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<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Archiving and Interchange DTD with OASIS Tables with MathML3 v1.4 20241031//EN" "https://jats.nlm.nih.gov/archiving/1.4/JATS-archive-oasis-article1-4-mathml3.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" dtd-version="1.4" article-type="research-article" xml:lang="en"><front><journal-meta><journal-title-group><journal-title xml:lang="ru">Математическая физика и компьютерное моделирование</journal-title></journal-title-group><issn publication-format="print">2587-6325</issn><issn publication-format="electronic">2587-6902</issn></journal-meta><article-meta><article-id pub-id-type="doi">10.15688/mpcm.jvolsu.2023.3.7</article-id><article-categories><subj-group><subject>Other</subject></subj-group></article-categories><title-group><article-title xml:lang="ru">Моделирование двугорбых кривых вращения газа в осесимметричном гравитационном поле галактик</article-title><trans-title-group xml:lang="en"><trans-title>Modeling a Double-Hump Gas Rotation Curves in the Axisymmetric Gravitational Field of Galaxies</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="ru"><surname>Пейч</surname><given-names>Максим Максимович</given-names></name><name xml:lang="en"><surname>Pejch</surname><given-names>Maxim M.</given-names></name></name-alternatives><xref ref-type="aff" rid="aff1"/><email>maxpejch@mail.ru</email><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0000-5022-8634</contrib-id></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="ru"><surname>Морозов</surname><given-names>Александр Гавриилович</given-names></name><name xml:lang="en"><surname>Morozov</surname><given-names>Alexander G.</given-names></name></name-alternatives><xref ref-type="aff" rid="aff2"/><email>moralegav@gmail.com</email><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0002-4213-9740</contrib-id></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="ru"><surname>Хоперсков</surname><given-names>Александр Валентинович</given-names></name></name-alternatives><xref ref-type="aff" rid="aff2"/><email>khoperskov@volsu.ru</email><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-0149-7947</contrib-id></contrib><aff-alternatives id="aff1"><aff xml:lang="en"><institution>Volgograd State University ( Volgograd, Russian Federation)</institution></aff><aff xml:lang="ru"><institution>Волгоградский государственный университет (Волгоград, Российская Федерация)</institution></aff></aff-alternatives><aff-alternatives id="aff2"><aff xml:lang="en"><institution>Volgograd State University (Volgograd, Russian Federation)</institution></aff><aff xml:lang="ru"><institution>Волгоградский государственный университет (Волгоград, Российская Федерация)</institution></aff></aff-alternatives></contrib-group><pub-date pub-type="epub" iso-8601-date="2023-10-24"><day>24</day><month>10</month><year>2023</year></pub-date><volume>26</volume><issue>3</issue><fpage>92</fpage><lpage>104</lpage><history><date date-type="received" iso-8601-date="2023-07-28"><day>28</day><month>07</month><year>2023</year></date><date date-type="accepted" iso-8601-date="2023-08-20"><day>20</day><month>08</month><year>2023</year></date></history><permissions><license xlink:href="https://creativecommons.org/licenses/by-nc-nd/4.0/" xlink:title="CC BY-NC-ND 4.0"><ali:license_ref>https://creativecommons.org/licenses/by-nc-nd/4.0/</ali:license_ref><license-p xml:lang="ru">CC BY-NC-ND 4.0</license-p></license></permissions><abstract xml:lang="ru"><p>Представлены результаты построения моделей галактических дисков с так называемыми двугорбыми кривыми вращения газа, когда имеются зоны резкого изменения круговой скорости. Такие модели допускают развитие сдвиговых гидродинамических неустойчивостей, в частности, центробежной неустойчивости и неустойчивости типа акустического резонанса. В построенных моделях внутренний пик скорости вращения связан с наличием околоядерного звездного диска. Изучено влияние параметров модели как внутреннего, так и основного экспоненциального звездного диска на радиальные профили круговой скорости. Развит численный метод, обеспечивающий построение двугорбых кривых вращения с произвольными распределениями поверхностной плотности звездного диска. Сформирована выборка галактик с кривыми вращения, содержащими области резких отрицательных градиентов. Модели этих объектов предназначены для проведения вычислительных экспериментов, направленных на изучение образования спиральных структур вследствие развития гидродинамической неустойчивости. Мы выбрали объекты, кривые вращения которых в центральной области не могут быть смоделированы сфероидальными галактическими балджами, что указывает на наличие особых компонент в составных моделях звездного диска, похожих на околоядерные диски.</p></abstract><abstract xml:lang="en" abstract-type="summary"><p>We present the results of constructing models of galactic disks with gas rotation curves that have zones of sharp changes in circular velocity. Such models allow the development of shear hydrodynamic instabilities, in particular centrifugal instability and acoustic resonance-type instability. A sample of galaxies with rotation curves containing regions of sharp negative gradients has been formed. Models of these objects are intended for carrying out computational experiments aimed at studying the generation of spiral patterns due to the development of hydrodynamic instability. We have identified objects whose rotation curves in the central region cannot be modeled by the spheroidal bulge subsystem, which indicates the presence of special components in composite models of the stellar disk.</p></abstract><kwd-group xml:lang="ru"><kwd>галактики</kwd><kwd>кривые вращения</kwd><kwd>гидродинамические неустойчивости</kwd><kwd>декомпозиция</kwd><kwd>круговая скорость</kwd></kwd-group><kwd-group xml:lang="en"><kwd>galaxies</kwd><kwd>rotation curves</kwd><kwd>hydrodynamic instabilities</kwd><kwd>decomposition</kwd><kwd>circular velocity</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Данная работа выполнена при поддержке Российского научного фонда (грант № 23-71-00016, https://rscf.ru/project/23-71-00016/).</funding-statement><funding-statement xml:lang="en">This work is supported by the Russian Science Foundation (grant no. 23-71-00016, https://rscf.ru/project/23-71-00016/).</funding-statement></funding-group></article-meta></front><back><ref-list><ref id="ref1"><mixed-citation publication-type="other" xml:lang="en">Afanas'ev V.L., Burenkov A.N., Zasov A.V., Sil'chenko O.K. 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