A Computational Approach to Controllability Issues for Flow-Related Models. (I): Pointwise Control of the Viscous Burgers Equation |
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| Authors: | M. BERGGREN R. GLOWINSKI J. L. LIONS |
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| Affiliation: | 1. FFA, the Aeronautical Research Institute of Sweden , P.O. Box 11021, Bromma, S-161 11, Sweden;2. Department of Mathematics , University of Houston , Houston, TX, 77204-3476;3. Université Pierre et Marie Curie , Paris, France;4. Collège de France, Rue d'Ulm , Paris, 75005, France |
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| Abstract: | ![]()
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. |
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