or read book Handbook of Mathematical Analysis in Mechanics of Viscous Fluids written by Yoshikazu Giga and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. J. Chorin
Publisher : Springer Science & Business Media
ISBN 13 : 1468400827
Total Pages : 213 pages
Book Rating : 4.4/5 (684 download)
Download or read book A Mathematical Introduction to Fluid Mechanics written by A. J. Chorin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes are based on a one-quarter (i. e. very short) course in fluid mechanics taught in the Department of Mathematics of the University of California, Berkeley during the Spring of 1978. The goal of the course was not to provide an exhaustive account of fluid mechanics, nor to assess the engineering value of various approxima tion procedures. The goals were: (i) to present some of the basic ideas of fluid mechanics in a mathematically attractive manner (which does not mean "fully rigorous"); (ii) to present the physical back ground and motivation for some constructions which have been used in recent mathematical and numerical work on the Navier-Stokes equations and on hyperbolic systems; (iil. ) 'to interest some of the students in this beautiful and difficult subject. The notes are divided into three chapters. The first chapter contains an elementary derivation of the equations; the concept of vorticity is introduced at an early stage. The second chapter contains a discussion of potential flow, vortex motion, and boundary layers. A construction of boundary layers using vortex sheets and random walks is presented; it is hoped that it helps to clarify the ideas. The third chapter contains an analysis of one-dimensional gas iv flow, from a mildly modern point of view. Weak solutions, Riemann problems, Glimm's scheme, and combustion waves are discussed. The style is informal and no attempt was made to hide the authors' biases and interests.
Author : Richard E. Meyer
Publisher : Courier Corporation
ISBN 13 : 0486138941
Total Pages : 194 pages
Book Rating : 4.4/5 (861 download)
Download or read book Introduction to Mathematical Fluid Dynamics written by Richard E. Meyer and published by Courier Corporation. This book was released on 2012-03-08 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geared toward advanced undergraduate and graduate students in applied mathematics, engineering, and the physical sciences, this introductory text covers kinematics, momentum principle, Newtonian fluid, compressibility, and other subjects. 1971 edition.
Author : Jose Francisco Rodrigues
Publisher : CRC Press
ISBN 13 : 1000115232
Total Pages : 280 pages
Book Rating : 4.0/5 (1 download)
Download or read book Mathematical Topics in Fluid Mechanics written by Jose Francisco Rodrigues and published by CRC Press. This book was released on 2020-10-02 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Research Note presents several contributions and mathematical studies in fluid mechanics, namely in non-Newtonian and viscoelastic fluids and on the Navier-Stokes equations in unbounded domains. It includes review of the mathematical analysis of incompressible and compressible flows and results in magnetohydrodynamic and electrohydrodynamic stability and thermoconvective flow of Boussinesq-Stefan type. These studies, along with brief communications on a variety of related topics comprise the proceedings of a summer course held in Lisbon, Portugal in 1991. Together they provide a set of comprehensive survey and advanced introduction to problems in fluid mechanics and partial differential equations.
Author : Franck Boyer
Publisher : Springer Science & Business Media
ISBN 13 : 1461459753
Total Pages : 538 pages
Book Rating : 4.4/5 (614 download)
Download or read book Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations andRelated Models written by Franck Boyer and published by Springer Science & Business Media. This book was released on 2012-11-06 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Eduard Feireisl
Publisher : Birkhäuser
ISBN 13 : 3319448358
Total Pages : 189 pages
Book Rating : 4.3/5 (194 download)
Download or read book Mathematical Theory of Compressible Viscous Fluids written by Eduard Feireisl and published by Birkhäuser. This book was released on 2016-11-25 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an essential introduction to the mathematical theory of compressible viscous fluids. The main goal is to present analytical methods from the perspective of their numerical applications. Accordingly, we introduce the principal theoretical tools needed to handle well-posedness of the underlying Navier-Stokes system, study the problems of sequential stability, and, lastly, construct solutions by means of an implicit numerical scheme. Offering a unique contribution – by exploring in detail the “synergy” of analytical and numerical methods – the book offers a valuable resource for graduate students in mathematics and researchers working in mathematical fluid mechanics. Mathematical fluid mechanics concerns problems that are closely connected to real-world applications and is also an important part of the theory of partial differential equations and numerical analysis in general. This book highlights the fact that numerical and mathematical analysis are not two separate fields of mathematics. It will help graduate students and researchers to not only better understand problems in mathematical compressible fluid mechanics but also to learn something from the field of mathematical and numerical analysis and to see the connections between the two worlds. Potential readers should possess a good command of the basic tools of functional analysis and partial differential equations including the function spaces of Sobolev type.
