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- Constantin P. Niculescu, Ionel Roventa
- Appl. Math. Lett.
- 2009

Fan’s minimax inequality is extended to the context of metric spaces with global nonpositive curvature. As a consequence, a much more general result on the existence of a Nash equilibrium is obtained. © 2009 Elsevier Ltd. All rights reserved.

The fact that the time optimal controls for parabolic equations have the bang–bang property has been recently proved for controls distributed inside the considered domain (interior control). The main result in this article asserts that the boundary controls for the heat equation have the same property, at least in rectangular domains. This result is proved… (More)

- Daniela Danciu, Andaluzia Cristina Matei, Sorin Daniel Micu, Ionel Roventa
- 2014 11th International Conference on Informatics…
- 2014

In this paper we consider a vibrational percussion system described by a one-dimensional hyperbolic partial differential equation with boundary dissipation at one extremity and a normal compliance contact condition at the other extremity. Firstly, we obtain the mathematical model using the Calculus of variations and we prove the existence of weak solutions.… (More)

- Ioan Florin Bugariu, Sorin Micu, Ionel Roventa
- Math. Comput.
- 2016

We consider a finite difference semi-discrete scheme for the approximation of the boundary controls of a 1-D equation modelling the transversal vibrations of a hinged beam. It is known that, due to the high frequency numerical spurious oscillations, the uniform (with respect to the mesh-size) controllability property of the semi-discrete model fails in the… (More)

- Ioan Florin Bugariu, Ionel Roventa
- J. Optimization Theory and Applications
- 2014

This article considers the linear 1-d Schrödinger equation in (0, π) perturbed by a vanishing viscosity term depending on a small parameter ε > 0. We study the boundary controllability properties of this perturbed equation and the behavior of its boundary controls vε as ε goes to zero. It is shown that, for any time T sufficiently large but independent of ε… (More)

Constantin P. Niculescu and Ionel Rovenţa Department of Mathematics, University of Craiova, 200585 Craiova, Romania Correspondence should be addressed to Ionel Rovenţa, roventaionel@yahoo.com Received 8 April 2010; Accepted 21 June 2010 Academic Editor: Yong Zhou Copyright q 2010 C. P. Niculescu and I. Rovenţa. This is an open access article distributed… (More)

In this paper we study, from a control theoretic view point, a 1D model of fluid-particle interaction. More precisely, we consider a point mass moving in a pipe filled with a fluid. The fluid is modelled by the viscous Burgers equation whereas the point mass obeys Newton’s second law. The control variable is a force acting on the mass point. The main result… (More)

- Nicolae Cîndea, Sorin Micu, Ionel Roventa
- SIAM J. Control and Optimization
- 2017