probability density function methods for turbulent reacting ows, Prog. Energy Combust. Sci., 36 (2010) 168-259. [6] A.Y. Klimenko, R.W. Bilger, Conditional moment closure for turbulent combustion, Progr. Energ. Combust. Sci. 25 (1999) 595{687 [7] N. Suciu, F.A. Radu, S. Attinger, L. Schüler, Knabner, A Fokker-Planck approach for probability distributions of species concentrations transported in heterogeneous media, J. Comput. Appl. Math. (2014), in press (doi: 10.1016/j.cam.2015.01.030). [8] D.W. Meyer, P. Jenny, H.A. Tchelepi

### Boulaid Boulkroune, Issam Djemili, Abdel Aitouche and Vincent Cocquempot

References Albrecht, A., Chauvin, J., Lafossas, F., Potteau, S. and Corde, G. (2006). Development of highly premixed combustion diesel model: From simulation to control design, SAE 2006 World Congress & Exhibition, Detroit, MI, USA . CARB (1993). California’s OBD-II Regulation (Section 1968.1 Title 13, California Code of Regulations), Resolution 93-40, July 9, pp. 220.7-220.12(h). Ceccarelli, R., Canudas-de Wit, C., Moulin, P. and Sciarretta, A. (2009). Model-based adaptive observers for intake leakage

### Olena Kuzmych, Abdel Aitouche, Ahmed El Hajjaji and Jerome Bosche

References Abidi, I., Bosche, J., Hajjaji, A.E. and Aguilera-Gonzales, A. (2013). Fuzzy robust tracking control with pole placement for a turbocharged diesel engine, Proceedings of the 21st Mediterranean Conference on Control and Automation (MED’13), Crete, Greece. Adi, G., Hall, C., Snyder, D., Bunce, M., Satkoski, C., Kumar, S., Garimella, P., Stanton, D. and Shaver, G. (2009). Soy-biodiesel impact on nox emissions and fuel economy for diffusion-dominated combustion in a turbo-diesel engine incorporating exhaust gas

### Bjőrn Baran, Peter Benner, Jan Heiland and Jens Saak

-balanced truncation low-order controller for stabilization of laminar ows. In R. King, editor, Active Flow and Combustion Control 2014, volume 127 of Notes on Numerical Fluid Mechanics and Multidisciplinary Design, pages 365379. Springer International Publishing, 2015. [7] M. Bernauer. Motion Planning for the Two-Phase Stefan Problem in Level Set Formulation. PhD thesis, Technische Universität Chemmitz, Chemnitz, Germany, 2010. [8] R. Glowinski. Finite element methods for the numerical simulation of incompressible viscous ow. Introduction to the

### Silvio Simani

, Englewood Cliffs, NJ. Marusak, P.M. and Tatjewski, P. (2008). Actuator fault tolerance in control systems with predictive constrained set-point optimizers, International Journal of Applied Mathematics and Computer Science 18 (4): 539-551, DOI: 10.2478/v10006-008-0047-2. Pulkrabek, W.W. (2003). Engineering Fundamentals of the Internal Combustion Engine , 2nd Edn., Prentice Hall, Richmond, TX. Rovatti, R. (1996). Takagi-Sugeno models as approximators in Sobolev norms: The SISO case, 5th IEEE International Conference on

### V.A. Leonov, A.V. Bagrov, G.F. Attia, A.M. Abdelaziz and R. Ghoneim

-debris observed by control services of the near-earth space. Shock interactions are modeled for velocity impactor and target up to 3 km/sec [ 6 ]. Small-sized part of the space debris is not registered for any optical or radar observation equipment. However, the results of some of our researches [ 7 ] allow to claim that combustion of space debris is also observed, as well as the usual meteor phenomena. This is due to the fact that, naturally occurring meteoroid in Pre-atmospheric solar system has a speed of 11.2 km/sec, and the space debris have a speed less than 11.2 km

### Alok Dhaundiyal and Suraj B. Singh

kinetics studies. Energy Fuels, 16 (6), 1405-1412 Folgueras, M. B., Díaz, R. M., Xiberta, J., Prieto, I. (2003). Thermogravimetric analysis of the co-combustion of coal and sewage sludge. Fuel, 82 (15-17), 1051-1055. Galgano, A., Blasi, C. D. (2003). Modeling wood degradation by the unreacted-core-shrinking approximation. Ind. Eng. Chem. Res., 42 (10), 2101-2111. Ghosh, M. K., Ghosh, U. K. (2011). Utilization of pine needles as bed material in solid state fermentation for production of lactic acid by lactobacillus strains

### Nathan Muyinda, Bernard De Baets and Shodhan Rao

ordinary differential equations arising in combustion chemistry, Tech. Rep. NASA-TP-2372, NASA, October 1984. 19. J. Crank and P. Nicolson, A practical method for numerical evaluation of solutions of partial differential equations of the heat-conduction type, Adv. Comput. Math., vol. 6, pp. 207{226, 1996. 20. R. Glowinski, Finite element methods for incompressible viscous ow, Handbook of Numerical Anal- ysis, vol. 9, pp. 3{1176, 2003. 21. A. Madzvamuse and A. H. Chung, Fully implicit time-stepping schemes and non

### Muhammad Kamran Jamil, Mohammad Reza Farahani, Muhammad Imran and Mehar Ali Malik

as follows: M 3 ( G ) = Σ u ν ∈ E ( G ) ( ε ( u ) + ε ( ν ) ) M 4 ( G ) = Σ ν ∈ V ( G ) ε ( ν ) 2 $$\begin{array}{} \displaystyle \begin{array}{*{20}{c}} {{M_3}(G) = {\Sigma _{u\nu \in E(G)}}(\varepsilon (u) + \varepsilon (\nu ))} \hfill \\ {{M_4}(G) = {\Sigma _{\nu \in V(G)}}\varepsilon {{(\nu )}^2}} \hfill \\ \end{array} \end{array}$$ The Polycyclic Aromatic hydrocarbons PAH k for all positive integer number k is ubiquitous combustion products. They have been implicated as carcinogens and play a role in graphitization of organic materials. A

### Arturo Álvarez-Arenas, Juan Belmonte-Beitia and Gabriel F. Calvo

by combining serial imaging with a novel biomathematical model, Cancer Res., 69, 9133-9140. 10.1158/0008-5472.CAN-08-3863 Wang C.H. 2009 Prognostic significance of growth kinetics in newly diagnosed glioblastomas revealed by combining serial imaging with a novel biomathematical model Cancer Res. 69 9133 9140 10.1158/0008-5472.CAN-08-3863 [55] F.A. Williams. (1965), Combustion theory, Addison-Wesley, Reading, MA. Williams F.A. 1965 Combustion theory Addison-Wesley Reading, MA [56] D. Wodarz, N. L. Komarova. (2014), Dynamics of cancer: mathematical foundations