http://dspace.nbuv.gov.ua:80/handle/123456789/106658 2026-04-19T00:30:21Z 2026-04-19T00:30:21Z http://dspace.nbuv.gov.ua:80/handle/123456789/106685 2016-10-03T00:02:16Z 2011-01-01T00:00:00Z

80 лет Юрию Ильичу Любичу

2011-01-01T00:00:00Z Giordano, P. http://dspace.nbuv.gov.ua:80/handle/123456789/106684 2016-10-03T00:02:18Z 2011-01-01T00:00:00Z

Infinite Dimensional Spaces and Cartesian Closedness Giordano, P. Infinite dimensional spaces frequently appear in physics; there are several approaches to obtain a good categorical framework for this type of space, and cartesian closedness of some category, embedding smooth manifolds, is one of the most requested condition. In the first part of the paper, we start from the failures presented by the classical Banach manifolds approach and we will review the most studied approaches focusing on cartesian closedness: the convenient setting, diffeology and synthetic differential geometry. In the second part of the paper, we present a general settings to obtain cartesian closedness. Using this approach, we can also easily obtain the possibility to extend manifolds using nilpotent infinitesimal points, without any need to have a background in formal logic.

2011-01-01T00:00:00Z Gordevskyy, V.D. Sazonova, E.S. http://dspace.nbuv.gov.ua:80/handle/123456789/106683 2016-10-03T00:02:17Z 2011-01-01T00:00:00Z

Asymmetrical Bimodal Distributions with Screw Modes Gordevskyy, V.D.; Sazonova, E.S. The Boltzmann equation for the model of hard spheres is considered. Approximate bimodal solutions for the Boltzmann equation are built for the case when the Maxwellian modes are screws with di®erent degrees of infinitesimality of angular velocities. Some su±cient conditions for the minimization of the uniform-integral remainder between the sides of the Boltzmann equation are obtained.

2011-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/106682 2016-10-03T00:02:17Z 2011-01-01T00:00:00Z

Титульная страница и содержание

2011-01-01T00:00:00Z