Westudy theGreen functionof thePoisson equation in two, three and four dimensions. The solution g of the equation g x x x x D 2 d  ¢ = ¢      ( ) ( ) ( ) , where x and x ¢  areD-dimensional position vectors, is customarily expanded into radial and angular coordinates. For the two-dimensional case (D=2), we find a subtle interplay of the necessarily introduced scaleLwith the radial com...

objective: the purpose of this study was to evaluate and compare the effect of storage time and conditions on dimensional stability of acrylic patterns. materials and methods: in this in vitro study, a cylindrical shaped metallic post-core was fabricated. impressions were made from this metallic model and 30 samples were prepared with duralay acrylic resin. the specimens were divided into three...

This study presents the computational analysis of three dimensional Casson and Carreau nanofluid flow concerning the convective conditions. To do so, the flow equations are modified to nonlinear system of ODEs after using appropriate self-similarity functions. The solution for the modified system is evaluated by numerical techniques. The results show the impacts of involving variables on flow c...

In this paper, the two-dimensional Benney system describing long wave propagation of a finite depth fluid motion and the multi-dimensional Russo-Smereka kinetic equation describing a bubbly flow are considered. The Hamiltonian approach established by J. Gibbons for the one-dimensional Vlasov kinetic equation is extended to a multi-dimensional case. A local Hamiltonian structure associated with ...

In this paper, we study the existence of a skew Killing spinor (see the definition below) on 2 and 3-dimensional Riemannian spin manifolds. We establish the integrability conditions and prove that these spinor fields correspond to twistor spinors in the two dimensional case while, up to a conformal change of the metric, they correspond to parallel spinors in the three dimensional case.

In this paper we give necessary optimality conditions of Fritz-John and Kuhn-Tucker (KKT) conditions for non-linear infinite dimensional programming problem with operatorial constraints. We use an alternative theorem. Some of the known results in finite dimensional case have been extended to infinite dimensional case with suitable conditions.

In this paper we present computational cost estimates for parallel shared memory isogeometric multi-frontal solver. The estimates show that the ideal isogeometric shared memory parallel direct solver scales as O(p log(N/p)) for one dimensional problems, O(Np) for two dimensional problems, and O(Np) for three dimensional problems, where N is the number of degrees of freedom, and p is the polynom...

background and aims. the most common method for alginate impression disinfection is spraying it by disinfecting agents, but some studies have shown that these impressions can be immersed, too. the aim of this study was to evaluate the dimensional stability of alginate impressions following disinfecting by spray and immersion methods. materials and methods. four common disinfecting agents (sodiu...