Fundamental Directions In Mathematical Fluid Mechanics

Author : Giovanni P. Galdi,Malcolm I. Heywood,Rolf Rannacher
Publisher : Birkhäuser
Page : 293 pages
File Size : 40,5 Mb
Release : 2012-10-14
Category : Mathematics
ISBN : 3034895615

Get Book

Fundamental Directions in Mathematical Fluid Mechanics by Giovanni P. Galdi,Malcolm I. Heywood,Rolf Rannacher Pdf

This volume consists of six articles, each treating an important topic in the theory ofthe Navier-Stokes equations, at the research level. Some of the articles are mainly expository, putting together, in a unified setting, the results of recent research papers and conference lectures. Several other articles are devoted mainly to new results, but present them within a wider context and with a fuller exposition than is usual for journals. The plan to publish these articles as a book began with the lecture notes for the short courses of G.P. Galdi and R. Rannacher, given at the beginning of the International Workshop on Theoretical and Numerical Fluid Dynamics, held in Vancouver, Canada, July 27 to August 2, 1996. A renewed energy for this project came with the founding of the Journal of Mathematical Fluid Mechanics, by G.P. Galdi, J. Heywood, and R. Rannacher, in 1998. At that time it was decided that this volume should be published in association with the journal, and expanded to include articles by J. Heywood and W. Nagata, J. Heywood and M. Padula, and P. Gervasio, A. Quarteroni and F. Saleri. The original lecture notes were also revised and updated.

Author : Giovanni Paolo Galdi,John Groves Heywood,Rolf Rannacher
Publisher : Birkhauser
Page : 293 pages
File Size : 55,5 Mb
Release : 2000
Category : Science
ISBN : 0817664149

Get Book

Fundamental Directions in Mathematical Fluid Mechanics by Giovanni Paolo Galdi,John Groves Heywood,Rolf Rannacher Pdf

Author : Giovanni P. Galdi,John G. Heywood,Rolf Rannacher
Publisher : Birkhäuser
Page : 300 pages
File Size : 43,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034884242

Get Book

Fundamental Directions in Mathematical Fluid Mechanics by Giovanni P. Galdi,John G. Heywood,Rolf Rannacher Pdf

This volume consists of six articles, each treating an important topic in the theory ofthe Navier-Stokes equations, at the research level. Some of the articles are mainly expository, putting together, in a unified setting, the results of recent research papers and conference lectures. Several other articles are devoted mainly to new results, but present them within a wider context and with a fuller exposition than is usual for journals. The plan to publish these articles as a book began with the lecture notes for the short courses of G.P. Galdi and R. Rannacher, given at the beginning of the International Workshop on Theoretical and Numerical Fluid Dynamics, held in Vancouver, Canada, July 27 to August 2, 1996. A renewed energy for this project came with the founding of the Journal of Mathematical Fluid Mechanics, by G.P. Galdi, J. Heywood, and R. Rannacher, in 1998. At that time it was decided that this volume should be published in association with the journal, and expanded to include articles by J. Heywood and W. Nagata, J. Heywood and M. Padula, and P. Gervasio, A. Quarteroni and F. Saleri. The original lecture notes were also revised and updated.

Author : Giovanni Paolo Galdi,Rolf Rannacher
Publisher : World Scientific
Page : 302 pages
File Size : 48,8 Mb
Release : 2010
Category : Science
ISBN : 9789814299329

Get Book

Fundamental Trends in Fluid-structure Interaction by Giovanni Paolo Galdi,Rolf Rannacher Pdf

The interaction of a fluid with a solid body is a widespread phenomenon in nature, occurring at different scales and different applied disciplines. Interestingly enough, even though the mathematical theory of the motion of bodies in a liquid is one of the oldest and most classical problems in fluid mechanics, mathematicians have, only very recently, become interested in a systematic study of the basic problems related to fluid-structure interaction, from both analytical and numerical viewpoints. Fundamental Trends in Fluid-Structure Interaction is a unique collection of important papers written by world-renowned experts aimed at furnishing the highest level of development in several significant areas of fluid-structure interactions. The contributions cover several aspects of this discipline, from mathematical analysis, numerical simulation and modeling viewpoints, including motion of rigid and elastic bodies in a viscous liquid, particulate flow and hemodynamic.

Author : S. Friedlander,D. Serre
Publisher : Gulf Professional Publishing
Page : 627 pages
File Size : 41,8 Mb
Release : 2003-03-27
Category : Science
ISBN : 9780080533544

Get Book

Handbook of Mathematical Fluid Dynamics by S. Friedlander,D. Serre Pdf

The Handbook of Mathematical Fluid Dynamics is a compendium of essays that provides a survey of the major topics in the subject. Each article traces developments, surveys the results of the past decade, discusses the current state of knowledge and presents major future directions and open problems. Extensive bibliographic material is provided. The book is intended to be useful both to experts in the field and to mathematicians and other scientists who wish to learn about or begin research in mathematical fluid dynamics. The Handbook illuminates an exciting subject that involves rigorous mathematical theory applied to an important physical problem, namely the motion of fluids.

Author : Eduard Feireisl,Trygve G. Karper,Milan Pokorný
Publisher : Birkhäuser
Page : 186 pages
File Size : 40,7 Mb
Release : 2016-11-25
Category : Mathematics
ISBN : 9783319448350

Get Book

Mathematical Theory of Compressible Viscous Fluids by Eduard Feireisl,Trygve G. Karper,Milan Pokorný Pdf

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 : Jiri Neustupa,Patrick Penel
Publisher : Birkhäuser
Page : 271 pages
File Size : 54,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034882439

Get Book

Mathematical Fluid Mechanics by Jiri Neustupa,Patrick Penel Pdf

Mathematical modeling and numerical simulation in fluid mechanics are topics of great importance both in theory and technical applications. The present book attempts to describe the current status in various areas of research. The 10 chapters, mostly survey articles, are written by internationally renowned specialists and offer a range of approaches to and views of the essential questions and problems. In particular, the theories of incompressible and compressible Navier-Stokes equations are considered, as well as stability theory and numerical methods in fluid mechanics. Although the book is primarily written for researchers in the field, it will also serve as a valuable source of information to graduate students.

Author : Richard E. Meyer
Publisher : Courier Corporation
Page : 192 pages
File Size : 51,6 Mb
Release : 2012-03-09
Category : Science
ISBN : 9780486151403

Get Book

Introduction to Mathematical Fluid Dynamics by Richard E. Meyer Pdf

Excellent coverage of kinematics, momentum principle, Newtonian fluid, rotating fluids, compressibility, and more. Geared toward advanced undergraduate and graduate students of mathematics and science; prerequisites include calculus and vector analysis. 1971 edition.

Author : Giovanni Paolo Galdi,Rolf Rannacher
Publisher : Unknown
Page : 376 pages
File Size : 53,7 Mb
Release : 2002
Category : Science
ISBN : UOM:39015052879932

Get Book

Topics in Mathematical Fluid Mechanics by Giovanni Paolo Galdi,Rolf Rannacher Pdf

Author : Antonio Romano,Addolorata Marasco
Publisher : Springer
Page : 489 pages
File Size : 47,8 Mb
Release : 2014-10-14
Category : Science
ISBN : 9781493916047

Get Book

Continuum Mechanics using Mathematica® by Antonio Romano,Addolorata Marasco Pdf

This textbook's methodological approach familiarizes readers with the mathematical tools required to correctly define and solve problems in continuum mechanics. Covering essential principles and fundamental applications, this second edition of Continuum Mechanics using Mathematica® provides a solid basis for a deeper study of more challenging and specialized problems related to nonlinear elasticity, polar continua, mixtures, piezoelectricity, ferroelectricity, magneto-fluid mechanics and state changes (see A. Romano, A. Marasco, Continuum Mechanics: Advanced Topics and Research Trends, Springer (Birkhäuser), 2010, ISBN 978-0-8176-4869-5). Key topics and features: * Concise presentation strikes a balance between fundamentals and applications * Requisite mathematical background carefully collected in two introductory chapters and one appendix * Recent developments highlighted through coverage of more significant applications to areas such as wave propagation, fluid mechanics, porous media, linear elasticity. This second edition expands the key topics and features to include: * Two new applications of fluid dynamics: meteorology and navigation * New exercises at the end of the existing chapters * The packages are rewritten for Mathematica 9 Continuum Mechanics using Mathematica®: Fundamentals, Applications and Scientific Computing is aimed at advanced undergraduates, graduate students and researchers in applied mathematics, mathematical physics and engineering. It may serve as a course textbook or self-study reference for anyone seeking a solid foundation in continuum mechanics.

