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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="en"><front><journal-meta><journal-id journal-id-type="publisher-id">chemicallytech</journal-id><journal-title-group><journal-title xml:lang="en">Fine Chemical Technologies</journal-title><trans-title-group xml:lang="ru"><trans-title>Тонкие химические технологии</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2410-6593</issn><issn pub-type="epub">2686-7575</issn><publisher><publisher-name>MIREA – Russian Technological University (RTU MIREA).</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">chemicallytech-267</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="en"><subject>THEORETICAL BASES OF CHEMICAL TECHNOLOGY</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ТЕОРЕТИЧЕСКИЕ ОСНОВЫ ХИМИЧЕСКИХ ТЕХНОЛОГИЙ</subject></subj-group></article-categories><title-group><article-title>The interaction of radiation with the gravitational field</article-title><trans-title-group xml:lang="ru"><trans-title>Взаимодействие излучения с гравитационным полем</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>Алексеев</surname><given-names>Б. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Аlexeev</surname><given-names>B. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Кафедра физики, заведующий кафедрой</p></bio><email xlink:type="simple">boris.vlad.alexeev@gmail.com</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>Овчинникова</surname><given-names>И. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Ovchinnikova</surname><given-names>I. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Кафедра физики, доцент</p></bio><email xlink:type="simple">noemail@neicon.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Московский технологический университет (Институт тонких химических технологий), 119571, Москва, пр-т Вернадского, д. 86</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Moscow Technological University (Institute of Fine Chemical Technologies), 86, Vernadskogo pr., Moscow 119571</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2015</year></pub-date><pub-date pub-type="epub"><day>28</day><month>12</month><year>2015</year></pub-date><volume>10</volume><issue>6</issue><fpage>44</fpage><lpage>52</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Аlexeev B.V., Ovchinnikova I.V., 2015</copyright-statement><copyright-year>2015</copyright-year><copyright-holder xml:lang="ru">Алексеев Б.В., Овчинникова И.В.</copyright-holder><copyright-holder xml:lang="en">Аlexeev B.V., Ovchinnikova I.V.</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.finechem-mirea.ru/jour/article/view/267">https://www.finechem-mirea.ru/jour/article/view/267</self-uri><abstract><p>Nonlocal relativistic hydrodynamic equations describing the motion of photons in a gravitational field are derived. Numerical self-similar wave solutions of these equations for one-dimensional motion of photons of the same energy in a longitudinal gravitational field are found. The influence of the gravitational field on the frequency and number of photons per unit volume is considered.</p></abstract><trans-abstract xml:lang="ru"><p>Выведены нелокальные релятивистские гидродинамические уравнения, описывающие движение фотонов в гравитационном поле. Получены численные автомодельные волновые решения этих уравнений для одномерного движения фотонов одинаковой энергии в продольном поле. Показано влияние гравитационного поля на частоту и число фотонов в единице объема.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>нелокальная релятивистская гидродинамика</kwd><kwd>уравнения Алексеева</kwd><kwd>гравитационное поле</kwd><kwd>фотоны.</kwd></kwd-group><kwd-group xml:lang="en"><kwd>non-local relativistic hydrodynamics</kwd><kwd>Alexeev’s equations</kwd><kwd>gravitational field</kwd><kwd>photons.</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">Ландау Л.Д., Лифшиц Е.М. Теория поля. М.: Наука, 1988. 512 с.</mixed-citation><mixed-citation xml:lang="en">Ландау Л.Д., Лифшиц Е.М. Теория поля. М.: Наука, 1988. 512 с.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Логунов А.А., Мествиришвили М.А. Основы релятивистской теории гравитации. М.: Изд-во МГУ, 1986. 308 с.</mixed-citation><mixed-citation xml:lang="en">Логунов А.А., Мествиришвили М.А. Основы релятивистской теории гравитации. М.: Изд-во МГУ, 1986. 308 с.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Зельдович Я.Б., Грищук Л.П. //УФН. 1986. Т. 149. № 4. С. 695-707.</mixed-citation><mixed-citation xml:lang="en">Зельдович Я.Б., Грищук Л.П. //УФН. 1986. Т. 149. № 4. С. 695-707.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Brans C.H., Dicke R.H.//Physical Review. 1961. V. 124. Iss.3. P. 925-935.</mixed-citation><mixed-citation xml:lang="en">Brans C.H., Dicke R.H.//Physical Review. 1961. V. 124. Iss.3. P. 925-935.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Alexeev B.V. Generalized Boltzmann Physical Kinetics. Amsterdam: Elsevier, 2004. 368 р.</mixed-citation><mixed-citation xml:lang="en">Alexeev B.V. Generalized Boltzmann Physical Kinetics. Amsterdam: Elsevier, 2004. 368 р.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Alexeev B.V. Unified Non-local Theory of Transport Processes. Amsterdam: Elsevier, 2015. 644 p.</mixed-citation><mixed-citation xml:lang="en">Alexeev B.V. Unified Non-local Theory of Transport Processes. Amsterdam: Elsevier, 2015. 644 p.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Алексеев Б.В. Нелокальная физика. Нерелятивистская теория. Saarbrücken: Lambert, 2011. 499 c.</mixed-citation><mixed-citation xml:lang="en">Алексеев Б.В. Нелокальная физика. Нерелятивистская теория. Saarbrücken: Lambert, 2011. 499 c.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Алексеев Б.В., Овчинникова И.В. Нелокальная физика. Релятивистская теория. Saarbrücken: Lambert, 2011. 406 c.</mixed-citation><mixed-citation xml:lang="en">Алексеев Б.В., Овчинникова И.В. Нелокальная физика. Релятивистская теория. Saarbrücken: Lambert, 2011. 406 c.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Алексеев Б.В., Овчинникова И.В. // Тонкие химические технологии (Вестник МИТХТ). 2015. Т. 10. № 4. С. 70-78.</mixed-citation><mixed-citation xml:lang="en">Алексеев Б.В., Овчинникова И.В. // Тонкие химические технологии (Вестник МИТХТ). 2015. Т. 10. № 4. С. 70-78.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Cercignani C., Kremer G.M. The Relativistic Boltzmann Equation: Theory and Applications. - Basel, Boston, Berlin: Birkhäuser Verlag, 2002. 384 р.</mixed-citation><mixed-citation xml:lang="en">Cercignani C., Kremer G.M. The Relativistic Boltzmann Equation: Theory and Applications. - Basel, Boston, Berlin: Birkhäuser Verlag, 2002. 384 р.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Яворский Б.М., Детлаф А.А. Справочник по физике. М.: Наука. 1974. 944 с.</mixed-citation><mixed-citation xml:lang="en">Яворский Б.М., Детлаф А.А. Справочник по физике. М.: Наука. 1974. 944 с.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Pound R.V., Rebka Jr. G.A. //Physical Review Lett. 1959. V. 3. Iss.9. P. 439-441.</mixed-citation><mixed-citation xml:lang="en">Pound R.V., Rebka Jr. G.A. //Physical Review Lett. 1959. V. 3. Iss.9. P. 439-441.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Pound R. V., Rebka Jr.G.A. //Physical Review Lett. 1960. V. 4. Iss.7. P. 337-341.</mixed-citation><mixed-citation xml:lang="en">Pound R. V., Rebka Jr.G.A. //Physical Review Lett. 1960. V. 4. Iss.7. P. 337-341.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
