The Navier-Stokes Equations: An Elementary Functional Analytic Approach (Modern Birkhäuser Classics) - Image 1

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Birkhauser The Navier-Stokes Equations: An Elementary Functional Analytic Approach (Modern Birkhäuser Classics)

Name: The Navier-Stokes Equations: An Elementary Functional Analytic Approach (Modern Birkhauser Classics)
Brand: Birkhauser
Price: 79.99 GBP
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Description

The primary objective of this monograph is to develop an elementary and se- containedapproachtothemathematicaltheoryofaviscousincompressible?uid n in a domain ? of the Euclidean spaceR , 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 ?rst 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 ?. 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 signi?cant from the physical point of view. For mathematical generality, we will develop the l- earized theory for all n? 2. Although the functional-analytic approach developed here is, in principle, known to specialists, its systematic treatment is not available, and even the diverseaspectsavailablearespreadoutintheliterature.However,theliterature 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.

Product Specifications

Brand: Birkhauser
Format: Paperback
ASIN: 3034805500
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Differential Equations
Domain: Amazon UK
Release Date: 14 December 2012
Listed Since: 07 September 2012

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Birkhauser The Navier-Stokes Equations: An Elementary Functional Analytic Approach (Modern Birkhäuser Classics)

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