Author : I. V. Denisova,V. A. Solonnikov
Publisher : Springer Nature
Page : 319 pages
File Size : 53,6 Mb
Release : 2021-09-20
Category : Mathematics
ISBN : 9783030700539

Get Book

Motion of a Drop in an Incompressible Fluid by I. V. Denisova,V. A. Solonnikov Pdf

This mathematical monograph details the authors' results on solutions to problems governing the simultaneous motion of two incompressible fluids. Featuring a thorough investigation of the unsteady motion of one fluid in another, researchers will find this to be a valuable resource when studying non-coercive problems to which standard techniques cannot be applied. As authorities in the area, the authors offer valuable insight into this area of research, which they have helped pioneer. This volume will offer pathways to further research for those interested in the active field of free boundary problems in fluid mechanics, and specifically the two-phase problem for the Navier-Stokes equations. The authors’ main focus is on the evolution of an isolated mass with and without surface tension on the free interface. Using the Lagrange and Hanzawa transformations, local well-posedness in the Hölder and Sobolev–Slobodeckij on L2 spaces is proven as well. Global well-posedness for small data is also proven, as is the well-posedness and stability of the motion of two phase fluid in a bounded domain. Motion of a Drop in an Incompressible Fluid will appeal to researchers and graduate students working in the fields of mathematical hydrodynamics, the analysis of partial differential equations, and related topics.

Author : S. Friedlander,D. Serre
Publisher : Elsevier
Page : 687 pages
File Size : 47,6 Mb
Release : 2004-10-06
Category : Science
ISBN : 9780080472911

Get Book

Handbook of Mathematical Fluid Dynamics by S. Friedlander,D. Serre Pdf

The Handbook of Mathematical Fluid Dynamics is a compendium of essays that provides a survey of the major topics in the subject. Each article traces developments, surveys the results of the past decade, discusses the current state of knowledge and presents major future directions and open problems. Extensive bibliographic material is provided. The book is intended to be useful both to experts in the field and to mathematicians and other scientists who wish to learn about or begin research in mathematical fluid dynamics. The Handbook illuminates an exciting subject that involves rigorous mathematical theory applied to an important physical problem, namely the motion of fluids.

Author : Daniel D. Joseph,Yuriko Y. Renardy
Publisher : Springer Science & Business Media
Page : 489 pages
File Size : 47,5 Mb
Release : 2013-11-21
Category : Science
ISBN : 9781461392934

Get Book

Fundamentals of Two-Fluid Dynamics by Daniel D. Joseph,Yuriko Y. Renardy Pdf

Two-fluid dynamics is a challenging subject rich in physics and prac tical applications. Many of the most interesting problems are tied to the loss of stability which is realized in preferential positioning and shaping of the interface, so that interfacial stability is a major player in this drama. Typically, solutions of equations governing the dynamics of two fluids are not uniquely determined by the boundary data and different configurations of flow are compatible with the same data. This is one reason why stability studies are important; we need to know which of the possible solutions are stable to predict what might be observed. When we started our studies in the early 1980's, it was not at all evident that stability theory could actu ally work in the hostile environment of pervasive nonuniqueness. We were pleasantly surprised, even astounded, by the extent to which it does work. There are many simple solutions, called basic flows, which are never stable, but we may always compute growth rates and determine the wavelength and frequency of the unstable mode which grows the fastest. This proce dure appears to work well even in deeply nonlinear regimes where linear theory is not strictly valid, just as Lord Rayleigh showed long ago in his calculation of the size of drops resulting from capillary-induced pinch-off of an inviscid jet.

Author : Rutherford Aris
Publisher : Courier Corporation
Page : 320 pages
File Size : 52,7 Mb
Release : 2012-08-28
Category : Mathematics
ISBN : 9780486134895

Get Book

Vectors, Tensors and the Basic Equations of Fluid Mechanics by Rutherford Aris Pdf

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 : Giovanni P. Galdi,Rolf Rannacher
Publisher : World Scientific
Page : 302 pages
File Size : 53,6 Mb
Release : 2010
Category : Mathematics
ISBN : 9789814299336

Get Book

Fundamental Trends in Fluid-structure Interaction by Giovanni P. Galdi,Rolf Rannacher Pdf

The interaction of a fluid with a solid body is a widespread phenomenon in nature, occurring at different scales and different applied disciplines. Interestingly enough, even though the mathematical theory of the motion of bodies in a liquid is one of the oldest and most classical problems in fluid mechanics, mathematicians have, only very recently, become interested in a systematic study of the basic problems related to fluid-structure interaction, from both analytical and numerical viewpoints. Fundamental Trends in Fluid-Structure Interaction is a unique collection of important papers written by world-renowned experts aimed at furnishing the highest level of development in several significant areas of fluid-structure interactions. The contributions cover several aspects of this discipline, from mathematical analysis, numerical simulation and modeling viewpoints, including motion of rigid and elastic bodies in a viscous liquid, particulate flow and hemodynamic.