A bstract We construct a non-relativistic limit of ten-dimensional $$ \mathcal{N} N = 1 supergravity from the point view symmetries, action, and equations motion. This can only be realized in supersymmetric way provided we impose by hand set geometric constraints, invariant under all symmetries theory, that d...

This is a set of lectures on the gauge/string duality and non-critical strings, with a particular emphasis on the discretized, or matrix model, approach. After a general discussion of various points of view, I describe the recent generalization to four dimensional non-critical (or five dimensional critical) string theories of the matrix model approach. This yields fully non-perturbative and exp...

In this article, the temperature behavior of output power of superluminescent light-emitting diode (SLED) by considering the effect of non-radiative recombination coefficient, non-radiative spontaneous emission coefficient and Auger recombination coefficients has been investigated. For this aim, GaN pyramidal quantum dots were used as the active region. The numerical method has been used to sol...

The present paper deals with the prediction of three-dimensional fluid flow and heat transfer in rib-roughened ducts of square cross-section. Such flows are of direct relevance to the internal cooling system of modern gas turbine blades. The main objective is to assess how a recently developed variant of a cubic non-linear model (proposed by Craft et al. (1999)), that has been shown to produce ...

Let $$F(y){{:}{=}}\int \nolimits _t^TL(s, y(s), y'(s))\,ds$$ be a positive functional defined on the space $$W^{1,p}([t,T]; {{\mathbb {R}}}^n)$$ ( $$p\ge 1$$ ) of Sobolev functions with, possibly, one or both end point conditions. It is important, especially for applications, to able approximate infimum F with values along sequence Lipschitz satisfying same boundary condition(s). Sometimes this...