Répertoire du corps professoral

Publications des 5 dernières années

A stochastic porous media Schrödinger equation: Feynman-type motivation, well-posedness and control interpretation Journal of Evolution Equations, 2025/03. Ioana Ciotir, Dan Goreac, Juan Li, Xinru Zhang. DOI 10.1007/s00028-024-01032-y

The stochastic fast logarithmic equation in Rd with multiplicative Stratonovich noise Journal of Mathematical Analysis and Applications, 2025/02. Ioana Ciotir, Reika Fukuizumi, Dan Goreac. DOI 10.1016/j.jmaa.2024.128786

Return-to-Normality in a Piecewise Deterministic Markov SIR+V Model with Pharmaceutical and Non-pharmaceutical Interventions Applied Mathematics and Optimization, 2024. Goreac, D., Li, J., Wang, Y., Wang, Z.. DOI 10.1007/s00245-023-10087-1

Optimality conditions for $\mathbb {L}^p$ problems with reflected dynamics Banach Center Publications, 2024. Dan Goreac, Juan Li, Oana-Silvia Serea, Pangbo Wang. DOI 10.4064/bc127-4

Linearisation techniques and the dual algorithm for a class of mixed singular/continuous control problems in reinsurance. Part II: Numerical aspects Applied Mathematics and Computation, 2024. Goreac, D., Li, J., Wang, P., Xu, B.. DOI 10.1016/j.amc.2024.128655

Infinite Horizon Optimal Control of a SIR Epidemic Under an ICU Constraint Journal of Convex Analysis, 2024. Freddi, L., Goreac, D..

Improved regularity for the stochastic fast diffusion equation Electronic Communications in Probability, 2024. Ciotir, I., Goreac, D., Tölle, J.M.. DOI 10.1214/24-ECP575

$\mathbb {L}^{\infty }$/$\mathbb {L}^{1}$ duality results in optimal control problems IEEE Transactions on Automatic Control, 2024. Dan Goreac, Alain Rapaport. DOI 10.1109/tac.2024.3386097

State-constrained porous media control systems with application to stabilization Journal of Evolution Equations, 2023. Ciotir, I., Goreac, D., Munteanu, I.. DOI 10.1007/s00028-023-00874-2

On the Design Techniques for Safety Zones In Brownian-Driven Epidemic Models IFAC-PapersOnLine, 2023. Goreac, D., Li, J., Wang, Y.. DOI 10.1016/j.ifacol.2023.10.1723

On state-constrained porous-media systems with gradient-type multiplicative noise Asian Journal of Control, 2023. Ciotir, I., Goreac, D., Munteanu, I.. DOI 10.1002/asjc.3013

ON THE NEAR-VIABILITY PROPERTY OF CONTROLLED MEAN-FIELD FLOWS Numerical Algebra, Control and Optimization, 2023. Buckdahn, R., Goreac, D., Li, J.. DOI 10.3934/naco.2023004

Controlled Compartmental Models with Time-Varying Population: Normalization, Viability and Comparison Journal of Optimization Theory and Applications, 2023. Avram, F., Freddi, L., Goreac, D., Li, J., Li, J.. DOI 10.1007/s10957-023-02274-5

An Age of Infection Kernel, an R Formula, and Further Results for Arino–Brauer A, B Matrix Epidemic Models with Varying Populations, Waning Immunity, and Disease and Vaccination Fatalities Mathematics, 2023. Avram, F., Adenane, R., Basnarkov, L., Bianchin, G., Goreac, D., Halanay, A.. DOI 10.3390/math11061307

SIR Epidemics with State-Dependent Costs and ICU Constraints: A Hamilton–Jacobi Verification Argument and Dual LP Algorithms Applied Mathematics and Optimization, 2022. Freddi, L., Goreac, D., Li, J., Xu, B.. DOI 10.1007/s00245-022-09884-x

Optimizing Dividends and Capital Injections Limited by Bankruptcy, and Practical Approximations for the Cramér-Lundberg Process Methodology and Computing in Applied Probability, 2022. Avram, F., Goreac, D., Adenane, R., Solon, U.. DOI 10.1007/s11009-021-09916-z

Optimal control of a SIR epidemic with ICU constraints and target objectives Applied Mathematics and Computation, 2022. Avram, F., Freddi, L., Goreac, D.. DOI 10.1016/j.amc.2021.126816

Linearisation Techniques and the Dual Algorithm for a Class of Mixed Singular/Continuous Control Problems in Reinsurance. Part I: Theoretical Aspects: Linearisation and Dual Algorithm for Mixed Control Problems in Reinsurance Applied Mathematics and Computation, 2022. GOREAC, D., LI, J., XU, B.. DOI 10.1016/j.amc.2022.127321

Corrigendum to “Optimal control of a SIR epidemic with ICU constraints and target objectives” (Applied Mathematics and Computation (2022) 418, (S0096300321008997), (10.1016/j.amc.2021.126816)) Applied Mathematics and Computation, 2022. Avram, F., Freddi, L., Goreac, D.. DOI 10.1016/j.amc.2022.127012

A Stochastic Jump Model for Epidemics with Demography, and Confinement and Vaccination Controls: Safety Zones and Algorithms ASCC 2022 - 2022 13th Asian Control Conference, Proceedings, 2022. Goreac, D., Li, J., Xu, B.. DOI 10.23919/ASCC56756.2022.9828120

Reflected dynamics: Viscosity analysis for L^∞ cost, relaxation and abstract dynamic programming Journal of Differential Equations, 2021. Goreac, D., Hechaichi, H., Serea, O.-S.. DOI 10.1016/j.jde.2021.04.024

Improved stability for linear SPDEs using mixed boundary/internal controls Systems and Control Letters, 2021. Goreac, D., Munteanu, I.. DOI 10.1016/j.sysconle.2021.105024

Equity cost induced dichotomy for optimal dividends with capital injections in the cramér-lundberg model Mathematics, 2021. Avram, F., Goreac, D., Li, J., Wu, X.. DOI 10.3390/math9090931

Do generalized draw-down times lead to better dividends? A Pontryagin principle-based answer IMA Journal of Mathematical Control and Information, 2021. Avram, F., Goreac, D.. DOI 10.1093/imamci/dnaa036

The løkka–zervos alternative for a cramér–lundberg process with exponential jumps Risks, 2019. Avram, F., Goreac, D., Renaud, J.-F.. DOI 10.3390/risks7040120

Border avoidance: Necessary regularity for coefficients and viscosity approach SIAM Journal on Control and Optimization, 2019. Goreac, D.. DOI 10.1137/18M1220108

Approximately reachable directions for piecewise linear switched systems Mathematics of Control, Signals, and Systems, 2019. Goreac, D.. DOI 10.1007/s00498-019-0240-x

A pontryaghin maximum principle approach for the optimization of dividends/consumption of spectrally negative markov processes, until a generalized draw-down time Scandinavian Actuarial Journal, 2019. Avram, F., Goreac, D.. DOI 10.1080/03461238.2019.1622592