{"id":12444,"date":"2025-11-13T10:47:14","date_gmt":"2025-11-13T15:47:14","guid":{"rendered":"https:\/\/home.hamptonu.edu\/science\/?page_id=12444"},"modified":"2025-11-24T08:10:27","modified_gmt":"2025-11-24T13:10:27","slug":"ranis-ibragimov","status":"publish","type":"page","link":"https:\/\/home.hamptonu.edu\/science\/ranis-ibragimov\/","title":{"rendered":"Dr. Ranis Ibragimov"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"12444\" class=\"elementor elementor-12444\" data-elementor-post-type=\"page\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-c311bd8 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"c311bd8\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-7eb883a\" data-id=\"7eb883a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3804e90 elementor-widget elementor-widget-image\" data-id=\"3804e90\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"234\" height=\"240\" src=\"https:\/\/home.hamptonu.edu\/science\/wp-content\/uploads\/sites\/47\/2025\/11\/6.-Ibragimov-Ranis_tx.jpg\" class=\"attachment-1536x1536 size-1536x1536 wp-image-12273\" alt=\"\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-42041a0 elementor-widget elementor-widget-heading\" data-id=\"42041a0\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><b>Contact<\/b><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-82d253f elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"82d253f\" data-element_type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-47f7810 elementor-widget elementor-widget-text-editor\" data-id=\"47f7810\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h6><b>E-mail:\u00a0<\/b><br \/><a href=\"mailto:ranis.ibragimov@hamptonu.edu\">ranis.ibragimov@hamptonu.edu<\/a><\/h6><p><b>Location: <br \/><\/b>Science and Technology Building 246<\/p><p><b>Phone:<br \/><\/b>757-728-4442<\/p><div><a href=\"https:\/\/home.hamptonu.edu\/science\/math-staff\/\">\u00abMath Faculty List<\/a><\/div><div>\u00a0<\/div><div>\u00a0<\/div>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-dcf9ea3\" data-id=\"dcf9ea3\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-bd230a4 elementor-widget elementor-widget-heading\" data-id=\"bd230a4\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><b>Dr. Ranis Ibragimov<\/b><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-64cba80 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"64cba80\" data-element_type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5248851 elementor-widget__width-initial elementor-widget elementor-widget-text-editor\" data-id=\"5248851\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<ul><li><strong>Position: <\/strong>Associate Professor of Mathematics<br \/><br \/><\/li><li><strong><strong>Educational background: <br \/><\/strong><\/strong>B.Sc. Novosibirsk State University, Russia<br \/>M.Sc. Novosibirsk State University, Russia<br \/>Ph.D. University of Waterloo, ONT, Canada.<br \/><br \/><\/li><li><strong><strong>Research interests: <\/strong><\/strong>My research interests broadly lie in the applications of Mathematical Modeling (including Differential Equations, Analytic and Numerical Methods, Perturbation theory, Bifurcation phenomena, Asymptotic Methods, Data Analysis, and Statistics) to industrial, engineering, and environmental sciences. As a fluid dynamicist, I have worked on geophysical and environmental flows within a complex geometry. My research is numerically oriented and theoretical in nature.<br \/><br \/><\/li><li><strong>Selected publications<br \/><\/strong><\/li><li>Ibragimov, R.N., Blake, E, \u201cFinding the Fibonacci spiral patterns in atmospheric equatorial waves\u201d, Journal<em> of Applied Mathematics and Physics, 10 (12), (2022)<\/em><\/li><li><span style=\"font-size: 16px;\">Ibragimov, R.N., Mongrian, L., Stimmel, B, Trozkaya, O, \u201cVisualization of exact invariant solutions\u00a0\u00a0\u00a0\u00a0 associated with atmospheric waves in a thin circular layer\u201d,\u00a0<\/span><em style=\"font-size: 16px;\">Journal of Applied Mathematics and Physics, 9 (5), (2021)<\/em><\/li><li><span style=\"font-size: 16px;\">Ibragimov, R.N., Vatchev, V., \u201cCorrelation between no-slip and slip boundary conditions associated with a two-dimensional Navier-Stokes flows in a plane diffuser\u201d, Journal<\/span><em style=\"font-size: 16px;\">of Mathematical Sciences:\u00a0 Advances and Applications<\/em><span style=\"font-size: 16px;\">,\u00a0<\/span><em style=\"font-size: 