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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">najo</journal-id><journal-title-group><journal-title xml:lang="en">Nanosystems: Physics, Chemistry, Mathematics</journal-title><trans-title-group xml:lang="ru"><trans-title>Наносистемы: физика, химия, математика</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2220-8054</issn><issn pub-type="epub">2305-7971</issn><publisher><publisher-name>Университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17586/2220-8054-2021-12-5-603-611</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-542</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>PHYSICS</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ФИЗИКА</subject></subj-group></article-categories><title-group><article-title>Modeling the evolution of surface nanobubbles</article-title><trans-title-group xml:lang="ru"><trans-title>Моделирование эволюции поверхностных нанопузырьков</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>Nesterenko</surname><given-names>I. A.</given-names></name><name name-style="western" xml:lang="en"><surname>Nesterenko</surname><given-names>I. A.</given-names></name></name-alternatives><bio xml:lang="en"><p>Kronverkskiy, 49, Saint Petersburg, 197101</p></bio><email xlink:type="simple">nesterok123a@rambler.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>Popov</surname><given-names>I. Y.</given-names></name><name name-style="western" xml:lang="en"><surname>Popov</surname><given-names>I. Y.</given-names></name></name-alternatives><bio xml:lang="en"><p>Kronverkskiy, 49, Saint Petersburg, 197101</p></bio><email xlink:type="simple">popov1955@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="en">TMO University<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2021</year></pub-date><pub-date pub-type="epub"><day>05</day><month>08</month><year>2025</year></pub-date><volume>12</volume><issue>5</issue><fpage>603</fpage><lpage>611</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Nesterenko I.A., Popov I.Y., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Nesterenko I.A., Popov I.Y.</copyright-holder><copyright-holder xml:lang="en">Nesterenko I.A., Popov I.Y.</copyright-holder><license 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://nanojournal.ifmo.ru/jour/article/view/542">https://nanojournal.ifmo.ru/jour/article/view/542</self-uri><abstract><p>Surface nanobubbles are gaseous formations on solid-liquid interfaces. They are interesting in that their lifetime can reach several days, although initially it was assumed only a few nanoseconds. We built a mathematical and computer model of the nanobubble and performed a series of simulations to see how the nanobubble behaves when various external factors change.</p></abstract><trans-abstract xml:lang="ru"><p>Поверхностные нанопузырьки представляют собой газообразные образования на границе твердое тело-жидкость. Они интересны тем, что время их жизни может достигать нескольких дней, хотя изначально предполагалось всего несколько наносекунд. Мы построили математическую и компьютерную модель нанопузырька и провели серию симуляций, чтобы увидеть, как нанопузырек ведет себя при изменении различных внешних факторов.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>поверхностные нанопузырьки</kwd><kwd>молекулярная динамика</kwd><kwd>наносистемы</kwd></kwd-group><kwd-group xml:lang="en"><kwd>surface nanobubbles</kwd><kwd>molecular dynamics</kwd><kwd>nanosystems</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">Dockar D., Borg M. K., Reese J. M. Mechanical stability of surface nanobubbles. Langmuir, 2018, 35, 29, P. 9325–9333.</mixed-citation><mixed-citation xml:lang="en">Dockar D., Borg M. K., Reese J. M. Mechanical stability of surface nanobubbles. 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