Wyniki wyszukiwania - BazTech

1

Diffused mode of vacuum arc in high current interrupters

Zawistowski Z. J.

Przegląd Elektrotechniczny

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2013

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R. 89, nr 7

206--209

EN

Using stationary solutions for electron plasma column in axial external magnetic field the analysis of spreading of initially high concentrated local currents is done. Early stage homogenization of local discharge is considered. It is shown that fast relaxation of electron density profile towards equilibrium is achieved with decreasing of maximum density more than 1000 times.

PL

Wykorzystując stacjonarne rozwiązania dla plazmy elektronowej w zewnętrznym, osiowym polu magnetycznym przeprowadzono analizę rozmywania silnie skoncentrowanych lokalnych wyładowań . Skupiono się na wczesnym stadium procesu homogenizacji. Wykazano, że zachodzi szybka relaksacja do rozkładu równowagowego z równomiernym rozkładem gęstości prądu i maksymalną wartością gęstości zmniejszoną ponad 1000 razy.

2

Invariance of integro-differential equations with moving region of integration

Zawistowski Z. J.

Journal of Technical Physics

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2006

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Vol. 47, no 2

103-112

EN

General criterion of invariance of integro-differential equations under the Lie symmetry group of point transformations is derived. It is a generalization of the previous form of the criterion to the case of a moving range of integration. This is the situation when a region of integration depends on external, with respect to integration, variables what leads to its explicit dependence on a group parameter, so the region of integration moves under symmetry transformations. General case of dependence on independent and dependent variables and their derivatives is considered.

3

Invariant geodetic systems on Lie groups and affine models of internal and collective degrees of freedom

Sławianowski J. J., Kovalchuk V., Sławianowska A., Gołubowska B., Martens A., Rożko E. E., Zawistowski Z. J.

Prace Instytutu Podstawowych Problemów Techniki PAN

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2004

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nr 7

3-164

EN

In some of our earlier papers including rather old ones we have discussed the concept of affinely-rigid body, i.e., continuous, discrete, or simply finite system of material points subject to such constraints that all affine relations between its elements are frozen during any admissible motion. For example, all material straight lines remain straight lines in the course of evolution, and their parallelism is also a constant, non-violated property. Unlike this, the metrical features, like distances and angles, need not be preserved. In other words, such a body is restricted in its behaviour to rigid translations, rigid rotations, and homogeneous deformations. Models of this kind may be successfully applied in a very wide spectrum of physical problems like nuclear dynamics (droplet model of the atomic nuclei), molecular vibrations, macroscopic elasticity (in situations when the length of excited waves is comparable with the size of the body), in the theory of microstructured bodies (micromorphic continua), in geophisics (the theory of the shape of Earth), and even in large-scale astropysics (vibrating stars, vibrating concentrations of the cosmic substratum, like galaxies or concentrations of the interstellar dust).

4

Electron plasma upper hybrid kinetic symmetries

Taranov V. B., Zawistowski Z. J.

Journal of Technical Physics

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2003

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Vol. 44, no 3

303-309

EN

Symmetry group of integro-difFerential equations describing nonlinear upper hybrid waves in magnetized electron plasma is found. It is shown that the extension of the symmetry in the cold plasma limit allows us to build the general solution in this case.

5

On symmetries of integro-differential equations

Zawistowski Z.J.

Bulletin of the Polish Academy of Sciences. Technical Sciences

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1998

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Vol. 46, nr 2

187-197

EN

A new, general method is presented for the determination of Lie symmetry groups of integro-differential equations. The exhibited method is a natural extension of the famous Ovsiannikov method developed for differential equations. The method leads to significant applications for instance to the Vlasov-Maxwell equations, which are integro-differential type irreducible to differential equations.