Controllability and observabiliy of an artificial advection-diffusion problem

Details Controllability and observabiliy of an artificial advection-diffusion problem Controllability and observabiliy of an artificial advection-diffusion problem

2009-02-27

arxiv.org/abs/0902.4881v5

Mathematics

Optimization and Control

20 pages, accepted for publication in MCSS. DOI: 10.1007/s00498-012-0076-0

Scientific paper

In this paper we study the controllability of an artificial
advection-diffusion system through the boundary. Suitable Carleman estimates
give us the observability on the adjoint system in the one dimensional case. We
also study some basic properties of our problem such as backward uniqueness and
we get an intuitive result on the control cost for vanishing viscosity.

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