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Mathematical Aspects Of Fluid Mechanics

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Mathematical Aspects Of Fluid Mechanics

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Author : James C. Robinson
language : en
Publisher: Cambridge University Press
Release Date : 2012-10-18

Mathematical Aspects Of Fluid Mechanics written by James C. Robinson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-18 with Mathematics categories.

The rigorous mathematical theory of the equations of fluid dynamics has been a focus of intense activity in recent years. This volume is the product of a workshop held at the University of Warwick to consolidate, survey and further advance the subject. The Navier–Stokes equations feature prominently: the reader will find new results concerning feedback stabilisation, stretching and folding, and decay in norm of solutions to these fundamental equations of fluid motion. Other topics covered include new models for turbulent energy cascade, existence and uniqueness results for complex fluids and certain interesting solutions of the SQG equation. The result is an accessible collection of survey articles and more traditional research papers that will serve both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers.

Mathematical Aspects Of Fluid Mechanics

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Author : James C. Robinson
language : en
Publisher: Cambridge University Press
Release Date : 2012-10-18

A selection of surveys and original research papers in mathematical fluid mechanics arising from a 2010 workshop held in Warwick.

New Trends And Results In Mathematical Description Of Fluid Flows

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Author : Miroslav Bulíček
language : en
Publisher: Springer
Release Date : 2018-09-26

New Trends And Results In Mathematical Description Of Fluid Flows written by Miroslav Bulíček and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-26 with Mathematics categories.

The book presents recent results and new trends in the theory of fluid mechanics. Each of the four chapters focuses on a different problem in fluid flow accompanied by an overview of available older results. The chapters are extended lecture notes from the ESSAM school "Mathematical Aspects of Fluid Flows" held in Kácov (Czech Republic) in May/June 2017. The lectures were presented by Dominic Breit (Heriot-Watt University Edinburgh), Yann Brenier (École Polytechnique, Palaiseau), Pierre-Emmanuel Jabin (University of Maryland) and Christian Rohde (Universität Stuttgart), and cover various aspects of mathematical fluid mechanics – from Euler equations, compressible Navier-Stokes equations and stochastic equations in fluid mechanics to equations describing two-phase flow; from the modeling and mathematical analysis of equations to numerical methods. Although the chapters feature relatively recent results, they are presented in a form accessible to PhD students in the field ofmathematical fluid mechanics.

Mathematical Aspects Of Vortex Dynamics

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Author : Russel E. Caflisch
language : en
Publisher: SIAM
Release Date : 1989-01-01

Mathematical Aspects Of Vortex Dynamics written by Russel E. Caflisch and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-01 with Science categories.

New Perspectives In Mathematical Fluid Mechanics

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Author : Miroslav Bulíček
language : en
Publisher: Birkhäuser
Release Date : 2025-10-24

New Perspectives In Mathematical Fluid Mechanics written by Miroslav Bulíček and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-10-24 with Mathematics categories.

This volume brings together lecture notes from the two most recent editions of the EMS Summer School Mathematical Aspects of Fluid Flows, held in Kačov, Czech Republic, in May 2019 and 2024. The lectures were taught by leading experts in various fields of mathematical fluid mechanics and offer the current state of the art and emerging trends in the field. The book is organized into two parts: Part I features lecture notes from the 2024 edition, covering quantum fluids, mathematical models of tumor growth, and fluid mixtures—each explored from a mathematical perspective. Part II includes two contributions from the 2019 edition, whose publication was delayed due to the Covid-19 pandemic. These chapters focus on the regularity theory of compressible and incompressible fluid flows, giving an interesting overview of the developments in the field. This volume is an ideal resource for graduate students, early-career researchers, and specialists working in partial differential equations, fluid mechanics, and related areas.

Navier Stokes Equations

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Author : Peter Constantin
language : en
Publisher: University of Chicago Press
Release Date : 1988

Navier Stokes Equations written by Peter Constantin and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.

Both an original contribution and a lucid introduction to mathematical aspects of fluid mechanics, Navier-Stokes Equations provides a compact and self-contained course on these classical, nonlinear, partial differential equations, which are used to describe and analyze fluid dynamics and the flow of gases.

Mathematical Fluid Mechanics

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Author : Jiri Neustupa
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Mathematical Fluid Mechanics written by Jiri Neustupa and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

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.

Elements Of Fluid Dynamics

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Author : Guido Buresti
language : en
Publisher: World Scientific Publishing Company
Release Date : 2012-06-26

Elements Of Fluid Dynamics written by Guido Buresti and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-26 with Technology & Engineering categories.

Elements of Fluid Dynamics is intended to be a basic textbook, useful for undergraduate and graduate students in different fields of engineering, as well as in physics and applied mathematics. The main objective of the book is to provide an introduction to fluid dynamics in a simultaneously rigorous and accessible way, and its approach follows the idea that both the generation mechanisms and the main features of the fluid dynamic loads can be satisfactorily understood only after the equations of fluid motion and all their physical and mathematical implications have been thoroughly assimilated. Therefore, the complete equations of motion of a compressible viscous fluid are first derived and their physical and mathematical aspects are thoroughly discussed. Subsequently, the necessity of simplified treatments is highlighted, and a detailed analysis is made of the assumptions and range of applicability of the incompressible flow model, which is then adopted for most of the rest of the book. Furthermore, the role of the generation and dynamics of vorticity on the development of different flows is emphasized, as well as its influence on the characteristics, magnitude and predictability of the fluid dynamic loads acting on moving bodies.The book is divided into two parts which differ in target and method of utilization. The first part contains the fundamentals of fluid dynamics that are essential for any student new to the subject. This part of the book is organized in a strictly sequential way, i.e. each chapter is assumed to be carefully read and studied before the next one is tackled, and its aim is to lead the reader in understanding the origin of the fluid dynamic forces on different types of bodies. The second part of the book is devoted to selected topics that may be of more specific interest to different students. In particular, some theoretical aspects of incompressible flows are first analysed and classical applications of fluid dynamics such as the aerodynamics of airfoils, wings and bluff bodies are then described. The one-dimensional treatment of compressible flows is finally considered, together with its application to the study of the motion in ducts.

Navier Stokes Equations

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Author : Peter Constantin
language : en
Publisher: University of Chicago Press
Release Date : 2020-04-07

Mechanics And Mathematics Of Fluids Of The Differential Type

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Author : D. Cioranescu
language : en
Publisher: Springer
Release Date : 2016-07-29

Mechanics And Mathematics Of Fluids Of The Differential Type written by D. Cioranescu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-29 with Science categories.

This text is the first of its kind to bring together both the thermomechanics and mathematical analysis of Reiner-Rivlin fluids and fluids of grades 2 and 3 in a single book. Each part of the book can be considered as being self-contained. The first part of the book is devoted to a description of the mechanics, thermodynamics, and stability of flows of fluids of grade 2 and grade 3. The second part of the book is dedicated to the development of rigorous mathematical results concerning the equations governing the motion of a family of fluids of the differential type. Finally, the proofs of a number of useful results are collected in an appendix.

Mathematical Aspects Of Fluid Mechanics

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