Institut de Mathématiques de Toulouse
Research team : Mathématiques pour l'Industrie et la Physique.
Mathematical modelling, numerical analysis of partial differential equations and nonlinear ordinary differential equation, scientific computing
Optimization, optimal control
Dynamic systems, epidemiology, biology, crystallization
Probability, stochastics
[T]
A. Rachah,
Mathematical modelling, simulation and control of crystallization process. Institut de Mathématiques de Toulouse & collaboration with laboratory RAPSODEE, École des Mines Albi, France.
[A1] A. Rachah, D. F. M. Torres, Predicting and controlling the Ebola infection, Mathematical Methods in the Applied Sciences DOI : 10.1002/mma.3841, février 2016.
[A2] A. Rachah, D. Noll, F. Espitalier, F. Baillon, Mathematical modelling for solvated crystallization, IMA Journal of Applied Mathematics accepté, février 2016.
[A3] A. Rachah, D. F. M. Torres, Optimal control strategies for the spread of Ebola in West Africa, Journal of Mathematical Analysis volume 7, No. 1, pp. 102–114, 2016.
[A4] A. Rachah, D. F. M. Torres, Mathematical Modelling, Simulation and Optimal Control of the 2014 Ebola Outbreak in West Africa, Discrete Dynamics in Nature and Society (DDNS) (2015), Art. ID 842792.
[A5] A. Rachah, D. Noll, F. Espitalier, F. Baillon, A mathematical model for continuous crystallization, Mathematical Methods in the Applied Sciences (MMAS), DOI: 10.1002/mma.3553. 24 june 2015.
[A6] A. Rachah, D. Noll, F. Espitalier, F. Baillon, Control of solvated crystallization of alpha-lactose monohydrate, International Journal of Mathematical Modelling and Numerical Optimization (IJMMNO) Vol. 6, No. 2, pp. 159--183, 2015.
[A7] A. Rachah, D. F. M. Torres, Dynamics and optimal control of Ebola transmission, Mathematics in Computer Science accepted, 2016.
[S1] A. Rachah, D. F. M. Torres, Optimal control on the early detection of Ebol Virus Through a SIR model with vital dynamics.
[S2] A. Rachah, D. F. M. Torres, Analysis, simulation and optimal control of a SEIR model for Ebola virus with demographic effects.
[P1] A. Rachah, D. F. M. Torres, Optimal isolation control in curtaling Ebola virus.
[P1] A. Rachah, D. Noll, Mathematical analysis of a continuous crystallization process, Advances in Applied Mathematics and Approximation Theory, Contributions from AMAT, Springer, 279-296, 2015.
[P2] A. Rachah, D. Noll, Modeling and control of a semi-batch cooling seeded crystallizer. IEEE Xplore, ODI 10.1109/ICMSAO.2015.7152213, pp.104-109, ICMSAO15, International Conference on Modeling, Simulation, and Applied Optimization, 2015.
[P3] A. Rachah, D. F. M. Torres, Modelling and numerical simulation of the recent outbreak of Ebola. Proceeding of the 2nd International Conference on Numerical and Symbolic Computation: Developments and Applications (SYMCOMP), pp. 179-190. ISBN 978-989-96264-7-8, 2015.
[P4] A. Rachah, F. Baillon, F. Espitalier, D. Noll, Mathematical modeling and control of crystallization process. Proceeding of the International Symposium on Industrial Crystallization ISIC19, pp. 599-604, 2014.
[P5] A. Rachah, D. Noll, F. Baillon, F. Espitalier, Optimal Control of crystallization of alpha-lactose monohydrate. IEEE Xplore, ISBN 978-1-4673-5767-8, pp. 704-709, 9th Asian Control Conference (ASCC), 2013.
[P6] A. Rachah, F. Baillon, F. Espitalier, D. Noll, Controle de la cristallisation du alpha-lactose monohydraté. Cristal7, Colloque de cristallisation et de précipitation industrielles, 2013.
[C1] A. Rachah, Population balance model-based optimal control of crystallization processes, Seminar, Department of Mathematical Sciences and Technology, Norwegian University of Life Sciences (NMBU), Norway, november 20 2015.
[C2] A. Rachah, Modelling, simulation and control of the transmission dynamics of Ebola Virus, Seminar, Department of Production Animal Clinical Sciences - Population Medicine, Norwegian University of Life Sciences (NMBU), Norway, november 19 2015.
[C3] A. Rachah, Mathematical analysis and control of solvated crystallization, CEMRACS15: Coupling Multi-Physics Models involving Fluids, Marseille (France), August 10, 2015.
