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Solution of kompaneets equation for shock front in the inhomogeneous medium with density changing in a form of the hyperbolic tangent (intermediate region and real time evolution)

Solution of kompaneets equation for shock front in the inhomogeneous medium with density changing in a form of the hyperbolic tangent (intermediate region and real time evolution)

The analytical solution of Kompaneets equation, describing the evolution of the shock front in a planestratified medium for density distribution in a form of the hyperbolic tangent modeling the boundary molecular cloud – interstellar medium was obtained (intermediate region of the shock front). Obta...

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Main Author: Karnaushenko, G. V.
Format: Article
Language:rus
Published: Видавничий дім «Академперіодика» 2013
Online Access:http://rpra-journal.org.ua/index.php/ra/article/view/625
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spelling oai:ri.kharkov.ua:article-6252013-02-08T18:20:01Z Solution of kompaneets equation for shock front in the inhomogeneous medium with density changing in a form of the hyperbolic tangent (intermediate region and real time evolution) Решение уравнения Компанейца для ударного фронта в среде с плотностью, изменяющейся по закону гиперболического тангенса (промежуточная область и эволюция в реальном времени) Karnaushenko, G. V. The analytical solution of Kompaneets equation, describing the evolution of the shock front in a planestratified medium for density distribution in a form of the hyperbolic tangent modeling the boundary molecular cloud – interstellar medium was obtained (intermediate region of the shock front). Obtained solution allows to build the complete solution, restore the whole shock front and investigate its evolution in real time for arbitrary values of parameters: density changes, scale of inhomogeneity and position of the explosion point. Получено аналитическое решение уравнения Компанейца в плоско-стратифицированной среде с плотностью, изменяющейся по закону гиперболического тангенса, моделирующему границу молекулярного облака с межзвездной средой (промежуточная область ударного фронта). Полученное решение позволяет построить полное решение, восстановить весь ударный фронт и исследовать его эволюцию в реальном времени при произвольных значениях трех свободных параметров: перепада плотности, масштаба неоднородности и положения точки взрыва. Видавничий дім «Академперіодика» 2013-02-08 Article Article application/pdf http://rpra-journal.org.ua/index.php/ra/article/view/625 РАДИОФИЗИКА И РАДИОАСТРОНОМИЯ; Vol 17, No 4 (2012); 311 RADIO PHYSICS AND RADIO ASTRONOMY; Vol 17, No 4 (2012); 311 РАДІОФІЗИКА І РАДІОАСТРОНОМІЯ; Vol 17, No 4 (2012); 311 2415-7007 1027-9636 rus http://rpra-journal.org.ua/index.php/ra/article/view/625/745
institution Radio physics and radio astronomy
collection OJS
language rus
format Article
author Karnaushenko, G. V.
spellingShingle Karnaushenko, G. V.
Solution of kompaneets equation for shock front in the inhomogeneous medium with density changing in a form of the hyperbolic tangent (intermediate region and real time evolution)
author_facet Karnaushenko, G. V.
author_sort Karnaushenko, G. V.
title Solution of kompaneets equation for shock front in the inhomogeneous medium with density changing in a form of the hyperbolic tangent (intermediate region and real time evolution)
title_short Solution of kompaneets equation for shock front in the inhomogeneous medium with density changing in a form of the hyperbolic tangent (intermediate region and real time evolution)
title_full Solution of kompaneets equation for shock front in the inhomogeneous medium with density changing in a form of the hyperbolic tangent (intermediate region and real time evolution)
title_fullStr Solution of kompaneets equation for shock front in the inhomogeneous medium with density changing in a form of the hyperbolic tangent (intermediate region and real time evolution)
title_full_unstemmed Solution of kompaneets equation for shock front in the inhomogeneous medium with density changing in a form of the hyperbolic tangent (intermediate region and real time evolution)
title_sort solution of kompaneets equation for shock front in the inhomogeneous medium with density changing in a form of the hyperbolic tangent (intermediate region and real time evolution)
title_alt Решение уравнения Компанейца для ударного фронта в среде с плотностью, изменяющейся по закону гиперболического тангенса (промежуточная область и эволюция в реальном времени)
description The analytical solution of Kompaneets equation, describing the evolution of the shock front in a planestratified medium for density distribution in a form of the hyperbolic tangent modeling the boundary molecular cloud – interstellar medium was obtained (intermediate region of the shock front). Obtained solution allows to build the complete solution, restore the whole shock front and investigate its evolution in real time for arbitrary values of parameters: density changes, scale of inhomogeneity and position of the explosion point.
publisher Видавничий дім «Академперіодика»
publishDate 2013
url http://rpra-journal.org.ua/index.php/ra/article/view/625
work_keys_str_mv AT karnaushenkogv solutionofkompaneetsequationforshockfrontintheinhomogeneousmediumwithdensitychanginginaformofthehyperbolictangentintermediateregionandrealtimeevolution
AT karnaushenkogv rešenieuravneniâkompanejcadlâudarnogofrontavsredesplotnostʹûizmenâûŝejsâpozakonugiperboličeskogotangensapromežutočnaâoblastʹiévolûciâvrealʹnomvremeni
first_indexed 2024-05-26T06:31:57Z
last_indexed 2024-05-26T06:31:57Z
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