Euler-Poincaré formulation of hybrid plasma models
نویسندگان
چکیده
منابع مشابه
Euler - Poincaré formulation of hybrid plasma models
Several different hybrid Vlasov-fluid systems are formulated as Euler-Poincaré systems and compared in the same framework. In particular, the discussion focuses on three major hybrid MHD models. These are the current-coupling scheme and two different variants of the pressurecoupling scheme. The Kelvin-Noether theorem is presented explicitly for each scheme, together with the Poincaré invariants...
متن کاملMultidimensional Euler – Poincaré equations 1
Given a Lagrangian L : J 1 P → R, with P = M × G → M, invariant under the natural action of G on J 1 P, we deduce the analog of the Euler–Poincaré equations. The geometry of the reduced variational problem as well as its link with the Noether Theorem and an example are also given.
متن کاملFormulation of Euler Fluid
The Hamiltonian formalism for the continuous media is constructed using the representation of Euler variables in C 2 × ∞ phase space.
متن کاملEuler-Poincaré characteristics of classes of disordered media.
We consider a family of statistical measures based on the Euler-Poincaré characteristic of n-dimensional space that are sensitive to the morphology of disordered structures. These measures embody information from every order of the correlation function but can be calculated simply by summing over local contributions. We compute the evolution of the measures with density for a range of disordere...
متن کاملEuler - Poincaré reduction of externally forced rigid body motion
If a mechanical system experiences symmetry, the Lagrangian becomes invariant under a certain group action. This property leads to substantial simplification of the description of movement. The standpoint in this article is a mechanical system affected by an external force of a control action. Assuming that the system possesses symmetry and the configuration manifold corresponds to a Lie group,...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Sciences
سال: 2012
ISSN: 1539-6746,1945-0796
DOI: 10.4310/cms.2012.v10.n1.a10