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

Sohr, Hermann

ISBN 10: 3034805500 / ISBN 13: 9783034805506

Verlag: Birkhäuser, 2012

In. Bestandsnummer des Verkäufers ria9783034805506_new

Inhaltsangabe:

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.

Über die Autorin bzw. den Autor: Hermann Sohr is professor of mathematics, especially mathematical fluid mechanics, at the University Paderborn, Germany.

Bibliografische Details

Titel: The Navier-Stokes Equations: An Elementary ...
Verlag: Birkhäuser
Erscheinungsdatum: 2012
Einband: Softcover
Zustand: New