Author : Boris Khots
Publisher : CRC Press
ISBN 13 : 1000466272
Total Pages : 229 pages
Book Rating : 4.0/5 (4 download)
Download or read book Observability and Mathematics written by Boris Khots and published by CRC Press. This book was released on 2021-11-17 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author approaches an old classic problem - the existence of solutions of Navier-Stokes equations. The main objective is to model and derive of equation of continuity, Euler equation of fluid motion, energy flux equation, Navier-Stokes equations from the observer point of view and solve classic problem for this interpretation of fluid motion laws. If we have a piece of metal or a volume of liquid, the idea impresses itself upon us that it is divisible without limit, that any part of it, however small, would again have the same properties. But, wherever the methods of research in the physics of matter were refined sufficiently, limits to divisibility were reached that are not due to the inadequacy of our experiments but to the nature of the subject matter. Observability in mathematics were developed by the author based on denial of infinity idea. He introduces observers into arithmetic, and arithmetic becomes dependent on observers. And after that the basic mathematical parts also become dependent on observers. This approach permits to reconsider the fluid motion laws, analyze them and get solutions of classic problems. Table of Contents 1. Introduction. 2. Observability and Arithmetic. 3. Observability and Vector Algebra. 4. Observability and Mathematical Analysis (Calculus). 5. Classic Fluid Mechanics equations and Observability. 6. Observability and Thermodynamical equations. 7. Observability and equation of continuity. 8. Observability and Euler equation of motion of the fluid. 9. Observability and energy flux and moment flux equations. 10. Observability and incompressible fluids. 11. Observability and Navier-Stokes equations. 12. Observability and Relativistic Fluid Mechanics. 13. Appendix: Review of publications of the Mathematics with Observers. 14. Glossary. Bibliography Index Biography Boris Khots, DrSci, lives in Iowa, USA, Independent Researcher. Alma Mater - Moscow State Lomonosov University, Department of Mathematics and Mechanics (mech-math). Creator of Observer’s Mathematics. Participant of more than 30 Mathematical international congresses, conferences. In particular, participated with presentation at International Congresses of Mathematicians on 1998 (Germany), 2002 (China), 2006 (Spain), 2010 (India), 2014 (South Korea). More than 150 mathematical books and papers.
Author : Raphaël Danchin
Publisher : American Mathematical Soc.
ISBN 13 : 1470436469
Total Pages : 254 pages
Book Rating : 4.4/5 (74 download)
Download or read book Mathematical Analysis in Fluid Mechanics written by Raphaël Danchin and published by American Mathematical Soc.. This book was released on 2018-06-26 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the International Conference on Vorticity, Rotation and Symmetry (IV)—Complex Fluids and the Issue of Regularity, held from May 8–12, 2017, in Luminy, Marseille, France. The papers cover topics in mathematical fluid mechanics ranging from the classical regularity issue for solutions of the 3D Navier-Stokes system to compressible and non-Newtonian fluids, MHD flows and mixtures of fluids. Topics of different kinds of solutions, boundary conditions, and interfaces are also discussed.
Author : Michael Griebel
Publisher : SIAM
ISBN 13 : 0898713986
Total Pages : 222 pages
Book Rating : 4.8/5 (987 download)
Download or read book Numerical Simulation in Fluid Dynamics written by Michael Griebel and published by SIAM. This book was released on 1998-01-01 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this translation of the German edition, the authors provide insight into the numerical simulation of fluid flow. Using a simple numerical method as an expository example, the individual steps of scientific computing are presented: the derivation of the mathematical model; the discretization of the model equations; the development of algorithms; parallelization; and visualization of the computed data. In addition to the treatment of the basic equations for modeling laminar, transient flow of viscous, incompressible fluids - the Navier-Stokes equations - the authors look at the simulation of free surface flows; energy and chemical transport; and turbulence. Readers are enabled to write their own flow simulation program from scratch. The variety of applications is shown in several simulation results, including 92 black-and-white and 18 color illustrations. After reading this book, readers should be able to understand more enhanced algorithms of computational fluid dynamics and apply their new knowledge to other scientific fields.
Author : Rutherford Aris
Publisher : Courier Corporation
ISBN 13 : 048613489X
Total Pages : 322 pages
Book Rating : 4.4/5 (861 download)
Download or read book Vectors, Tensors and the Basic Equations of Fluid Mechanics written by Rutherford Aris and published by Courier Corporation. This book was released on 2012-08-28 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory text, geared toward advanced undergraduate and graduate students, applies mathematics of Cartesian and general tensors to physical field theories and demonstrates them in terms of the theory of fluid mechanics. 1962 edition.
Author : Tomáš Bodnár
Publisher : Springer Nature
ISBN 13 : 3030681440
Total Pages : 263 pages
Book Rating : 4.0/5 (36 download)
Download or read book Waves in Flows written by Tomáš Bodnár and published by Springer Nature. This book was released on 2021-05-04 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume explores a range of recent advances in mathematical fluid mechanics, covering theoretical topics and numerical methods. Chapters are based on the lectures given at a workshop in the summer school Waves in Flows, held in Prague from August 27-31, 2018. A broad overview of cutting edge research is presented, with a focus on mathematical modeling and numerical simulations. Readers will find a thorough analysis of numerous state-of-the-art developments presented by leading experts in their respective fields. Specific topics covered include: Chemorepulsion Compressible Navier-Stokes systems Newtonian fluids Fluid-structure interactions Waves in Flows: The 2018 Prague-Sum Workshop Lectures will appeal to post-doctoral students and scientists whose work involves fluid mechanics.
