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Special issue: WUPES’12

Jiřina Vejnarová, Václav Kratochvíl (2014)

Kybernetika

This special issue of the Kybernetika Journal arose from the 9th workshop on uncertainty processing, WUPES’12, held in Mariánské Lázně, Czech Republic, in September 2012. In the selection process for this special issue, we tried to capture the rich variety of the presented methodological approaches. The quality of the selected papers was judged by reviewers in accord with the usual practice of Kybernetika. After a careful selection, 7 papers were included in the special issue. There are, however,...

Special Kaehler manifolds: A survey

Cortés, Vincente (2002)

Proceedings of the 21st Winter School "Geometry and Physics"

This is a survey of recent contributions to the area of special Kähler geometry. A (pseudo-)Kähler manifold is a differentiable manifold endowed with a complex structure and a (pseudo-)Riemannian metric such that i) is orthogonal with respect to the metric ii) is parallel with respect to the Levi Civita connection A special Kähler manifold is a Kähler manifold together with a flat torsionfree connection such that i) where is the Kähler form and ii) is symmetric. A holomorphic...

Spectral theory of invariant operators, sharp inequalities, and representation theory

Branson, Thomas (1997)

Proceedings of the 16th Winter School "Geometry and Physics"

The paper represents the lectures given by the author at the 16th Winter School on Geometry and Physics, Srni, Czech Republic, January 13-20, 1996. He develops in an elegant manner the theory of conformal covariants and the theory of functional determinant which is canonically associated to an elliptic operator on a compact pseudo-Riemannian manifold. The presentation is excellently realized with a lot of details, examples and open problems.

Spherically symmetric solutions to a model for interface motion by interface diffusion

Zhu, Peicheng (2013)

Applications of Mathematics 2013

The existence of spherically symmetric solutions is proved for a new phase-field model that describes the motion of an interface in an elastically deformable solid, here the motion is driven by configurational forces. The model is an elliptic-parabolic coupled system which consists of a linear elasticity system and a non-linear evolution equation of the order parameter. The non-linear equation is non-uniformly parabolic and is of fourth order. One typical application is sintering.

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