## Communications in Mathematical Analysis

### Unique solvability of vorticity equation of incompressible viscous fluid on a rotating sphere

Yuri N. Skiba

#### Abstract

Ortogonal projectors, fractional derivatives and Hilbert and Banach spaces on a two-dimensional unit sphere are introduced. Unique solvability of nonstationary problem for barotropic vorticity equation on the sphere in classes of generalized functions is proved.

#### Article information

Source
Commun. Math. Anal., Conference 3 (2011), 209-224.

Dates
First available in Project Euclid: 25 February 2011

Permanent link to this document
https://projecteuclid.org/euclid.cma/1298670014

Mathematical Reviews number (MathSciNet)
MR2772063

Zentralblatt MATH identifier
1208.35116

#### Citation

Skiba, Yuri N. Unique solvability of vorticity equation of incompressible viscous fluid on a rotating sphere. Commun. Math. Anal. (2011), no. 3, 209--224. https://projecteuclid.org/euclid.cma/1298670014

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