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Approximate controllability of the Navier-Stokes system in unbounded domains

Journal Article · · Sbornik. Mathematics
 [1]
  1. M.V. Lomonosov Moscow State University, Moscow (Russian Federation)
The question of the approximate controllability for the 2- and the 3-dimensional Navier-Stokes system defined in the exterior of a bounded domain {omega} or in the entire space is studied. It is shown that one can find boundary controls or locally distributed controls (having support in a prescribed bounded domain) defined on the right-hand side of the system such that in prescribed time the solution of the Navier-Stokes system becomes arbitrarily close to an arbitrary prescribed divergence-free vector field.
OSTI ID:
21208359
Journal Information:
Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 11 Vol. 194; ISSN 1064-5616
Country of Publication:
United States
Language:
English