TY - GEN N2 - 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. AB - 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. T1 - Mathematical problems of the dynamics of incompressible fluid on a rotating sphere / DA - 2017. CY - Cham : AU - Skiba, Yuri N. CN - TA357 CN - QA1-939 PB - Springer, PP - Cham : PY - 2017. ID - 800060 KW - Fluid dynamics SN - 9783319654126 SN - 3319654128 TI - Mathematical problems of the dynamics of incompressible fluid on a rotating sphere / LK - https://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-65412-6 UR - https://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-65412-6 ER -