Stratified precessional flow in spherical geometry

spherical interpretation of plane geometry in menelaus of alexandria’s sphaerica

menelaus’ sphaerica can be considered as the most important classical text in the tradition of spherics books, written with the aim of the solution of problems arising in spherical astonomy. euclid’s elements is the the most important book on plane geometry. this article aims at a comparative study of menelaus’s sphaerica and euclid’s elements, to show that book i of sphaerica is an attempt to ...

Furrow geometry nnder surge and continuous flow

Quantum Hall Skyrmions in Spherical Geometry

We have shown here that when 2D electron gas is taken to reside on the surface of 3D sphere with a monopole at the centre we can study quantum Hall skyrmions in terms of the 3+1 dimensional nonlinear sigma model. We have shown that the addition of the Skyrme term in the Lagrangian, for stability of skyrmion, helps us to determine the size of it. We have computed the energy of skyrmions in this ...

Vegetation dynamics amplifies precessional forcing

[1] The astronomical theory of climate variations predicts that the climatic precession which changes the seasonal distance between Earth and Sun does not affect the annual mean irradiation at any given latitude. However, previous modeling studies suggest that during interglacials, the interaction between atmosphere, vegetation and ocean can transform the seasonal forcing by precession into an ...

Stratified Kolmogorov flow . Part 2

Forced stratified flows are shown to suffer two types of linear long-wave instability: a ‘viscous’ instability which is related to the classical instability of Kolmogorov flow, and a ‘conductive instability’, with the form of a large-scale, negative thermal diffusion. The nonlinear dynamics of both instabilities is explored with weakly nonlinear theory and numerical computations. The introducti...