The aim of this work is to model a jet diffusion flame, to show the corresponding proof of existence of solutions, and to present numerical results. The model is based on the flamelet equations for the chemistry and on the mixture fraction for the flow. Numerical tests are carried out for Sandia Flame D and the results are found to compare well with available data found in the literature.

We prove a general finite-dimensional reduction theorem for critical equations of scalar curvature type. Solutions of these equations are constructed as a sum of peaks. The use of this theorem reduces the proof of existence of multi-peak solutions to some test-functions estimates and to the analysis of the interactions of peaks.

The three Divine Abrahamic faiths i.e. Judaism, Christianity and Islam, revealed to the prophets of God, are divine religions that shape outlook of life, people’s perception, culture and civilization and enhance the relationship between God-man-universe. In this process, people who adhere to a particular religion tend to explore the phenomena through the lens of religion. However, throughout th...

We show lower bounds on the number of sample points and on the number of coin tosses used by general sampling algorithms for estimating the average value of functions over a large domain. The bounds depend on the desired precision and on the error probability of the estimate. Our lower bounds match upper bounds established by known algorithms, up to a mul-tiplicative constant. Furthermore, we g...

This paper presents an application of voting geometry to individual decision making. We demonstrate that a number of decision anomalies can arise as a natural consequence of the aggregation of preferences of different neural systems. We present a proof of existence of a set of voting procedures that can account for the attraction effect, the similarity effect and the compromise effect, and prov...

THIS SUPPLEMENTAL MATERIAL contains the proofs of all the lemmas that do not appear in the printed Appendix to the paper. It also contains the statements of all these lemmas and details of the intervening arguments in the proofs of the propositions. These arguments appeared in the printed Appendix. It also contains a proof of existence for a more general model that implies Proposition 3(ii). Th...

According to the abductivist reply to skepticism, the continuity, coherence and repeatable regularities found in our sensory experiences cry out for explanation. Abductivists claim the best explanation of these features of our experience is that they reflect objective regularities in the world. They maintain that the hypothesis that our sense experiences are caused by objects having roughly the...

In recent years, electronic word-of-mouth (eWOM) has become an influential factor affecting Internet users' perceptions and behaviors (Chatterjee 2001; Lee et al. 2009). However, as more evidence demonstrating the utilization of fake eWOM has been discovered (Forrest and Cao 2010; Malbon 2013), Internet users' trust of eWOM may have been severely undermined, and they may have developed skeptici...

Entropy Methods for Identifying Hedonic Models This paper contributes to the literature on hedonic models in two ways. First, it makes use of Queyranne’s reformulation of a hedonic model in the discrete case as a network flow problem in order to provide a proof of existence and integrality of a hedonic equilibrium and efficient computational techniques of hedonic prices. Second, elaborating on ...

In 2002, a method has been proposed by Buchholz et al. in the context of Local Quantum Physics, to characterize states that are locally in thermodynamic equilibrium. It could be shown for the model of massless bosons that these states exhibit quite interesting properties. The mean phase-space density satisfies a transport equation, and many of these states break time reversal symmetry. Moreover...