[C4] A. Rachah, Control of seeded semi-batch crystallization processes, BFG 2015: 17th British-French-German Conference on Optimization, London (United Kingdom), June 15-17, 2015.
[C5] A. Rachah, Analysis and Simulation of a Continuous Crystallization Process, AMAT 2015: 3rd International Conference on Applied Mathematics & Approximation Theory, Ankara (Turkey), May 28-31, 2015.
[C6] A. Rachah, Modeling and Control of a Semi-Batch Cooling Seeded Crystallizer, ICMSAO15: 6th International Conference on modelling, simulation, and applied optmization, Istunbul (Turkey), May 27-29, 2015.
[C7] A. Rachah, Modelling and numerical simulation of the recent outbreak of Ebola, SYMCOMP: 2nd International Conference on Numerical and Symbolic Computation, Developments and Applications, Faro (Portugal), March 26-27, 2015.
[C8] A. Rachah, Modelling and control of seeded semi-batch crystallizers, International Conference on Advances in Applied Mathematics, Hammamet (Tunisia), December 22-25, 2014.
[C9] A. Rachah, Global existence and uniqueness of the solution of a semi-batch crystallization model, International Conference on Advances in Applied Mathematics, Hammamet (Tunisia), December 22-25, 2014.
[C10] A. Rachah, Mathematical modelling and optimal control of seeded crystallization process, Seminar Systems and Control Group - CIDMA, Departamento de Matematica, Universidade de Aveiro, Aveiro (Portugal).
[C11] A. Rachah, Mathematical modelling and control of crystallization process, International Symposium on Industrial Crystallization ISIC19, France 16-19 September, 2014.
[C12] A. Rachah, Modelling and optimal control of solvated crystallization, International Conference on Advances in Applied Mathematics, Hammamet (Tunisia), December 16-19, 2013.
[C13] A. Rachah, Existence and uniqueness of solution of continuous crystal model, International Conference on Advances in Applied Mathematics, Hammamet (Tunisia), December 16-19, 2013.
[C14] A. Rachah, Optimal control of semi-batch solvated crystallization, Oberseminar des Instituts fur Mathematische Optimierung, Universitat Magdeburg, Magdeburg (Germany), November 2013.
[C15] A. Rachah, Optimal control of crystallization of alpha-lactose monohydrate, 16th French-German-Polish conference on Optimization, Krakow, Poland, September 23-27, 2013.
[C16] A. Rachah, Controle de la cristallisation du alpha-lactose monohydraté, Cristal 7 (Colloque de cristallisation et de précipitation industrielles), Toulouse (France), 16--17 Mai 2013.
[C17] A. Rachah, Mathematic modelling and optimization of crystallization processes, AFG11 Austrian-French-German conference on optimization, Toulouse (France), September 19-23, 2011.
[C1] Work with D. F. M. Torres, Modelling, simulation and optimal control strategies for the spread of Ebola, Universidade de Aveiro, Portugal, November 2014.
[C2] Work with LACTALIS group and RAPSODEE, Modelling and optimal control of crystallization of alpha lactose monohydrate, 2010-2014.
[C3] Work with S. Rohani, Modelling and optimal control of crystallization process, Control and Crystallization of Pharmaceuticals Laboratory, Department of Chemical and Biochemical Engineering, Western Ontario University, Canada , February-May 2012.
[E1] Summer school CEMRACS 2015 (Centre d'Eté de Mathématiques et Recherche Avancée en Calcul Scientifique). Topic: Coupling Multi-Physics Models involving Fluids. Project: MiMoDyMuBa: A mixture model for the dynamic of mucosal barrier (INRIA, INRA). Centre International de Recherche de Mathématiques, Marseille, France, 20 July-28 August 2015.
[E2] Modélisation, Analyse et Commande des systems dynamiques, École des Journées Doctorales MACS, Polytech Marseille, Marseille (France), 6-8 Juin 2011.
[E3] Optimization of Dynamic Processes, Mathematics and Statistics Faculty of the Technical University of Catalonia (UPC), Barcelone (Espagne), 26-29 Avril 2011.
[V1] Maison des Jeunes et de la Culture (MJC).
[V2] Association de la Fondation Étudiante pour la Ville (AFEV).
Department Mechanical and Production Engineering (GMP)
[1] Mathematics Specialization "Mechanical and Production Engineering" (first year). [2] Mathematics Specialization "Mechanical and Production Engineering" (second year).Department Mathematical and Modeling Engineering (GMM)
[1] Analysis and computer science Specialization "Chemical, biochemical and environmental engineering (ICBE)" . [2] Numerical analysis Specialization "Construction engineering (IC)" .[CV] Curriculum Vitae Amira Rachah