Generic properties of periodic reflecting rays and the Poisson relation
Luchezar N. Stojanov (1989)
Banach Center Publications
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Luchezar N. Stojanov (1989)
Banach Center Publications
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Bruce Berndt, Lowell Schoenfeld (1980)
Acta Arithmetica
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Vaisman, I. (1999)
Acta Mathematica Universitatis Comenianae. New Series
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Dong Li, Yifei Wu (2014)
Journal of the European Mathematical Society
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The Euler-Poisson system is a fundamental two-fluid model to describe the dynamics of the plasma consisting of compressible electrons and a uniform ion background. In the 3D case Guo [7] first constructed a global smooth irrotational solution by using the dispersive Klein-Gordon effect. It has been conjectured that same results should hold in the two-dimensional case. In our recent work [13], we proved the existence of a family of smooth solutions by constructing the wave operators for...
Alex V. Kontorovich, Steven J. Miller (2005)
Acta Arithmetica
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Dimitri Gurevich, Pavel Saponov (2011)
Banach Center Publications
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We consider Poisson pencils, each generated by a linear Poisson-Lie bracket and a quadratic Poisson bracket corresponding to a so-called Reflection Equation Algebra. We show that any bracket from such a Poisson pencil (and consequently, the whole pencil) can be restricted to any generic leaf of the Poisson-Lie bracket. We realize a quantization of these Poisson pencils (restricted or not) in the framework of braided affine geometry. Also, we introduce super-analogs of all these Poisson...
Mikami, Kentaro (1999)
Lobachevskii Journal of Mathematics
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N. Crouseilles, M. Mehrenberger, F. Vecil (2011)
ESAIM: Proceedings
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We present a discontinuous Galerkin scheme for the numerical approximation of the one-dimensional periodic Vlasov-Poisson equation. The scheme is based on a Galerkin-characteristics method in which the distribution function is projected onto a space of discontinuous functions. We present comparisons with a semi-Lagrangian method to emphasize the good behavior of this scheme when applied to Vlasov-Poisson test cases.