Abstract | ||
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We find a spectral method for the solutions to Stokes equations in the spherical domain. We represent the solutions in terms of spherical harmonics and find an algorithm deciding each coefficient of the given degree. Concrete power series expansions using the associated three-dimensional Legendre functions and two-dimensional complex variable functions are derived. Moreover the pressure can be decided from structure theorems for homogeneous solutions. |
Year | DOI | Venue |
---|---|---|
1999 | 10.1016/S0096-3003(98)10062-0 | Applied Mathematics and Computation |
Keywords | Field | DocType |
stokes equation,spectral method,spherical harmonic,three dimensional,power series expansion | Mathematical analysis,Spin-weighted spherical harmonics,Legendre polynomials,Spherical harmonics,Vector spherical harmonics,Associated Legendre polynomials,Spectral method,Legendre function,Mathematics,Stokes flow | Journal |
Volume | Issue | ISSN |
104 | 2-3 | Applied Mathematics and Computation |
Citations | PageRank | References |
1 | 0.67 | 0 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Hi Jun Choe | 1 | 5 | 3.52 |
Jeong Ho Chu | 2 | 2 | 1.06 |