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- 000 02669nam a22004215i 4500
- 008 170921s2017 gw | s |||| 0|eng d
- 024 7_ |a 10.1007/978-3-319-65412-6 |2 doi
- 072 _7 |a MAT003000 |2 bisacsh
- 100 1_ |a Skiba, Yuri N. |e author.
- 245 10 |a Mathematical Problems of the Dynamics of Incompressible Fluid on a Rotating Sphere |h [electronic resource] / |c by Yuri N. Skiba.
- 264 __ |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2017.
- 300 __ |a XII, 239 p. 34 illus. |b online resource.
- 505 0_ |a Chapter 01- Introduction -- Chapter 02- Spaces of Functions on a Sphere -- Chapter 03- Solvability of Vorticity Equation on a Sphere -- Chapter 04- Dynamics of Ideal Fluid on a Sphere -- Chapter 05- Stability of Rossby-Haurwitz (RH) Waves -- Chapter 06- Stability of Modons and Wu-Verkley waves -- Chapter 07- Linear and Nonlinear Stability of Flows -- Chapter 08- Numerical Study of Linear Stability -- References.
- 520 __ |a 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.
- 650 _0 |a Atmospheric sciences.
- 650 _0 |a Mathematical physics.
- 650 _0 |a Environmental sciences.
- 650 24 |a Mathematical Applications in the Physical Sciences.
- 650 24 |a Math. Appl. in Environmental Science.
- 650 24 |a Atmospheric Sciences.
- 650 24 |a Fluid- and Aerodynamics.
- 710 2_ |a SpringerLink (Online service)
- 773 0_ |t Springer eBooks
- 776 08 |i Printed edition: |z 9783319654119
- 856 40 |u http://dx.doi.org/10.1007/978-3-319-65412-6