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This set of six papers, written by eminent experts in the field, is concerned with that part of fluid mechanics that seeks its foundation in the rigorous mathematical treatment of the Navier-Stokes equations. In particular, an overview is given on state of research regarding the global existence of smooth solutions, for which uniqueness and continuous dependence on the data can be proven. Then, the book moves on to a discussion of recent developments of the finite element Galerkin method, with an emphasis on a priori and a posteriori error estimation and adaptive mesh refinement. A further article elaborates on spectral Galerkin methods and their extension to domains with complicated geometries by employing the techniques of domain decomposition. The rigorous explanation of bifurcation phenomena in fluids has long been a central topic in the theory of Navier-Stokes equations. Here, bifurcation theory is introduced in a general setting that is particularly convenient for application to such problems. Finally, the extension of Navier-Stokes theory to compressible viscous flows, studied in two more papers, opens up a fascinating panorama of theoretical and numerical problems. While some of the contributions are expository, others primarily present new results within a wider context and fuller exposition than is usual for research papers. The book is meant to introduce researchers and advanced students to the research level on some of the most important topics of the field.
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Previews available in: English
Showing 6 featured editions. View all 6 editions?
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1
Fundamental Directions in Mathematical Fluid Mechanics
2012, Springer Basel AG
in English
3034895615 9783034895613
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2
Fundamental Directions in Mathematical Fluid Mechanics
2012, Birkhauser Verlag
in English
3034884249 9783034884242
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3
Fundamental Directions in Mathematical Fluid Mechanics (Advances in Mathematical Fluid Mechanics)
June 23, 2003, Birkhäuser Basel
Hardcover
in English
- 1 edition
3764364149 9783764364144
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4
Fundamental Directions in Mathematical Fluid Mechanics
2000, Island Press
in English
3034884257 9783034884259
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5
Six Lectures in Mathematical Fluid Mechanics (Advances in Mathematical Fluid Mechanics)
August 2000, Birkhauser
Hardcover
0817664149 9780817664145
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6
Fundamental directions in mathematical fluid mechanics
2000, Birkhäuser Verlag, Birkhäuser
in English
3764364149 9783764364144
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Book Details
First Sentence
"The equations of motion of an incompressible, Newtonian fluid - usually called Navier-Stokes equations - have been written almost one hundred eighty years ago."
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- Created April 30, 2008
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July 31, 2019 | Edited by MARC Bot | associate edition with work OL19851714W |
April 24, 2010 | Edited by Open Library Bot | Fixed duplicate goodreads IDs. |
April 16, 2010 | Edited by bgimpertBot | Added goodreads ID. |
April 14, 2010 | Edited by Open Library Bot | Linked existing covers to the edition. |
April 30, 2008 | Created by an anonymous user | Imported from amazon.com record |