| [1] | Bellomo N, Bellouquid A, Global Solution to The Cauchy Problem For Discrete Velocity of Vehicular Traffic, Journal of differential equation, To appear (2012). |
| [2] | Bellouquid A, Calvo J, Nieto J, Soler J, Parabolic asymptotics in kinetic theory towards fluid dynamics models, Journal of differential equation, to appear (2012). |
| [3] | Bellouquid A, Calvo J, Nieto J, Soler J, From Boltzmann--BGK to Euler relativistic systems, SIAM J on Applied Mathematics, to appear (2012). |
| [4] | Bellouquid A, De Angelis E, Fermo L, Towards the Modeling of Vehicular Trafic as a Complex System: A Kinetic Approach, on the 2012-Special Issue on Mathematics and Complexity in Human and Life Sciences, Math. Models Meth. Appl. Sci. and Methods in Applied Sciences, to appear (2012). |
| [5] | Bellomo N, Bellouquid A, On the modeling of crowds dynamics looking at the beautiful shapes of swarms, Networks and heterogeneous media, 6 (3), 383-399 (2011). |
| [6] | Bellouquid A, Delitala M, Asymptotic limits of a discrete kinetic theory model of vehicular traffic, Applied Mathematics Letters. , 24(5), 672-678 (2011). |
| [7] | Bellouquid A, De Angelis, From Kinetic Models of Multicellular Growing Systems to Macroscopic Biological Tissue Models, Nonlinear Analysis: Real World. Applications, 12 (2011), 1111--1122. |
| [8] | Bellouquid A, The strong convergence of BGK model to the incompressible Navier-Stokes limit. Math. Models Meth. Appl. Sci. and Methods in Applied Sciences Vol. 20, No. 8 (2010). |
| [9] | Bellouquid A, Bianca C, Modeling aggregation-fragmentation phenomena by kinetic theory for actives particles Models, Mathematical and Comp. Modelling, 52 (2010) 802-813. |
| [10] | Bellomo N, Bellouquid A, Nieto N, Soler J, Multiscale Derivation of biological Tissues Models For Mixtures of Multicellular Growing Systems : Application to Flux-Limited Chemotaxis, Math. Models Meth. Appl. Sci. Vol. 20, No. 7 (2010) 1-29 |
| [11] | Bellomo N, Bellouquid A, Nieto N, Soler J, Complexity and Mathematical Tools Towards the modelling Multicellular Growing System In Biology, Mathematical and Comp. Modelling, 51, 441-451, (2010). |
| [12] | Bellomo N, Bellouquid A, On the derivation of macroscopic tissue equations from hybrid models of the kinetic theory of multicellular growing systems-The effect of the global equilibrium. Nonlinear Analysis: Hybrid Systems, 3, 215-224 (2009). |
| [13] | Bellouquid A, On the global existence for the Kac Model with some external force, Mathematical and Comp. Modelling, 49, 1531-1538 (2009). |
| [14] | Bellomo N, Bellouquid A, Soler J, On the derivation of hyperbolic macroscopic tissues models from the mathematical kinetic theory for active particles, Mathematical and Comp. Modelling, 49, 2083-2093 (2009). |
| [15] | Bellomo N, Bellouquid A , Delitala M, From the mathematical kinetic theory of actives paricles to multiscalemodelling of Complex Biological Systems, Mathematical and Comp. Modelling, V 47, 687-698, (2008). |
| [16] | Bellomo N, Bellouquid A, Herrero M, From the microscopic to macroscopic description for multicellular systems and biological growing tissues. Computational and Applied Mathematics, Computers and Mathematics with Applications 53, (2007), 647-663. |
| [17] | Bellomo, Bellouquid A, Nieto N, Soler J, Multicellular biological growing systems:Hyperbolic limits towards macroscopic description, Maths. Models. Meth Appl. Sci. (17), 1-18 (2007). |
| [18] | Bellomo N, Bellouquid A, On the onset of nonlinearity for diffusion models of binary mixtures of biological materials by asymptotic analysis, Int. J. Nonlinear Mechanics, 41, (2006), 281--293. |
| [19] | Bellomo N, Bellouquid A, On the derivation of macroscopi equations in the mathematical kinetic theory of actives particles with discrete states. Mathematical and Computer Modelling, 44, 397-404, (2006). |
| [20] | Bellouquid A, On the Asymptotic Analysis of Boltzmann Equation Towards the Stokes Equations. Applied Mathematics Letters, 18, (12), 1400-1407 (2005). |
