Optimal feedback control in the problem of the motion of a viscoelastic fluid

Valeri Obukhovskiĭ, Pietro Zecca, Victor G. Zvyagin

DOI: http://dx.doi.org/10.12775/TMNA.2004.014

Abstract


We study an optimization problem for the feedback control system emerging
as a regularized model for the motion of a viscoelastic fluid subject
to the Jeffris-Oldroyd rheological relation. The approach includes systems
governed by the classical Navier-Stokes equation as a particular case.
Using the topological degree theory for condensing multimaps we prove
the solvability of the approximating problem and demonstrate the convergence
of approximate solutions to a solution of a regularized one. At last we show
the existence of a solution minimizing a given convex, lower semicontinuous
functional.

Keywords


Optimal control; feedback control; viscoelastic fluid; Navier-Stokes equation; Jeffris-Oldroyd rheological relation; topological degree; condensing multivalued map

Full Text:

FULL TEXT

Refbacks

  • There are currently no refbacks.

Partnerzy platformy czasopism