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The Navier-Stokes Equations - An Elementary Functional Analytic Approach (Hardcover)
Loot Price: R3,956
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The Navier-Stokes Equations - An Elementary Functional Analytic Approach (Hardcover)
Series: Birkhauser Advanced Texts / Basler Lehrbucher
Expected to ship within 10 - 15 working days
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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.
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