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IEEE Antennas and Propagation Society, AP-S International Symposium (Digest), ISSN 0272-4693, 1997, Volume 1, pp. 460 - 463
Conference Proceeding
DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, ISSN 1548-159X, 2005, Volume 2, Issue 1, pp. 25 - 57
This paper shows that the time t map of the averaged Euler equations, with Dirichlet, Neumann, and mixed boundary conditions is canonical relative to a... 
DIFFEOMORPHISMS | Neumann | MATHEMATICS, APPLIED | geodesic spray | MOTION | averaged Euler equation | Lie-Poisson reduction | Sobolev diffeomorphsim group | and mixed boundary condition | Dirichlet | GEOMETRY
Journal Article
04/2005
This paper shows that the time $t$ map of the averaged Euler equations, with Dirichlet, Neumann, and mixed boundary conditions is canonical relative to a... 
Journal Article
03/2006
This paper presents the theory of non-smooth Lie group actions on chains of Banach manifolds. The rigorous functional analytic spaces are given to deal with... 
Journal Article
Annals of Global Analysis and Geometry, ISSN 0232-704X, 5/2007, Volume 31, Issue 3, pp. 287 - 328
... François Gay-Balmaz · Tudor S. Ratiu Received: 28 March 2006 / Accepted: 9 June 2006 / Published online: 24 February 2007 © Springer Science+Business Media B.V. 2007... 
Euler equation | 58D05 | Slices | Mathematical and Computational Physics | 58B25 | Mathematics | 53D25 | Banach manifold | 58D19 | Geometry | Reduction | 53D1 | Statistics for Business/Economics/Mathematical Finance/Insurance | Analysis | 35Q35 | Lie group action | 58B20 | Group Theory and Generalizations | MATHEMATICS | slices | reduction | Studies | Mathematical models
Journal Article
JOURNAL OF SYMPLECTIC GEOMETRY, ISSN 1527-5256, 06/2008, Volume 6, Issue 2, pp. 189 - 237
The Lagrangian and Hamiltonian structures for an ideal gauge-charged fluid are determined. Using a Kaluza-Klein point of view, the equations of motion are... 
MATHEMATICS | EQUATIONS | GAUGE FIELD | SEMIDIRECT PRODUCTS
Journal Article
Bulletin of the transilvania University of Brasov, Series III. Mathematics, Informatics, Physics, ISSN 2065-2151, 01/2009, Volume 2, pp. 55 - 55
Journal Article
Bulletin of the Transilvania University of Brașov. Series III, Mathematics, informatics, physics, ISSN 2065-2151, 01/2009, Volume 2, p. 55
Journal Article
01/2009
Euler-Poincare equations are derived for the dynamical folding of charged molecular strands (such as DNA) modeled as flexible continuous filamentary... 
Journal Article
Advances in Applied Mathematics, ISSN 0196-8858, 2009, Volume 42, Issue 2, pp. 176 - 275
Journal Article
03/2009
Adv. Appl. Math., 42 (2) (2008) 176-275 This paper develops the theory of affine Euler-Poincar\'e and affine Lie-Poisson reductions and applies these processes... 
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8121, 08/2008, Volume 41, Issue 34, p. 344007
This paper develops the theory of affine Lie-Poisson reduction and applies this process to Yang-Mills and Hall magnetohydrodynamics for fluids and superfluids.... 
HYDRODYNAMICS | DYNAMICS | PHYSICS, MULTIDISCIPLINARY | FORMULATION | PHYSICS, MATHEMATICAL | SEMIDIRECT PRODUCTS
Journal Article
03/2009
Journal of Symplectic Geometry, 6 (2) 2008, 189-237 The Lagrangian and Hamiltonian structures for an ideal gauge-charged fluid are determined. Using a... 
Journal Article
03/2009
This paper develops the theory of affine Lie-Poisson reduction and applies this process to Yang-Mills and Hall magnetohydrodynamics for fluids and superfluids.... 
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 2009, Volume 256, Issue 9, pp. 2815 - 2841
The purpose of this paper is to give the classification of the Bott–Virasoro coadjoint orbits, with nonzero central charge, in the functional analytic setting... 
Bott–Virasoro group | Hilbert manifold | diffeomorphism group | Virasoro algebra | coadjoint orbit | Bott-Virasoro group | MATHEMATICS | REPRESENTATIONS | FLUID
Journal Article
Journal of geometric mechanics, ISSN 1941-4889, 12/2009, Volume 1, Issue 4, pp. 417 - 444
We obtain the affine Euler-Poincare equations by standard Lagrangian reduction and deduce the associated Clebsch-constrained variational principle. These... 
EULER-POINCARE-EQUATIONS | MATHEMATICS, APPLIED | Kirchhoff rod | cocycle | variational principles | symmetry | Lagrangian reducton | spin system | POISSON BRACKETS | PLASMAS | PHYSICS, MATHEMATICAL | affine Euler-Poincare equations
Journal Article
Annales de l'Institut Fourier, ISSN 0373-0956, 2010, Volume 60, Issue 3, pp. 1125 - 1160
For symmetric classical field theories on principal bundles there are two methods of symmetry reduction: covariant and dynamic. Assume that the classical field... 
Principal bundle field theory | Affine euler-poincaré | Lagrangian | Dynamic reduction | Equation | Covariant reduction | Covariant euler-poincaré | MATHEMATICS | dynamic reduction | principal bundle field theory | affine Euler-Poincare equation | covariant Euler-Poincare equation
Journal Article
05/2010
Dendronized polymers consist of an elastic backbone with a set of iterated branch structures (dendrimers)attached at every base point of the backbone. The... 
Journal Article
06/2010
We formulate Euler-Poincar\'e equations on the Lie group Aut(P) of automorphisms of a principal bundle P. The corresponding flows are referred to as EPAut... 
Journal Article
07/2010
This paper is a rigorous study of the dual pair structure of the ideal fluid and the dual pair structure for the $n$-dimensional Camassa-Holm (EPDiff)... 
Journal Article
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