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 or graduate students in
the areas of dynamics of incompressible fluid on a rotating sphere,
theory of functions on a sphere, and flow stability.
General
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