Name: The Navier-Stokes Equations (en Inglés)
SKU: 62084764
Price: 129.58 USD
Availability: InStock
Author: Hermann Sohr
ISBN: 9783764365455

portada The Navier-Stokes Equations (en Inglés)

Formato

Libro Físico

Editorial

Birkhäuser

Autor

Hermann Sohr

Idioma

Inglés

N° páginas

367

Encuadernación

Tapa Dura

ISBN13

9783764365455

N° edición

2001st

The Navier-Stokes Equations (en Inglés)

Hermann Sohr (Autor) · Birkhäuser · Tapa Dura

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Reseña del libro "The Navier-Stokes Equations (en Inglés)"

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.