In this paper, we investigate the multifractal decomposition of limit set a finitely generated, free Fuchsian group with respect to mean cusp-winding number. We completely determine its spectrum by means certain energy function and show that Hausdorff dimension sets consisting points same scaling exponent coincides Legendre transform function. As by-product generalize previously obtained result...

The modern engineering structures require the advanced engineering materials to resist the high temperatures and to provide high stiffness. In particular the functionally graded porous materials (FGPMs) introduced are expected to have these desired properties, consequently eliminating local stress concentration and de-lamination. In the present paper, a new shear strains shape function is chose...

In this paper, we analyze the stability of equilibrium manifolds hyperbolic shallow water moment equations. Shallow equations describe flows for complex velocity profiles which vary in vertical direction and models can be seen as extensions standard Equilibrium is an important property balance laws that determines linear solutions vicinity manifolds, it a necessary condition stable numerical so...