Control problems for one-dimensional fluids and reactive fluids with moving interfaces

Abstract : The purpose of this paper is to expose several recent challenging control problems for mono-dimensional fluids or reactive fluids. These problems have in common the existence of a moving interface separating two spatial zones where the dynamics are rather different. All these problems are grounded on topics of engineering interest. The aim of the author is to expose the main control issues, possible solutions and to spur an interest for other future contributors. As will appear, mobile interfaces play key roles in various problems, and truly capture main phenomena at stake in the dynamics of the considered systems.
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Nicolas Petit. Control problems for one-dimensional fluids and reactive fluids with moving interfaces. J. Lévine, P. Müllhaupt. Advances in the Theory of Control, Signals and Systems with Physical Modelling, Springer Verlag, pp.323-337, 2011, Lecture Notes In Control and Information Sciences, ⟨10.1007/978-3-642-16135-3_26⟩. ⟨hal-00528468⟩

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