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A computational approach to controllability issues for flow-related models. I: Pointwise control of the viscous Burgers equation. (English) Zbl 0894.76056

Summary: We discuss the numerical solution of some controllability problems for time-dependent flow models. The emphasis is on algorithmic aspects, discretization issues, and memory-saving devices. In the first part of the article, we investigate the controllability of the viscous Burgers equation. In part two, we shall discuss the boundary controllability of a linear advection-diffusion equation and then the distributed controllability of the unsteady Stokes equations.

MSC:

76M25 Other numerical methods (fluid mechanics) (MSC2010)
93C20 Control/observation systems governed by partial differential equations
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