Nonlinearity of energy of Rankine flows on a torus
| Autor: | Masaaki Ito, Masakazu Shiba |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2001 |
| Předmět: |
Linear function (calculus)
Plane (geometry) Applied Mathematics Mathematical analysis Torus Function (mathematics) Quadratic function Energy of a flow Domain (mathematical analysis) Ideal fluid flows on a torus Physics::Fluid Dynamics Bounded function Weierstrass ζ-function Streamlines streaklines and pathlines Analysis Mathematics |
| Zdroj: | Nonlinear Analysis. 47(8):5467-5477 |
| Popis: | E We study an ideal fluid flow on a torus described by the Weierstrass ^-function. In spite of the analogy of this function to the Joukowski transformation on the plane the convex (planar) domain bounded by two streamlines passing through the stagnation points is not a disk. The energy of the flowoutside the convex domain is generally nonlinear function of the strength of the dipole; in fact the energy is in only two cases a linear function of the strength, and otherwise it is a quadratic function. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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