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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">phmath</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Государственного университета просвещения. Серия: Физика-Математика</journal-title><trans-title-group xml:lang="en"><trans-title>Bulletin of Federal State University of Education. Series: Physics and Mathematics</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2949-5083</issn><issn pub-type="epub">2949-5067</issn><publisher><publisher-name>Federal State University of Education</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.18384/2949-5067-2026-1-38-45</article-id><article-id custom-type="elpub" pub-id-type="custom">phmath-758</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ФИЗИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>PHYSICS</subject></subj-group></article-categories><title-group><article-title>Обобщение бимодальной модели ударной волны на ударное сжатие смеси газов</article-title><trans-title-group xml:lang="en"><trans-title>Generalization of the bimodal impact wave model to shock compression of gas mixtures</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Кузнецов</surname><given-names>М. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Kuznetsov</surname><given-names>M. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Кузнецов Михаил Михайлович – доктор физико-математических наук,профессор кафедры фундаментальной физики и нанотехнологии</p><p>Москва</p></bio><bio xml:lang="en"><p>Mihail M. Kuznetsov  – Dr. Sci. (Phys.-Math.), Prof., Department of Fundamental Physics and Nanotechnology</p><p>Moscow</p></bio><email xlink:type="simple">kuznets-omn@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Сатюков</surname><given-names>Д. Г.</given-names></name><name name-style="western" xml:lang="en"><surname>Satyukov</surname><given-names>D. G.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Сатюков Дмитрий Геннадьевич – аспирант кафедры фундаментальной физики и нанотехнологии</p><p>Москва</p></bio><bio xml:lang="en"><p>Dmitry G. Satyukov – Postgraduate student, Department of Fundamental Physics and Nanotechnology</p><p>Moscow</p></bio><email xlink:type="simple">dsatyukov@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0001-8556-9340</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Кулешова</surname><given-names>Ю. Д.</given-names></name><name name-style="western" xml:lang="en"><surname>Kuleshova</surname><given-names>Yu. D.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Кулешова Юлия Дмитриевна  – кандидат физико-математических наук, доцент, доцент кафедры высшей алгебры, математического анализа и геометрии</p><p>Москва</p></bio><bio xml:lang="en"><p>Juliya D. Kuleshova – Cand. Sci. (Phys.-Math.), Assoc. Prof., Department of Higher Algebra, Mathematical Analysis and Geometry</p><p>Moscow</p></bio><email xlink:type="simple">juliaybogdanova@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0000-3382-1516</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Владимирова</surname><given-names>Е. Я.</given-names></name><name name-style="western" xml:lang="en"><surname>Vladimirova</surname><given-names>E. Ya.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Владимирова Елена Яковлевна – аспирант кафедры фундаментальной физики и нанотехнологии</p><p>Москва</p></bio><bio xml:lang="en"><p>Elena Ya. Vladimirova – Postgraduate student, Department of Fundamental Physics and Nanotechnology</p><p>Moscow</p></bio><email xlink:type="simple">e.vladimirova7@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-6878-8346</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Кузнецов</surname><given-names>Г. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Kuznetsov</surname><given-names>G. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Кузнецов Глеб Витальевич – аспирант кафедры фундаментальной физики инанотехнологии</p><p>Москва</p></bio><bio xml:lang="en"><p>Gleb V. Kuznetsov – Postgraduate student, Department of Fundamental Physics and Nanotechnology</p><p>Moscow</p></bio><email xlink:type="simple">glebwow7@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Халиков</surname><given-names>Р. Ф.</given-names></name><name name-style="western" xml:lang="en"><surname>Khalikov</surname><given-names>R. F.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Халиков Руслан Фанусович – аспирант кафедры фундаментальной физики и нанотехнологии</p><p>Москва</p></bio><bio xml:lang="en"><p>Ruslan F. Halikov – Postgraduate student, Department of Fundamental Physics and Nanotechnology</p><p>Moscow</p></bio><email xlink:type="simple">rustek95@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Государственный университет просвещения</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Federal State University of Education</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>24</day><month>07</month><year>2026</year></pub-date><volume>0</volume><issue>1</issue><fpage>38</fpage><lpage>45</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Кузнецов М.М., Сатюков Д.Г., Кулешова Ю.Д., Владимирова Е.Я., Кузнецов Г.В., Халиков Р.Ф., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Кузнецов М.М., Сатюков Д.Г., Кулешова Ю.Д., Владимирова Е.Я., Кузнецов Г.В., Халиков Р.Ф.</copyright-holder><copyright-holder xml:lang="en">Kuznetsov M.M., Satyukov D.G., Kuleshova Y.D., Vladimirova E.Y., Kuznetsov G.V., Khalikov R.F.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.physmathmgou.ru/jour/article/view/758">https://www.physmathmgou.ru/jour/article/view/758</self-uri><abstract><sec><title>Цель</title><p>Цель: модифицировать известную аналитическую бимодальную модель ударной волны Тамма – Мотт-Смита на случай ударного сжатия бинарной смеси газов.</p></sec><sec><title>Методы</title><p>Методы. Применялись асимптотические и аппроксимационные методы математической физики.</p></sec><sec><title>Результаты</title><p>Результаты. Разработана аналитическая нелинейная однопараметрическая модель для структуры ударно-сжатой бинарной смеси газов, где, в частности, в качестве параметра используется параметр классического распределения Тамма – Мотт-Смита.</p><p>Теоретическая и практическая значимость. Предложенное обобщение классической бимодальной модели ударной волны на случай бинарной смеси газов сохраняет её простоту и удобство для применения в решении теоретических вопросов, а также в газодинамическом эксперименте.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Aim</title><p>Aim: to modify the well-known analytical bimodal model of the Tamm – Mott-Smith shock wave for the case of shock compression of a binary gas mixture.</p></sec><sec><title>Methods</title><p>Methods. Asymptotic and approximation methods of mathematical physics were used.</p></sec><sec><title>Results</title><p>Results. An analytical nonlinear single-parameter model has been developed for the structure of a shock-compressed binary gas mixture, where, in particular, the classical Tamm-Mott-Smith distribution parameter is used as a parameter.</p></sec><sec><title>Research implications</title><p>Research implications: The proposed generalization of the classical bimodal shock wave model to the case of a binary gas mixture retains its simplicity and convenience for use in solving theoretical problems and in gas-dynamic experiments.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>асимптотическая модель</kwd><kwd>эффект перехлёста</kwd><kwd>рэлеевская смесь</kwd><kwd>неравновесность</kwd></kwd-group><kwd-group xml:lang="en"><kwd>asymptotic model</kwd><kwd>overshoot effect</kwd><kwd>Rayleigh mixture</kwd><kwd>nonequilibrium</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Tanenbaum B. 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