The Navier-Stokes Equations by Hermann Sohr
The primary objective of this monograph is to develop an elementary and self contained approach to the mathematical theory of a viscous incompressible fluid in a domain 0 of the Euclidean space ]Rn, described by the equations of Navier Stokes. The book is mainly directed to students familiar with basic functional analytic tools in Hilbert and Banach spaces. However, for readers' convenience, in the first two chapters we collect without proof some fundamental properties of Sobolev spaces, distributions, operators, etc. Another important objective is to formulate the theory for a completely general domain O. In particular, the theory applies to arbitrary unbounded, non-smooth domains. For this reason, in the nonlinear case, we have to restrict ourselves to space dimensions n = 2,3 that are also most significant from the physical point of view. For mathematical generality, we will develop the lin earized theory for all n 2 2. Although the functional-analytic approach developed here is, in principle, known to specialists, its systematic treatment is not available, and even the diverse aspects available are spread out in the literature. However, the literature is very wide, and I did not even try to include a full list of related papers, also because this could be confusing for the student. In this regard, I would like to apologize for not quoting all the works that, directly or indirectly, have inspired this monograph.-
Algebra
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Research Topics in Analysis, Volume I
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Excursions in Multiplicative Number Theory
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Configurations from a Graphical Viewpoint
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Methods of Nonlinear Analysis
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Introduction to the Qualitative Theory of Differential Systems
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Differential Equations on Measures and Functional Spaces
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Unique Continuation Properties for Partial Differential Equations
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Selected Topics in Mathematical Analysis
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Matrizen, Geometrie, Lineare Algebra
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Playing Around Resonance
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Superlinear Parabolic Problems
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Integration and Modern Analysis
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Holomorphic Curves and Global Questions in Contact Geometry
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Symplectic Invariants and Hamiltonian Dynamics
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A Guide to Spectral Theory
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Observation and Control for Operator Semigroups
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Real Analysis
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Elements of Nonlinear Analysis
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Integration - A Functional Approach
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The Geometry of Domains in Space
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ℓ Goes to Plus Infinity
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Mechanik 2
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Mechanik 1
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Topics in Hardy Classes and Univalent Functions
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Elliptic Equations: An Introductory Course
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Geometric Multivector Analysis
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A Primer of Real Analytic Functions
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Elements of Noncommutative Geometry
"The book is written in a well-arranged way, easy to survey and with utilization of the newest results.it is [written] for an extensive circle of readers, from students to experts…and specialists in the field."
--Zentralblatt Math
Hermann Sohr is professor of mathematics, especially mathematical fluid mechanics, at the University Paderborn, Germany.
| SKU | Unavailable |
| ISBN 13 | 9783034894937 |
| ISBN 10 | 3034894937 |
| Title | The Navier-Stokes Equations |
| Author | Hermann Sohr |
| Series | Birkhauser Advanced Texts Basler Lehrbucher |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer Basel |
| Year published | 2014-08-23 |
| Number of pages | 367 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |