direkt zum Inhalt springen

direkt zum Hauptnavigationsmenü

Sie sind hier

TU Berlin

Inhalt des Dokuments

Preprint 10-2004

Regularity of the adjoint state for the instationary Navier-Stokes equations

Source file is available as :   Portable Document Format (PDF)

Author(s) : Arnd Rösch , Daniel Wachsmuth

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 10-2004

MSC 2000

46E40 Spaces of vector- and operator-valued functions
49N60 Regularity of solutions

Abstract :
In this article, we are considering imbeddings of abstract functions in spaces of functions being continuous in time. A family of functions depending on certain parameters is discussed in detail. In particular, this example shows that such functions do not belong to the space $C([0,T],H)$. In the second part, we investigate an optimal control problem for the instationary Navier-Stokes equation. We will answer the question, in which sense the initial value problem for the adjoint equation can be solved.

Keywords : Vector-valued functions, imbeddings, optimal control, Navier-Stokes equations, regularity of adjoints

Zusatzinformationen / Extras


Schnellnavigation zur Seite über Nummerneingabe