16px;\">65, 1-23, (2021)<\/em><span style=\"font-size: 16px;\">\u00a0<\/span><\/li><li><span style=\"font-size: 16px;\">Ibragimov, R.N., \u201cEffects of rotation on planetary internal gravity waves initiated by the stratospheric \u00a0\u00a0\u00a0\u00a0 polar vortex\u201d,\u00a0<\/span><em style=\"font-size: 16px;\">International Journal of Non-Linear Mechanics, 126, 103588, (2020)<\/em><\/li><li><span style=\"font-size: 16px;\">Ibragimov, R.N., Arndt, N., Lin, G., et al. \u201cEnergy spectrum of linear internal wave filed in the vicinity of continental slope\u201d,\u00a0<\/span><em style=\"font-size: 16px;\">Journal of Applied Mathematics and Physics, to appear (2020)<\/em><\/li><li><span style=\"font-size: 16px;\">Ibragimov, R.N., Mohazzabi, P., Roembke, R., Van Ee, J., \u201cAsymptotic stability of the polar vortex perturbed by harmonic waves describing atmospheric gravity waves circulating in an equatorial plane of a spherical planet\u201d, to appear in\u00a0<\/span><em style=\"font-size: 16px;\">Mathematical Modeling of Natural Phenomena, 13 (4), (2018)<\/em><\/li><li><span style=\"font-size: 16px;\">Ibragimov, N.H., Ibragimov, R.N., Kovalev, V.F., \u201cInvariant solutions and shock atmospheric waves in a thin circular layer\u201d, Mathematical<\/span><em style=\"font-size: 16px;\">Modeling of Natural Phenomena, 13 (19), pp. 14-35, (2018)\u00a0<\/em><\/li><li><span style=\"font-size: 16px;\">Ibragimov, R.N., Bakhtiyarov, S.I., Zweigart, P., \u201cCorrelation between three-dimensional sine sweep dynamics vibration testing and resonantly interacting internal gravity wave field\u201d,\u00a0<\/span><em style=\"font-size: 16px;\">Mathematical Modeling of Natural Phenomena, 12 (1), pp. 36-72, (2017)<\/em><\/li><li><span style=\"font-size: 16px;\">Ibragimov, R.N., Lejmbach, K., \u201cMathematical modelling describing effects of corrugation scales on efficiency of mixing in the vicinity of ocean\u2019s deep Continental slope\u201d,\u00a0<\/span><em style=\"font-size: 16px;\">Journal of Aquaculture &amp; Marine Biology, 5 (4): 00128, (2017)<\/em><\/li><li><span style=\"font-size: 16px;\">Ibragimov, R.N., \u201cMathematical modeling of equatorial atmospheric waves similar to those traveling along a hexagon-shaped path at the north pole of Saturn\u201d,\u00a0<\/span><em style=\"font-size: 16px;\">Mathematical Modeling of Natural \u00a0 Phenomena, 12 (3), pp.146-156, (2017)<\/em><\/li><li><span style=\"font-size: 16px;\">Ibragimov, R.N., Ibragimov, N.H., Mohazzabi, P., \u201cApproximate and invariant solutions of a \u00a0 mathematical model describing a simple one-dimensional blood flow of variable density\u201d,\u00a0<\/span><em style=\"font-size: 16px;\">Journal of Applied Mathematics and Physics, 5, pp. 1335-1354, (2017)<\/em><\/li><li><span style=\"font-size: 16px;\">Ibragimov, R.N., Lin, G., \u201cNonlinear analysis of perturbed rotating whirlpools in the ocean and \u00a0\u00a0\u00a0\u00a0 b atmosphere\u201d,\u00a0<\/span><em style=\"font-size: 16px;\">Mathematical Modeling of Natural Phenomena, 12 (1), pp. 9-29,\u00a0(2017)<\/em><\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Contact E-mail:\u00a0ranis.ibragimov@hamptonu.edu Location: Science and Technology Building 246 Phone:757-728-4442 \u00abMath Faculty List\u00a0\u00a0 Dr. Ranis Ibragimov Position: Associate Professor of Mathematics Educational background: B.Sc. Novosibirsk State University, RussiaM.Sc. Novosibirsk State University, RussiaPh.D. University of Waterloo, ONT, Canada. Research interests: My research interests broadly lie in the applications of Mathematical Modeling (including Differential Equations, Analytic and Numerical [&hellip;]<\/p>\n","protected":false},"author":205,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"site-sidebar-layout":"no-sidebar","site-content-layout":"page-builder","ast-site-content-layout":"full-width-container","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"disabled","ast-breadcrumbs-content":"","ast-featured-img":"disabled","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"_mc_calendar":[],"footnotes":""},"class_list":["post-12444","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Dr. Ranis Ibragimov - School Of Science<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/home.hamptonu.edu\/science\/ranis-ibragimov\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Dr. Ranis Ibragimov - School Of Science\" \/>\n<meta property=\"og:description\" content=\"Contact E-mail:\u00a0ranis.ibragimov@hamptonu.edu Location: Science and Technology Building 246 Phone:757-728-4442 \u00abMath Faculty List\u00a0\u00a0 Dr. Ranis Ibragimov Position: Associate Professor of Mathematics Educational background: B.Sc. Novosibirsk State University, RussiaM.Sc. Novosibirsk State University, RussiaPh.D. University of Waterloo, ONT, Canada. 