Equations of Motion for Incompressible Viscous Fluids

Equations of Motion for Incompressible Viscous Fluids PDF Author: Tujin Kim
Publisher: Springer Nature
ISBN: 3030786595
Category : Mathematics
Languages : en
Pages : 374

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Book Description
This monograph explores the motion of incompressible fluids by presenting and incorporating various boundary conditions possible for real phenomena. The authors’ approach carefully walks readers through the development of fluid equations at the cutting edge of research, and the applications of a variety of boundary conditions to real-world problems. Special attention is paid to the equivalence between partial differential equations with a mixture of various boundary conditions and their corresponding variational problems, especially variational inequalities with one unknown. A self-contained approach is maintained throughout by first covering introductory topics, and then moving on to mixtures of boundary conditions, a thorough outline of the Navier-Stokes equations, an analysis of both the steady and non-steady Boussinesq system, and more. Equations of Motion for Incompressible Viscous Fluids is ideal for postgraduate students and researchers in the fields of fluid equations, numerical analysis, and mathematical modelling.

Equations of Motion for Incompressible Viscous Fluids

Equations of Motion for Incompressible Viscous Fluids PDF Author: Tujin Kim
Publisher: Springer Nature
ISBN: 3030786595
Category : Mathematics
Languages : en
Pages : 374

Get Book Here

Book Description
This monograph explores the motion of incompressible fluids by presenting and incorporating various boundary conditions possible for real phenomena. The authors’ approach carefully walks readers through the development of fluid equations at the cutting edge of research, and the applications of a variety of boundary conditions to real-world problems. Special attention is paid to the equivalence between partial differential equations with a mixture of various boundary conditions and their corresponding variational problems, especially variational inequalities with one unknown. A self-contained approach is maintained throughout by first covering introductory topics, and then moving on to mixtures of boundary conditions, a thorough outline of the Navier-Stokes equations, an analysis of both the steady and non-steady Boussinesq system, and more. Equations of Motion for Incompressible Viscous Fluids is ideal for postgraduate students and researchers in the fields of fluid equations, numerical analysis, and mathematical modelling.

Introduction to the Mathematical Theory of Compressible Flow

Introduction to the Mathematical Theory of Compressible Flow PDF Author: Antonín Novotny
Publisher: OUP Oxford
ISBN: 019152395X
Category : Mathematics
Languages : en
Pages : 528

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Book Description
This book provides a comprehensive introduction to the mathematical theory of compressible flow, describing both inviscid and viscous compressible flow, which are governed by the Euler and the Navier-Stokes equations respectively. The method of presentation allows readers with different backgrounds to focus on various modules of the material, either in part or more fully. Chapters include detailed heuristic arguments providing motivation for technical aspects that are rigorously presented later on in the text; for instance, the existence theory for steady and unsteady Navier-Stokes equations of isentropic compressible flow, and two-by-two systems of Euler equations in one space dimension. These parts are presented in a textbook style with auxiliary material in supporting sections and appendices. The book includes a rich index and extensive bibliography, thus allowing for quick orientation among the vast collection of literature on the mathematical theory of compressible flow, as well as in the book itself.

Navier-Stokes Equations

Navier-Stokes Equations PDF Author: Rodolfo Salvi
Publisher: CRC Press
ISBN: 9780582356436
Category : Mathematics
Languages : en
Pages : 364

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Book Description
This volume contains the texts of selected lectures delivered at the "International Conference on Navier-Stokes Equations: Theory and Numerical Methods," held during 1997 in Varenna, Lecco (Italy). In recent years, the interest in mathematical theory of phenomena in fluid mechanics has increased, particularly from the point of view of numerical analysis. The book surveys recent developments in Navier-Stokes equations and their applications, and contains contributions from leading experts in the field. It will be a valuable resource for all researchers in fluid dynamics.

Handbook of Mathematical Fluid Dynamics

Handbook of Mathematical Fluid Dynamics PDF Author: S. Friedlander
Publisher: Elsevier
ISBN: 0080532926
Category : Science
Languages : en
Pages : 829

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Book Description
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.

Hyperbolic Problems: Theory, Numerics, Applications

Hyperbolic Problems: Theory, Numerics, Applications PDF Author: Sylvie Benzoni-Gavage
Publisher: Springer Science & Business Media
ISBN: 3540757120
Category : Mathematics
Languages : en
Pages : 1117

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Book Description
This volume contains papers that were presented at HYP2006, the eleventh international Conference on Hyperbolic Problems: Theory, Numerics and Applications. This biennial series of conferences has become one of the most important international events in Applied Mathematics. As computers became more and more powerful, the interplay between theory, modeling, and numerical algorithms gained considerable impact, and the scope of HYP conferences expanded accordingly.

Methods and Applications of Analysis

Methods and Applications of Analysis PDF Author:
Publisher:
ISBN:
Category : Mathematical analysis
Languages : en
Pages : 880

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Book Description


Dynamics of Viscous Compressible Fluids

Dynamics of Viscous Compressible Fluids PDF Author: Eduard Feireisl
Publisher: Oxford University Press
ISBN: 9780198528388
Category : Language Arts & Disciplines
Languages : en
Pages : 228

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Book Description
This text develops the ideas and concepts of the mathematical theory of viscous, compressible and heat conducting fluids. The material is by no means intended to be the last word on the subject but rather to indicate possible directions of future research.

Mathematical Reviews

Mathematical Reviews PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1852

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Book Description


Navier-Stokes Equations and Related Nonlinear Problems

Navier-Stokes Equations and Related Nonlinear Problems PDF Author: H. Amann
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 311231929X
Category : Mathematics
Languages : en
Pages : 448

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Book Description
No detailed description available for "Navier-Stokes Equations and Related Nonlinear Problems".

Free Boundary Problems for Nonstationary Navier-Stokes Equations

Free Boundary Problems for Nonstationary Navier-Stokes Equations PDF Author: Ewa Zadrzyńska
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 142

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Book Description