This book presents selected mathematical problems involving the dynamics of a two-dimensional viscous and ideal incompressible fluid on a rotating sphere. In this case, the fluid motion is completely governed by the barotropic vorticity equation (BVE), and the viscosity term in the vorticity equation is taken in its general form, which contains the derivative of real degree of the spherical Laplace operator. This work builds a bridge between basic concepts and concrete outcomes by pursuing a rich combination of theoretical, analytical and numerical approaches, and is recommended for specialists developing mathematical methods for application to problems in physics, hydrodynamics, meteorology and geophysics, as well for upper undergraduate o...
The majority of this work is concerned with the local-stability of incompressible non-Newtonian boun...
The two-dimensional, viscous flow around an elliptic cylinder undergoing prescribed unsteady motions...
We derive the conditions for the stability of strips or filaments of vorticity on the surface of a s...
The viscous, incompressible, rotationally symmetric flow due to a sphere rotating with a constant an...
The equations of motion for a viscous incompressible fluid in a rotating spherical annulus, subject ...
The equations of motion for a viscous incompressible fluid in a rotating spherical annulus, subject ...
In this thesis, three parts, each with several chapters, are respectively devoted to hydrostatic, vi...
AbstractOrthogonal projectors and fractional derivatives on a two-dimensional unit sphere are introd...
The steady flow around a rotating sphere at large Reynolds numbers, up to 105, is obtained and analy...
The problem of determining the induced steady axially symmetric motion of an incompressible viscous ...
AbstractOrthogonal projectors and fractional derivatives on a two-dimensional unit sphere are introd...
The problem of determining the induced steady axially symmetric motion of an incom-pressible viscous...
The problem of determining the induced steady axially symmetric motion of an incom-pressible viscous...
This dissertation deals with the study of the transient motion of a system consisting of an incompre...
This dissertation deals with the study of the transient motion of a system consisting of an incompre...
The majority of this work is concerned with the local-stability of incompressible non-Newtonian boun...
The two-dimensional, viscous flow around an elliptic cylinder undergoing prescribed unsteady motions...
We derive the conditions for the stability of strips or filaments of vorticity on the surface of a s...
The viscous, incompressible, rotationally symmetric flow due to a sphere rotating with a constant an...
The equations of motion for a viscous incompressible fluid in a rotating spherical annulus, subject ...
The equations of motion for a viscous incompressible fluid in a rotating spherical annulus, subject ...
In this thesis, three parts, each with several chapters, are respectively devoted to hydrostatic, vi...
AbstractOrthogonal projectors and fractional derivatives on a two-dimensional unit sphere are introd...
The steady flow around a rotating sphere at large Reynolds numbers, up to 105, is obtained and analy...
The problem of determining the induced steady axially symmetric motion of an incompressible viscous ...
AbstractOrthogonal projectors and fractional derivatives on a two-dimensional unit sphere are introd...
The problem of determining the induced steady axially symmetric motion of an incom-pressible viscous...
The problem of determining the induced steady axially symmetric motion of an incom-pressible viscous...
This dissertation deals with the study of the transient motion of a system consisting of an incompre...
This dissertation deals with the study of the transient motion of a system consisting of an incompre...
The majority of this work is concerned with the local-stability of incompressible non-Newtonian boun...
The two-dimensional, viscous flow around an elliptic cylinder undergoing prescribed unsteady motions...
We derive the conditions for the stability of strips or filaments of vorticity on the surface of a s...