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The methods developed by authors are applied to some reductions of BBGKY hierarchy, namely, various examples of Vlasov-like systems which are important both for fusionmodeling and for particular physi...
Massive Hopfions     Massive Hopfions       2011/3/2
The Skyrme-Faddeev model is a (3 + 1)-dimensional model which has knotted,string-like, soliton solutions. In this paper we investigate a Skyrme-Faddeev model with an SO(3) symmetry breaking potential....
We use the framework of Quot schemes to give a novel description of the moduli spaces of stable n-pairs, also interpreted as gauged vortices on a closed Riemann surface  with target Matr×n(C), where ...
The moduli spaces of trigonal curves of odd genus g ≥ 5 are proven to be rational.
We determine the graded composition multiplicity in the symmetric algebra S•(V ) of the natural GLn(q)-module V , or equivalently in the coinvariant algebra of V ,for a large class of irreducibl...
For the first time it is shown that for thin metallic films thickness of which does not exceed thickness of skin – layer, the problem of description of surface plasma oscillations allows analytical so...
In this paper we study relations between the exchange relations in the cluster algebra of type-An, which has the 1-skeleton of the associahedron as its exchange graph, and the complex of triangulation...
The functional determinant of a special second order quantum-mechanical operator is calcu-lated with its zero mode gauged out by the method of the Faddeev-Popov gauge fixing procedure.
In this paper, we let H be the Hecke algebra associated with a finite Coxeter group W and with one-parameter, over the ring of scalars A = Z(q, q−1). With an elementary method, we introduce a ce...
Compared with classical process-based models,the functional-structural plant models provide more efficient tools to explore the impact of changes in plant structures on plant functioning.
Poplar is one of the best fast-growing trees in the world, widely used for windbreak and wood product.Although architecture of poplar has direct impact on its applications.
We describe the closures of locally divergent orbits under the action of tori on Hilbert modular spaces of rank r ≥ 2.In particular, we prove that if D is a maximal R-split torus acting on a real Hilb...
We consider a spatially inhomogeneous sine-Gordon equation with a time-periodic drive, modeling a microwave driven long Josephson junction with phase-shifts.
Given the algebra T of ternions (upper triangular 2 ×2 matrices)over a commutative field F we consider as set of points of a projective line over T the set of all free cyclic submodules of T2. This se...
As a stable analogue of degenerations, we introduce the notion of stable degener-ations for Cohen-Macaulay modules over a Gorenstein local algebra. We shall give several necessary and/or sufficient co...

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