A d-dimensional spacetime is “axisymmetric” if it possesses an SO(d−2) isometry group whose orbits are (d−3)-spheres. In this paper, algebraically special, axisymmetric solutions of the higher dimensional vacuum Einstein equation (with cosmological constant) are investigated. Necessary and sufficient conditions for static axisymmetric solutions to belong to different algebraic classes are prese...

It is well known that most PDE problems defined over an axisymmetric domain can be efficiently solved by a Fourier based solution method. However, for many applications, the underlying computational domain is not entirely axisymmetric, but has one or several major axisymmetric subdomains. For such problems, an axisymmetric analysis method is not applicable, and a straightforward one can be inef...

Increasing observations are becoming available about a relatively weak, but persistent, non-axisymmetric magnetic field co-existing with the dominant axisymmetric field on the Sun. It indicates that the non-axisymmetric magnetic field plays an important role in the origin of solar activity. A linear non-axisymmetric α − Ω dynamo model is set up to discuss the characteristics of the axisymmetric...

In this paper, the structure of turbulent wake behind inner tube a suddenly expanding annular jet flow is studied. The field measured using tomographic particle image velocimetry and analyzed proper orthogonal decomposition (POD). It was found that both instantaneous time-averaged central wakes pipe are highly asymmetric despite axisymmetric geometry. This asymmetry result bifurcation at low Re...

Observations show that solar activity is distributed non-axisymmetrically, concentrating at “preferred longitudes”. This indicates the important role of non-axisymmetric magnetic fields in the origin of solar activity. We investigate the generation of the non-axisymmetric fields and their coupling with axisymmetric solar magnetic field. Our kinematic generation (dynamo) model operating in a sph...

Axisymmetric shapes of Beer, Rosenthal, D. Ross, Gulliver, and others provide universal solutions for a problem related to Plateau's rotating drops, for the material class of Noll's simple incompressible fluid subject to Laplace's frequently used linear constitutive relation between pressure jump and mean curvature at the free boundary. A bifurcation from spheroidal to toroidal shapes occurs wi...

Growth-induced instabilities are ubiquitous in biological systems and lead to diverse morphologies the form of wrinkling, folding, creasing. The current work focusses on mechanics behind growth-induced wrinkling an incompressible annular hyperelastic plate. governing differential equations for a two-dimensional plate system derived using variational principle with no apriori kinematic assumptio...

Abstract Shells of revolution under axisymmetric conditions exhibit a circumferentially uniform pre‐buckling stress state and are important fundamental systems which often serve as reference for those more complex conditions. Given this status, work is continuing on careful complete characterization their buckling response with the aid Reference Resistance Design (RRD) framework ultimate benefi...

percutaneous coronary intervention in the setting of coronary bifurcation lesions is associated with increased risk for complications. the goal of this manuscript is to review the currently available classifications for coronary artery bifurcation lesions with a guide to the use of specific coronary bifurcation techniques based on lesion characteristics

The purpose of this study is to determine more accurately the marginal stability condition for axisymmetric waves since it is believed that an unstable axisymmetric wave could affect the amplification of spiral waves. An axisymmetric wave with a gradient term of velocity dispersion ( surface density ) is derived. Analysis of this axisymmetric wave with a gradient term for our own galaxy shows t...