Advances in Mathematical Fluid Mechanics

Equations of Motion for Incompressible Viscous Fluids

With Mixed Boundary Conditions

Authors: Kim, Tujin, Cao, Daomin

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  • Presents a variety of boundary conditions for fluids while taking into special account the properties of boundaries of vector fields on domains
  • Highlights how fluid equations at the cutting edge of research were developed and how certain boundary conditions apply to various real-world problems
  • Adopts a self-contained approach that covers introductory topics as well as more advanced material, such as friction conditions and a thorough outline of the Navier-Stokes equations
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  • ISBN 978-3-030-78659-5
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  • Due: October 11, 2021
  • ISBN 978-3-030-78658-8
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About this book

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.

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-3-030-78659-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: October 11, 2021
  • ISBN 978-3-030-78658-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
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Bibliographic Information

Bibliographic Information
Book Title
Equations of Motion for Incompressible Viscous Fluids
Book Subtitle
With Mixed Boundary Conditions
Authors
Series Title
Advances in Mathematical Fluid Mechanics
Copyright
2021
Publisher
Birkhäuser Basel
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-78659-5
DOI
10.1007/978-3-030-78659-5
Hardcover ISBN
978-3-030-78658-8
Series ISSN
2297-0320
Edition Number
1
Number of Pages
XIII, 364
Number of Illustrations
1 b/w illustrations
Topics