起草 发表于 2025-3-23 13:05:56

Variational Principles, Geometry and Topology of Lagrangian-Averaged Fluid Dynamicsirculation theorem of the LA flow and, hence, for its convection of potential vorticity and its conservation of helicity. Lagrangian averaging also preserves the Euler-Poincaré (EP) variational framework that implies the LA fluid equations. This is expressed in the Lagrangian-averaged Euler- Poincar

Allergic 发表于 2025-3-23 16:33:57

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Initiative 发表于 2025-3-23 21:46:56

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流行 发表于 2025-3-24 02:02:01

https://doi.org/10.1007/978-3-531-90599-0 differences of both types of reconnection are discussed. The transition to three-dimensional configurations shows to require a more general framework, which is found in the covariant generalization of flux conservation.

tooth-decay 发表于 2025-3-24 03:44:20

The Geometry of Reconnection differences of both types of reconnection are discussed. The transition to three-dimensional configurations shows to require a more general framework, which is found in the covariant generalization of flux conservation.

亲爱 发表于 2025-3-24 08:00:07

https://doi.org/10.1007/978-3-658-30014-2 can be applied to a specific flow exhibiting secondary flow in the form of vortex breakdown. We describe how the possibility of chaotic streamlines in 3-dimensional flow complicates the classification of patterns in this case.

诱骗 发表于 2025-3-24 11:30:44

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Factual 发表于 2025-3-24 17:26:29

Empirische Ergebnisse zu Feedback-Modellen, we give a brief description of some knot families: alternating knots, two-bridge knots, torus knots. Within each family, the classification problem is solved. In section 4 we indicate two ways to introduce some structure in knot types: via ideal knots and via the knot complement.

overshadow 发表于 2025-3-24 20:49:20

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kidney 发表于 2025-3-25 00:38:30

Elements of Classical Knot Theory we give a brief description of some knot families: alternating knots, two-bridge knots, torus knots. Within each family, the classification problem is solved. In section 4 we indicate two ways to introduce some structure in knot types: via ideal knots and via the knot complement.
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查看完整版本: Titlebook: An Introduction to the Geometry and Topology of Fluid Flows; Renzo L. Ricca Book 2001 Springer Science+Business Media Dordrecht 2001 calcu