| [21] | Bellouquid A, Delitala M, On a Mathematical Kinetic Theory toward Modeling Complex Systems in Biology. Math. Models Meth. Appl. Sci., 11 (15), 1-28 (2005). (Highly cited paper in the field of Mathematics, December 2006). http://www.esi-topics.com/fbp/2006/december06-Delitala-Bellouq.html |
| [22] | Bellomo N, Bellouquid A , Delitala M, Mathematical Topics on the modelling of Multicellular Systems in the competition between Tumor and Immune cells. Math. Models Meth. Appl. Sci. 8 (15), 1-51 (2004).(Highly cited paper in the field of Mathematics, May 2006). http://www.esi-topics.com/nhp/2006/may-06-NicolaBellomo.html |
| [23] | Bellouquid A, Delitala M, Kinetic (Cellular) Models of Cell Progression and Competition with Immune System. Z. Agn. Math. Phys (ZAMP), (55), 295-317 (2004). |
| [24] | Bellomo N, Bellouquid A, From a Class of Knetics Models to The Macroscopic Equations for Multicellular Systems in Biology. Discrete and Continuous Dynamical Systems; 4(1), 59-80 (2004). |
| [25] | Bellouquid A, The Linearized Compressible Euler for The Discrete Boltzmann Equation. Electronic Journal Differential Equation, Vol. 2004 (2004). No. 104, 1-18. |
| [26] | Bellouquid A, The Compressible Euler and Acoustic Limit for Kinetic Models. Math.Models Meth. Appl. Sci., 6 (14), 853-882 (2004). |
| [27] | Bellouquid A, Diffusive Limit for the Nonlinear Discrete Velocity Models, Math. Models Meth. Appl. Sci., 1 (13), 33-58 (2003). |
| [28] | Bellouquid A, Global Existence of BGK Model for a Gas With Non Constant Cross Section, Transp. Theory Statist. Phys., 32 (2), 157-184 (2003). |
| [29] | Bellomo N, Bellouquid A, De Angelis E, Lectures Notes, On the Modelling of the Immune Competition by Generalized Kinetic Boltzmann Models, A Review and Research Perspectives. Math. Comp. Modelling, 37 , 65-86 (2003). |
| [30] | Bellouquid A, The Incompressible Navier-Stokes Limit for the Nonlinear Discrete Velocity Kinetic Equations. J. Nonlinear Math. Phys., 9, 426-445 (2002) |
| [31] | Bellouquid A, From Microscopic to Macroscopic: Asymptotic Analysis of The Broadwell Model Toward The Wave equation. Math. Comp. Modelling, 36 , 1169-1181 (2002). |
| [32] | Bellouquid A, The Hydrodynamical Limit of the Non Linear Boltzmann Equation. Transp. Theory Statist. Phys., 28 (1), 25-57 (1999) |
| [33] | Bellouquid A, Existence Globale et Comportement Asymptotique du Problème de Cauchy pour le Modèle de BGK. C. R. Acad. Sci. Paris, t. 321, Série I, p. 1637-1640 (1995). |
| [34] | Bellouquid A, The Hydrodynamical Limit of the Carlemann Equation. C. Acad. Sci. Paris, t.321, Série I, p. 655-658 (1995). |
| [35] | Bellouquid A, Limite Asymptotique pour le Modèle de BGK. C. R. Acad. Sci. Paris, t. 324, Série I, p. 951-956 (1997). |
| [36] | Bellouquid A, Limite Hydrodynamique de Quelques Modèles de la Théorie Cinétique Discrète. C. R. Acad. Sci. Paris, t. 330, Série I, p. 951-956 (2000). |
| [37] | Bellouquid A, Delitala M, On the Kinetic Theory of Complex Biological systems. Modeling and Simulation in Science, Engineering and Technology. Birkhauser-Springer ( 2006). http://www.springer.com/birkhauser/mathematics/book/978-0-8176-4395-9 |
| [38] | Bellomo N, Bellouquid A , Delitala M, Towards a Biological Mathematical Theory of Complex Multicellular Systems-Looking for New Paradigms, in C. CERCIGNANI and E. GABETTA Eds., Transport Phenomena and Kinetic Theory , Birkhauser, Boston, (2007). |
| [39] | Bellouquid A , Delitala M, From the kinetic theory for activ particles to moddelling the immune competition, in N. BELLOMO, M. CHAPLAIN. DE ANGELIS Eds., Birkhauser, Boston (2008). |
| [40] | Bellomo N, Bellouquid A, On the Modelling of Vehicular Traffic and Crowds by the Kinetic Theory of Active Particles, Mathematical Modelling of Collective Behaviour in Socio-Ecomonics and Life Sciences, G. Naldi, L. Pareschi, and G. Toscani, Eds. p. 273-296. Birkhäuser Boston, 2010. |
| [41] | Bellomo N, Bellouquid A, De Angelis E, On the derivation of Biological Tissue Models From Kinetics Models of Multicellular Growing models. B. Albers, Ed., Continuous Media with Microstructure, p. 131-145, Springer Berlin Heidelberg, 2010. |