This thesis consists of three parts. In the first part, we study the eleven dimensional supergravity equations on B × S considered as an edge manifold. We compute the indicial roots of the linearized system using the Hodge decomposition, and using the edge calculus and scattering theory we prove that the moduli space of solutions, near the Freund–Rubin states, is parameterized by three pairs of...

In this study, we investigate the Tchebyshev polynomials expansion method for the kernels identification of nonlinear systems. In aerodynamic systems, all the output data to an arbitrary input may be obtained by executing the Computational Fluid Dynamic (CFD) program code. This calculation process may take more than several hours or days to complete. In comparison with the indicial or impulse m...

We will determine the number of powers of α that appear with nonzero coefficient in an α-power linear differential resolvent of smallest possible order of a univariate polynomial P(t) whose coefficients lie in an ordinary differential field and whose distinct roots are differentially independent over constants. We will then give an upper bound on the weight of an α-resolvent of smallest possibl...

An evaluation of aerodynamic and structural models is carried out for their application to flight dynamics of low-speed aircraft with very-flexible high-aspect-ratio wings. The structural dynamic approaches include displacement-based, strain-based, and intrinsic (first-order) geometrically-nonlinear composite beam models, while thin-strip and vortexlattice methods are considered for the unstead...

Abstract. In this work, a computationally efficient engineering model for the aerodynamics of swept wind turbine blades is proposed extended blade element momentum (BEM) formulation. The modified based on coupled near- and far-wake model, in which near wake assumed to be first quarter revolution non-expanding helical own blade. For special case in-plane trailed vorticity, original empirical equ...

We consider a data-driven method, which combines Koopman operator theory with Extended Dynamic Mode Decomposition. apply this method to the hypergeometric equation is Fuchsian three regular singular points. The space of solutions at any its points two-dimensional linear vector on field reals when independent variable restricted take values in real axis and unknown function be real-valued variab...

Este artigo tem como objetivo identificar, a partir de uma perspectiva semiótica, diversidade signos em mapas componentes exposições virtuais e suas contribuições para inclusão crianças museus. Para tanto, foi realizada pesquisa bibliografia dos termos: museu, exposição virtual, mapa público infantil. Em seguida, foram analisados elaborados três virtuais. Cada apresentou contemplando diferentes...