This paper is devoted Roshe4660-Shoes Roshe Trainers Women Gray Pink to a study of the nonlinear evolution of a disturbed plane flame front in a hydrodynamic instability regime induced by thermal expansion of a burned gas. It is shown that, in sufficiently small-scale flames, spontaneous instability appears in the guise of stationary wide-spaced irregular folds. However, in sufficiently large-scale flames, one encounters a completely new type of hydrodynamic instability: the flame front splits into separate cells which are constantly subdividing and merging in a chaotic manner. The average dimension of the cells is approximately five times greater than the wavelength of the disturbance which has the highest Royal Blue White Nike Free 5.0 V3 Men
amplification rate (according to the linear theory).
We propose a model for pricing a unit-linked life insurance policy embedding a surrender option. We consider both single and annual premium contracts. First we analyse a quite general contract, for which we obtain a backward recursive valuation formula based on the Cox et al. [Cox, J.C., Ross, S.A., Rubinstein, M., 1979. Option pricing: a simplified approach. J. Finan. Econ. 7, 229–263]
binomial model. Then we concentrate upon a particular case, that is the famous model with exogenous minimum guarantees. In this case we extend our previous analysis in order to take into account the possibility that the guarantees at death or maturity and the surrender values are endogenously determined, and provide necessary and sufficient conditions for the premiums to be well defined.