亲密
发表于 2025-3-26 22:09:14
Geometric and Topological Aspects of Vortex Motion extension to higher dimensional manifolds) and the topological interpretation of kinetic helicity in terms of linking numbers. We recall basic results on evolution of vortex knots and links and outline possible applications of algebraic, geometric and topological measures to evaluate structural complexity of vortex flows.
WAIL
发表于 2025-3-27 02:05:51
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起波澜
发表于 2025-3-27 07:51:58
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通知
发表于 2025-3-27 09:36:43
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青少年
发表于 2025-3-27 16:45:11
https://doi.org/10.1007/978-3-658-30014-2rameters are varied, and show how normal form theory can be used to simplify the differential equations that describe the streamlines. The approach is used to obtain a basic qualitative description of separation and attachment close to a wall and to axisymmetric flow, and we illustrate how the ideas
疏忽
发表于 2025-3-27 20:19:28
Die Einführung der Kapitalmarktaufsichtmetric properties of the fluid. Focusing first on steady Euler fields, we outline known results, giving special attention to the Beltrami fields and the contemporary topological techniques required to elucidate their dynamical features. We also propose a topological perspective for understanding the
escalate
发表于 2025-3-28 01:24:18
https://doi.org/10.1007/978-3-658-30014-2en fields and conservation laws, we discuss geometric aspects of vortex filament motion (intrinsic equations, connections with integrable dynamics and extension to higher dimensional manifolds) and the topological interpretation of kinetic helicity in terms of linking numbers. We recall basic result
公理
发表于 2025-3-28 04:10:13
,Gegner und Verbündete in der Kohlenkrise,structure can be quantified using topological invariants. While topological quantities obey conservation laws in systems with no resistivity and simple boundary conditions, in more general circumstances they can change in time as the physical system evolves. Topological structure is often thought of
躲债
发表于 2025-3-28 07:38:12
https://doi.org/10.1007/978-3-531-90599-0g geodesics is the variational method: we are looking for the shortest path connecting two fluid configurations. In the three dimensional case this approach meets serious difficulties, but in two dimensions it brings a partial success: there exists a reasonable generalized solution of variational pr
集合
发表于 2025-3-28 13:12:48
,Gegner und Verbündete in der Kohlenkrise,irculation 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