1,575 research outputs found
On the geometry of Siegel-Jacobi domains
We study the holomorphic unitary representations of the Jacobi group based on
Siegel-Jacobi domains. Explicit polynomial orthonormal bases of the Fock spaces
based on the Siegel-Jacobi disk are obtained. The scalar holomorphic discrete
series of the Jacobi group for the Siegel-Jacobi disk is constructed and
polynomial orthonormal bases of the representation spaces are given.Comment: 15 pages, Latex, AMS fonts, paper presented at the the International
Conference "Differential Geometry and Dynamical Systems", August 25-28, 2010,
University Politehnica of Bucharest, Romani
An electro-chemo-mechanical analysis of solid oxide fuel cell considering evolution of microstructure in porous electrode using phase-field method
For the numerical simulation of oxygen potential distributions in Solid Oxide
Fuel Cell (SOFC), the time-evolution of the anode microstructure is reflected in the
macroscopic electrical conductivities and the amount of triple-phase boundaries. Once the
oxygen potential distributions are determined, the time-variation of the reduction-induced
strains due to nonstoichiometry of oxide materials is calculated along with the thermal strains.
These strains cause the macroscopic stresses in mutually constrained components. Thus, the
capability of the proposed method is demonstrated in characterizing the aging degradation of
the macroscopic electro-chemo-mechanical behavior of SOFC that is caused by the Nisintering
in cermet microstructures during long-period control
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