Seite - 18 - in Advanced Chemical Kinetics

[12] Kooshkbaghi, M, et al. The global relaxation redistribution method for reduction of combustion kinetics. The Journal of Chemical Physics. 2014;141(4):044102. DOI: dx.doi. org/10.1063/1.4890368. [13] ConstalesD,YablonskyGS,MarinGB.Thermodynamic time invariances fordualkinetic experiments:Nonlinear single reactions andmore. Chemical Engineering Science. 2012; 73:20-29 [14] Bongers H, Van Oijen JA, De Goey LPH. Intrinsic low-dimensional manifold method extendedwithdiffusion. Proceedings of theCombustion Institute. 2002;29(1):1371-1378. DOI:doi.org/10.1016/S1540-7489(02)80168-7 [15] BykovVet al.Onamodifiedversionof ILDMapproach:Asymptotic analysis basedon integralmanifolds. IMA Journal of AppliedMathematics. 2006;71(3):359-382. DOI: doi. org/10.1093/imamat/hxh100 [16] GorbanAN,Karlin IV.Thermodynamicparameterization.PhysicaA:StatisticalMechan- icsand itsApplications. 1992;190(3):393-404.DOI:doi.org/10.1016/0378-4371(92)90044-Q [17] Gorban AN, ShahzadM. TheMichaelis-Menten-Stueckelberg theorem. Entropy. 2011; 13(5):966-1019.DOI:10.3390/e13050966 [18] MaasU, Pope SB. Simplifying chemical kinetics: intrinsic low-dimensionalmanifolds in composition space. Combustion and Flame. 1992;88(3):239-264. DOI: doi.org/10.1016/ 0010-2180(92)90034-M [19] Gorban AN, Karlin IV, Zinovyev AY. Invariant grids for reaction kinetics. Physica A: StatisticalMechanics and itsApplications. 2004;333:106-154.DOI:doi.org/10.1016/j.physa. 2003.10.043 [20] Gorban AN, Karlin IV. Method of invariant manifold for chemical kinetics. Chemical EngineeringScience. 2003;58(21):4751-4768.DOI:doi.org/10.1016/j.ces.2002.12.001 [21] GorbanAN, Karlin IV, ZinovyevAY. Constructivemethods of invariantmanifolds for kinetic problems. Physics Reports. 2004;396(4):197-403. DOI: doi.org/10.1016/j.physrep. 2004.03.006 [22] Shahzad M et al. Computing the low dimension manifold in dissipative dynamical systems.TheNucleus. 2016;53(3):107-113 [23] Yablonsky GS, Constales D, Marin GB. Coincidences in chemical kinetics: Surprising newsabout simple reactions.ChemicalEngineeringScience. 2010;65(23):6065-6076.DOI: doi.org/10.1016/j.ces.2010.04.007 [24] Yablonsky GS, Constales D, Marin GB. Equilibrium relationships for non-equilibrium chemicaldependencies.ChemicalEngineeringScience. 2011;66(1):111-114.DOI:doi.org/ 10.1016/j.ces.2010.10.014 [25] YablonskyGS et al. Reciprocal relations between kinetic curves. EPL (Europhysics Let- ters). 2011;93(2):20004 Advanced Chemical Kinetics18