A study was performed to elucidate the mechanisms of extinction and autoignition of n-heptane in strained laminar flows under non-premixed conditions. A previously developed detailed mechanism made up of 2540 reversible elementary reactions among 556 species was the starting point for the study. The detailed mechanism was previously used to calculate ignition delay times in homogeneous reactors...

A class of unsteady free convection flows over a differentially cooled horizontal surface is considered. The cooling, specified in terms of an imposed negative buoyancy or buoyancy flux, varies laterally as a step function with a single step change. As thermal boundary layers develop on either side of the step change, an intrinsically unsteady, boundary-layer-like flow arises in the transition ...

Nonlinear dynamics around a rank-one saddle is investigated in a high energy regime above the reaction threshold. The transition state (TS) is considered as a surface of a "point of no return" through which all reactive trajectories pass only once in the process of climbing over the saddle before being captured in the product state. A no-return TS ceases to exist above a certain high energy reg...

We introduce a notion of large-scale foliation for metric measure spaces and we prove that if X is large-scale foliated by Y , and if Y satisfies a Sobolev inequality at large-scale, then so does X. In particular the Lp-isoperimetric of Y grows faster than the one of X. A special case is when Y = H is a closed subgroup of a locally compact group X = G. The class of elementary solvable groups is...

We study a large class of amenable locally compact groups containing all solvable algebraic groups over a local field and their discrete subgroups. We show that the isoperimetric profile of these groups is in some sense optimal among amenable groups. We use this fact to compute the probability of return of symmetric random walks, and to derive various other geometric properties which are likely...

We analyze the computational complexity of elementary uni-cation and disuniication problems for the equational theory ACI of commutative idempotent semigroups. From earlier work, it was known that the decision problem for elementary ACI-uniication is solvable in polynomial time. We show that this problem is inherently sequential by establishing that it is complete for polynomial time (P-complet...

We introduce the notion of an elementary solution to polyharmonic equation and study its properties. derive integral representation for functions in a bounded domain with piecewise smooth boundary define Green function Navier problem. obtain explicit formula problem unit ball.

At the time this inaugural issue of Avar: A Journal Life and Society in Ancient Near East heads to press, we are keenly aware fact that number new journals fields Biblical Studies, Egyptology, broader Eastern Studies have proliferated last decade. Yet, hope demonstrate our readers Avar fills an important lacuna academic study ancient past. The title journal, Avar, centers interdisciplinarity as...

A novel fractal design scheme has been introduced in this paper to generate microstrip bandpass filter designs with miniaturized sizes for wireless applications. The presented fractal scheme is based on Minkowski-like prefractal geometry. The space-filling property and self-similarity of this fractal geometry has found to produce reduced size symmetrical structures corresponding to the successi...

A new compact microstrip bandpass filter design is introduced in this paper as a candidate for use in modern wireless communication systems. The proposed filter structure is composed of two fractal-based microstrip resonators. The structure of each resonator is in the form of the Hilbert fractal curve geometry. Two microstrip single-mode resonators with structures based on the 3rd and 4th itera...