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

zbMath1208.35116MaRDI QIDQ627352

Yuri N. Skiba

Publication date: 1 March 2011

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.cma/1298670014

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Geometric theory, characteristics, transformations in context of PDEs (35A30) Fractional partial differential equations (35R11)

Cites Work

• Approximation of smooth functions on the sphere \(S^ n \)by the Fourier method
• Solvability in the small of nonstationary problems for incompressible ideal and viscous fluids and the case of vanishing viscosity
• On the behavior of special classes of ultraspherical expansions. I, II
• Bernstein's inequality for fractional derivatives of polynomials in spherical harmonics
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