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Novosibirsk State University, RussiaM.Sc. Novosibirsk State University, RussiaPh.D. University of Waterloo, ONT, Canada. Research interests: My research interests broadly lie in the applications of Mathematical Modeling (including Differential Equations, Analytic and Numerical [&hellip;]","og_url":"https:\/\/home.hamptonu.edu\/science\/ranis-ibragimov\/","og_site_name":"School Of Science","article_modified_time":"2025-11-24T13:10:27+00:00","og_image":[{"width":234,"height":240,"url":"https:\/\/home.hamptonu.edu\/science\/wp-content\/uploads\/sites\/47\/2025\/11\/6.-Ibragimov-Ranis_tx.jpg","type":"image\/jpeg"}],"twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"3 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/home.hamptonu.edu\/science\/ranis-ibragimov\/","url":"https:\/\/home.hamptonu.edu\/science\/ranis-ibragimov\/","name":"Dr. Ranis Ibragimov - School Of Science","isPartOf":{"@id":"https:\/\/home.hamptonu.edu\/science\/#website"},"primaryImageOfPage":{"@id":"https:\/\/home.hamptonu.edu\/science\/ranis-ibragimov\/#primaryimage"},"image":{"@id":"https:\/\/home.hamptonu.edu\/science\/ranis-ibragimov\/#primaryimage"},"thumbnailUrl":"http:\/\/home.hamptonu.edu\/science\/wp-content\/uploads\/sites\/47\/2025\/11\/6.-Ibragimov-Ranis_tx.jpg","datePublished":"2025-11-13T15:47:14+00:00","dateModified":"2025-11-24T13:10:27+00:00","breadcrumb":{"@id":"https:\/\/home.hamptonu.edu\/science\/ranis-ibragimov\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/home.hamptonu.edu\/science\/ranis-ibragimov\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/home.hamptonu.edu\/science\/ranis-ibragimov\/#primaryimage","url":"http:\/\/home.hamptonu.edu\/science\/wp-content\/uploads\/sites\/47\/2025\/11\/6.-Ibragimov-Ranis_tx.jpg","contentUrl":"http:\/\/home.hamptonu.edu\/science\/wp-content\/uploads\/sites\/47\/2025\/11\/6.-Ibragimov-Ranis_tx.jpg"},{"@type":"BreadcrumbList","@id":"https:\/\/home.hamptonu.edu\/science\/ranis-ibragimov\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/home.hamptonu.edu\/science\/"},{"@type":"ListItem","position":2,"name":"Dr. Ranis Ibragimov"}]},{"@type":"WebSite","@id":"https:\/\/home.hamptonu.edu\/science\/#website","url":"https:\/\/home.hamptonu.edu\/science\/","name":"School Of Science","description":"School of Science","publisher":{"@id":"https:\/\/home.hamptonu.edu\/science\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/home.hamptonu.edu\/science\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/home.hamptonu.edu\/science\/#organization","name":"School Of Science","url":"https:\/\/home.hamptonu.edu\/science\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/home.hamptonu.edu\/science\/#\/schema\/logo\/image\/","url":"https:\/\/home.hamptonu.edu\/science\/wp-content\/uploads\/sites\/47\/2025\/03\/cropped-cropped-cropped-school_of_science_rgb_1054x250.png","contentUrl":"https:\/\/home.hamptonu.edu\/science\/wp-content\/uploads\/sites\/47\/2025\/03\/cropped-cropped-cropped-school_of_science_rgb_1054x250.png","width":1052,"height":248,"caption":"School Of Science"},"image":{"@id":"https:\/\/home.hamptonu.edu\/science\/#\/schema\/logo\/image\/"}}]}},"_links":{"self":[{"href":"https:\/\/home.hamptonu.edu\/science\/wp-json\/wp\/v2\/pages\/12444","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/home.hamptonu.edu\/science\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/home.hamptonu.edu\/science\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/home.hamptonu.edu\/science\/wp-json\/wp\/v2\/users\/205"}],"replies":[{"embeddable":true,"href":"https:\/\/home.hamptonu.edu\/science\/wp-json\/wp\/v2\/comments?post=12444"}],"version-history":[{"count":13,"href":"https:\/\/home.hamptonu.edu\/science\/wp-json\/wp\/v2\/pages\/12444\/revisions"}],"predecessor-version":[{"id":12842,"href":"https:\/\/home.hamptonu.edu\/science\/wp-json\/wp\/v2\/pages\/12444\/revisions\/12842"}],"wp:attachment":[{"href":"https:\/\/home.hamptonu.edu\/science\/wp-json\/wp\/v2\/media?parent=12444"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}