Oana Silvia SEREA

Academic career

09/2011-03/2012 Researcher at Pierre et Marie Curie - Paris 6 University (délégation CNRS )
09/2010-03/2011 Researcher at Pierre et Marie Curie - Paris 6 University (délégation CNRS )
12/2010 Habilitation (HDR) at Paris 6 University
Title of the thesis: Control problems and differential games with and without reflection
2009-2010 Researcher at the Center of Applied Mathematics (CMAP & INRIA) of the Ecole Polytechnique, Palaiseau, INRIA Saclay Ile-de-France (détachement INRIA (01/2009-01/2010) et délégation INRIA (01/2010-09/2010) )
2005 Young author's prize at 11th IEEE International Conference on Methods and Models in Automation and Robotics, Miedzyzdroje, Poland
2004-2005 Humboldt research fellowship
Collaboration with Prof. H. Hering, several short stays at the Institut für Mathematische Stochastik, Georg-August Universität Göttingen, Germany
2004 Two-year DFG (German Research Foundation) research fellowship (declined)
Since 2004 Associate Professor (Maître de Conferences), University of Perpignan, France
2000-2004 Teaching assistant (Allocataire Monitrice, ATER), University of Brest, France
2000-2002 Ph.D. in Mathematics, University of Brest, France in collaboration with Al. I. Cuza University of Iasi, Romania
Title of the thesis: Reflected Control Problems and Differential Games with supremum cost
Defended in 12/2002 at the University of Brest
Advisors: Prof. M. Quincampoix, Prof. T. Precupanu

Work in progress

Approximation schemes for Hamilton Jacobi Inequalities
On Controlled Piecewise Deterministic Markov Processes (differential game case) (with D. Goreac)
Hamilton-Jacobi theory for reflected optimal control problems (with P. R. Wolenski and H. Zidani)
Control problems on networks (with O. Ley)
Control problems for differential variational inequalities (with S. Adly)
Optimality conditions for reflecting boundary stochastic control problems (with D. Goreac)

Characterization of the optimal trajectories for the averaged dynamics associated to singularly perturbed stochastic control systems (with D.Goreac)

Discretization methods for differential inclusions

Systems with impulsive controls (applications to e. g. sequential batch rectors used in waste -water treatment) (with T. Bayen and A Rappaport)

Submitted papers

An Abel-type result for controlled piecewise deterministic Markov processes (with D. Goreac)

Uniform Asymptotics in the Average Continuous Control of Piecewise Deterministic Markov Processes: Vanishing Approach (with D. Goreac)

Peer-reviewed publications

Computation of viability kernels: a case study of by-catch fisheries (with J. Krawczyk, A. Pharo and S. Sinclair)
Computational Management Science, to appear
Characterization of the optimal trajectories for the averaged dynamics associated to singularly perturbed control systems
Journal of Differential Equations, to appear
Sensitivity analysis for relaxed optimal control problems with final-state constraints (with F. Bonnans and L. Pfeiffer)
Nonlinear Analysis Series A: Theory, Methods & Applications, to appear
Min-max control problems via occupational measures (with D. Goreac)
Optimal Control, Applications and Methods, to appear
LP Approach to Dynamic Programming Principles for Stochastic Control Problems with State Constraints (with D. Goreac and C. Ivascu)
Nonlinear Analysis Series A: Theory, Methods & Applications, Vol. 77, 59–73, 2013
Optimality conditions for reflecting boundary control problems
Nonlinear Differential Equations and Applications, DOI: 10.1007/s00030-012-0206-x, 2012
Some applications of linear programming formulations in stochastic control (with D. Goreac)
Journal of Optimization Theory and Applications, Vol. 155, Issue 2, 572-593, 2012
Linearization techniques for controlled piecewise deterministic Markov processes; application to Zubov's method (with D. Goreac)
Applied Mathematics and Optimization, Vol. 66, Issue 2, 209-238, 2012
A note on linearization methods and dynamic programming principles for stochastic discontinuous control problems (with D. Goreac)
Electronic Communications in Probability, Vol. 17, 1-12, 2012
When can it be not optimal to adopt a new technology? A viability theory solution to a two-stage optimal control problem of new technology adoption (with J. Krawczyk)
Optimal Control, Applications and Methods, DOI: 10.1002/oca.1030, 2011
Differential games and Zubov’s method (with L. Grüne)
SIAM Journal on Control and Optimization, SIAM Journal on Control and Optimization, Vol. 49, Issue 6, 2349-2277, 2011
Linearization Techniques for Linf-Control Problems and Dynamic Programming Principles in Classical and Linf-Control Problems (with D. Goreac)
ESAIM: Control, Optimisation and Calculus of Variations, Vol. 18, 836-855, 2011
Mayer and Optimal Stopping Stochastic Control Problems With Discontinuous Cost (with D. Goreac)
Journal of Mathematical Analysis and Applications, Vol. 380 (1), 327-342, 2011

Primal-lower-nice property of value functions in optimization and control problems (with L. Thibault)
Set-Valued and Variational Analysis, Vol. 18, Nos. 3-4, 569-600, 2010

Discontinuous control problems for non-convex dynamics and near viability for singularly perturbed control systems (with D. Goreac)
Nonlinear Analysis: Theory, Methods & Applications, Vol. 73, 2699-2713, 2010

The problem of optimal control with reflection studied through a linear optimization problem stated on occupational measures (with M. Quincampoix)
Nonlinear Analysis: Theory, Methods & Applications, Vol. 72, 2803-2815, 2010

Reflected differential games
SIAM Journal on Control and Optimization, Volume 48, Issue 4, 2516-2532, 2009

Hamilton-Jacobi equations related with differential games with supremum cost
Comptes Rendus de l'Académie des sciences, Vol. 344, No. 12, 743-748, 2007

Viscosity solutions for partial differential equations with Neumann type boundary conditions and some aspects of Aubry Mather theory
Journal of Mathematical Analysis and Applications, Vol. 336, No. 1, 664-682, 2007

Semiconcave solutions of partial differential inclusions
Nonlinear Analysis: Theory, Methods & Applications, Vol. 62, 665-673, 2005

Convergence of discontinuous value functions of singularly perturbed control systems with terminal or infimum cost (with F. Watbled)
Differential Equations and Dynamical Systems, Vol. 13, 233-249, 2005

On reflecting boundary problem for optimal control
SIAM Journal on Control and Optimization, Vol. 42, No.2, 559-575, 2003

A viability approach for optimal control with infimum cost (with M. Quincampoix)
Annals of the 'Alexandru Ioan Cuza' University of Iasi, Vol. 48, No. 1, 113-132, 2002

Discontinuous differential games and control systems with supremum cost
Journal of Mathematical Analysis and Applications, Vol. 270, 519-542, 2002

Proceedings

Semiconcave solutions of partial differential inclusions and applications to reflected control problems
Proceedings: 11th IEEE International Conference on Methods and Models in Automation and Robotics, Poland, 77-80, 2005

A note on linearization techniques via occupational measures for deterministic and stochastic control (with D. Goreac)
Equations aux dérivées partielles et leurs applications, Actes du colloque Edp-Normandie. Le Havre 2012 , FNM Fédération Normandie Mathématiques, France, 133-142, 2013

Oana Silvia SEREA

Maître de conférences/Associate Professor

e-mail : oana-silvia.serea@univ-perp.fr

Research interests