Analytic discs method in complex analysis

Pseudoconvexity, Analytic Discs, and Invariant Metrics

We begin by studying characterizations of pseudoconvexity, and also of finite type, using analytic discs. The results presented are analogous to well-known ideas from the real variable setting in which “pseudoconvex” is replaced by “convex” and “analytic disc” is replaced by “line segment”. The second part of the paper concerns regularity results for the Kobayashi metric. Of course this metric ...

Siegel Discs in Complex Dynamics

Siegel disc is a connected component in the Fatou set where the dynamics is analytically conjugated to an irrational rotation. In what follows, we try to give a brief overview of some of the key questions regarding the study of Siegel discs; namely, conditions for its existence, its geometry and the topology of its boundary.

The Complementary Functions Method (CFM) Solution to the Elastic Analysis of Polar Orthotropic Rotating Discs

This study primarily deals with introducing an efficient numerical technique called the Complementary Functions Method (CFM) for the solutions of the initial value problem for the linear elastic analysis of anisotropic rotating uniform discs. To bring the performance of the method to light, first, closed form formulas are derived for such discs. The governing equation of the problem at stake is...

5 Extremal Discs and Analytic Continuation of Product Cr Maps

Buckling Analysis of Cylindrical Grooved Shell under Axial Load Discs

In this paper, buckling of cylindrical grooved shells under axial load has been examined by theoretical and experimental methods. The shell is made of USA/API – X42 5L steel standards. This material is one of the most common materials used in gas, oil and petrochemical industries. The effect of spiral grooves on cylindrical shell was analyzed, and the results obtained from the Abaqus software w...