Author : Vladimir S. Ajaev
Publisher : Springer Science & Business Media
ISBN 13 : 1461413419
Total Pages : 219 pages
Book Rating : 4.4/5 (614 download)
Download or read book Interfacial Fluid Mechanics written by Vladimir S. Ajaev and published by Springer Science & Business Media. This book was released on 2012-02-07 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interfacial Fluid Mechanics: A Mathematical Modeling Approach provides an introduction to mathematical models of viscous flow used in rapidly developing fields of microfluidics and microscale heat transfer. The basic physical effects are first introduced in the context of simple configurations and their relative importance in typical microscale applications is discussed. Then, several configurations of importance to microfluidics, most notably thin films/droplets on substrates and confined bubbles, are discussed in detail. Topics from current research on electrokinetic phenomena, liquid flow near structured solid surfaces,evaporation/condensation, and surfactant phenomena are discussed in the later chapters.
Author : Tatsien Li
Publisher : World Scientific
ISBN 13 : 9814482145
Total Pages : 306 pages
Book Rating : 4.8/5 (144 download)
Download or read book Frontiers In Mathematical Analysis And Numerical Methods: In Memory Of Jacques-louis Lions written by Tatsien Li and published by World Scientific. This book was released on 2004-07-26 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable volume is a collection of articles in memory of Jacques-Louis Lions, a leading mathematician and the founder of the Contemporary French Applied Mathematics School. The contributions have been written by his friends, colleagues and students, including C Bardos, A Bensoussan, S S Chern, P G Ciarlet, R Glowinski, Gu Chaohao, B Malgrange, G Marchuk, O Pironneau, W Strauss, R Temam, etc.The book concerns many important results in analysis, geometry, numerical methods, fluid mechanics, control theory, etc.
Author : Hermann Sohr
Publisher : Springer Science & Business Media
ISBN 13 : 3034805519
Total Pages : 376 pages
Book Rating : 4.0/5 (348 download)
Download or read book The Navier-Stokes Equations written by Hermann Sohr and published by Springer Science & Business Media. This book was released on 2012-12-13 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary objective of this monograph is to develop an elementary and se- containedapproachtothemathematicaltheoryofaviscousincompressible?uid n in a domain ? of the Euclidean spaceR , described by the equations of Navier- Stokes. The book is mainly directed to students familiar with basic functional analytic tools in Hilbert and Banach spaces. However, for readers’ convenience, in the ?rst two chapters we collect, without proof some fundamental properties of Sobolev spaces, distributions, operators, etc. Another important objective is to formulate the theory for a completely general domain ?. In particular, the theory applies to arbitrary unbounded, non-smooth domains. For this reason, in the nonlinear case, we have to restrict ourselves to space dimensions n=2,3 that are also most signi?cant from the physical point of view. For mathematical generality, we will develop the l- earized theory for all n? 2. Although the functional-analytic approach developed here is, in principle, known to specialists, its systematic treatment is not available, and even the diverseaspectsavailablearespreadoutintheliterature.However,theliterature is very wide, and I did not even try to include a full list of related papers, also because this could be confusing for the student. In this regard, I would like to apologize for not quoting all the works that, directly or indirectly, have inspired this monograph.
Author : A. R. Paterson
Publisher : Cambridge University Press
ISBN 13 : 9780521274241
Total Pages : 544 pages
Book Rating : 4.2/5 (742 download)
Download or read book A First Course in Fluid Dynamics written by A. R. Paterson and published by Cambridge University Press. This book was released on 1983-11-10 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the subject of fluid dynamics from the first principles.
Author : Chiang C. Mei
Publisher : Cambridge University Press
ISBN 13 : 9780521587983
Total Pages : 484 pages
Book Rating : 4.5/5 (879 download)
Download or read book Mathematical Analysis in Engineering written by Chiang C. Mei and published by Cambridge University Press. This book was released on 1997-01-13 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: A paperback edition of successful and well reviewed 1995 graduate text on applied mathematics for engineers.
Author : Eduard Feireisl
Publisher :
ISBN 13 : 9783030737894
Total Pages : 0 pages
Book Rating : 4.7/5 (378 download)
Download or read book Numerical Analysis of Compressible Fluid Flows written by Eduard Feireisl and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the numerical analysis of compressible fluids in the spirit of the celebrated Lax equivalence theorem. The text is aimed at graduate students in mathematics and fluid dynamics, researchers in applied mathematics, numerical analysis and scientific computing, and engineers and physicists. The book contains original theoretical material based on a new approach to generalized solutions (dissipative or measure-valued solutions). The concept of a weak-strong uniqueness principle in the class of generalized solutions is used to prove the convergence of various numerical methods. The problem of oscillatory solutions is solved by an original adaptation of the method of K-convergence. An effective method of computing the Young measures is presented. Theoretical results are illustrated by a series of numerical experiments. Applications of these concepts are to be expected in other problems of fluid mechanics and related fields.
