Equations of motion for incompressible viscous fluids : with mixed boundary conditions / Tujin Kim, Daomin Cao.
2021
QA911
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Title
Equations of motion for incompressible viscous fluids : with mixed boundary conditions / Tujin Kim, Daomin Cao.
Author
Kim, Tujin, author.
ISBN
9783030786595 (electronic bk.)
3030786595 (electronic bk.)
3030786587
9783030786588
3030786595 (electronic bk.)
3030786587
9783030786588
Publication Details
Cham, Switzerland : Birkhäuser, 2021.
Language
English
Description
1 online resource
Item Number
10.1007/978-3-030-78659-5 doi
Call Number
QA911
Dewey Decimal Classification
620.1/064
Summary
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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Open access.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed September 20, 2021).
Added Author
Cao, Daomin, 1963- author.
Series
Advances in mathematical fluid mechanics, 2297-0339
Available in Other Form
Print version: 9783030786588
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Table of Contents
Miscellanea of Analysis
Fluid Equations
The Steady Navier-Stokes System
The Non-steady Navier-Stokes System
The Steady Navier-Stokes System with Friction Boundary Conditions
The Non-steady Navier-Stokes System with Friction Boundary Conditions
The Steady Boussinesq System
The Non-steady Boussinesq System
The Steady Equations for Heat-conducting Fluids
The Non-steady Equations for Heat-conducting Fluids.
Fluid Equations
The Steady Navier-Stokes System
The Non-steady Navier-Stokes System
The Steady Navier-Stokes System with Friction Boundary Conditions
The Non-steady Navier-Stokes System with Friction Boundary Conditions
The Steady Boussinesq System
The Non-steady Boussinesq System
The Steady Equations for Heat-conducting Fluids
The Non-steady Equations for Heat-conducting Fluids.