{"id":21451,"date":"2024-07-07T21:41:22","date_gmt":"2024-07-07T19:41:22","guid":{"rendered":"https:\/\/www.pmfst.unist.hr\/znanost\/?p=21451"},"modified":"2024-12-06T13:45:55","modified_gmt":"2024-12-06T12:45:55","slug":"grupa-za-matematicku-fiziku","status":"publish","type":"post","link":"https:\/\/www.pmfst.unist.hr\/znanost\/grupa-za-matematicku-fiziku\/","title":{"rendered":"Grupa za matemati\u010dku fiziku"},"content":{"rendered":"<div class=\"wpb-content-wrapper\">[vc_row][vc_column width=&#8221;1\/4&#8243;][mk_title_box color=&#8221;#1e73be&#8221; margin_bottom=&#8221;0&#8243; font_family=&#8221;none&#8221;]<b>Voditeljica grupe<\/b>[\/mk_title_box][mk_employees style=&#8221;boxed&#8221; column=&#8221;1&#8243; employees=&#8221;18768&#8243;][\/vc_column][vc_column width=&#8221;3\/4&#8243;][mk_title_box color=&#8221;#1e73be&#8221; margin_bottom=&#8221;0&#8243; font_family=&#8221;none&#8221;]<b>\u010clanovi grupe<\/b>[\/mk_title_box][mk_custom_box padding_vertical=&#8221;10&#8243;][mk_custom_list style=&#8221;mk-moon-user-3&#8243;]\n<ul>\n<li><span style=\"font-size: 14pt\">\u00a0 <\/span>Maria Concepcion Muriel Patino<\/li>\n<li>\u00a0 \u00a0Adrian Ruiz Servan<\/li>\n<\/ul>\n[\/mk_custom_list][\/mk_custom_box][\/vc_column][\/vc_row][vc_row][vc_column][mk_title_box color=&#8221;#1e73be&#8221; font_family=&#8221;none&#8221;]<strong>Odjel\/Katedra: <\/strong><\/p>\n<p>Odjel za matematiku[\/mk_title_box][vc_column_text css=&#8221;.vc_custom_1520591712979{margin-bottom: 0px !important;}&#8221;]\n<h4><strong>Opis istra\u017eivanja:<\/strong><\/h4>\n<p>Istra\u017eivat \u0107emo primjene diferencijalne geometrije i Liejevih algebri na simetrije diferencijalnih jednad\u017ebi koje su motivirane problemima u fizici. Poznato je da je obi\u010dna diferencijalna jednad\u017eba rje\u0161iva ako njezine infinitezimalne simetrije tvore rje\u0161ivu Liejevu algebru. Istra\u017eivat \u0107emo generalizaciju ovog rezultata na rje\u0161ive strukture definirane na jet prostoru jednad\u017ebe te njihovu primjenu na konstrukciju invarijanti jednad\u017ebe te dobivanje eksplicitnih rje\u0161enja. Posebno \u0107e nas zanimati primjena na Hamiltonove sustave jednad\u017ebi te veza izme\u0111u rje\u0161ivih struktura i Arnold-Liouvilleovog teorema.<\/p>\n[\/vc_column_text][vc_column_text css=&#8221;.vc_custom_1520591959083{margin-bottom: 0px !important;}&#8221;]\n<h4><strong>Partnerski potencijali:<\/strong><\/h4>\n<p>Universidad de Cadiz, \u0160panjolska<\/p>\n[\/vc_column_text][\/vc_column][\/vc_row][vc_row][vc_column][vc_column_text css=&#8221;.vc_custom_1520603890149{margin-bottom: 0px !important;}&#8221;]\n<h4><strong>Financijski i drugi potencijali:<\/strong><\/h4>\n<p>glavarina Sa\u0161a Kre\u0161i\u0107-Juri\u0107<\/p>\n[\/vc_column_text][vc_column_text css=&#8221;.vc_custom_1726611457122{margin-bottom: 0px !important;}&#8221;]<strong>Znanstveni ciljevi<\/strong> kojima se daje doprinos: Z-3, Z-5, Z-10<\/p>\n<p><strong>Mjerljivi pokazatelji<\/strong> kojima se daje doprinos i vrijednost doprinosa: I-Z-04, R-Z-03, R-Z-07, R-Z-10, R-Z-F9, R-Z-F10[\/vc_column_text][\/vc_column][\/vc_row][vc_column][\/vc_column]\n<\/div>","protected":false},"excerpt":{"rendered":"<p>[vc_row][vc_column width=&#8221;1\/4&#8243;][mk_title_box color=&#8221;#1e73be&#8221; margin_bottom=&#8221;0&#8243; font_family=&#8221;none&#8221;]Voditeljica grupe[\/mk_title_box][mk_employees style=&#8221;boxed&#8221; column=&#8221;1&#8243; employees=&#8221;18768&#8243;][\/vc_column][vc_column width=&#8221;3\/4&#8243;][mk_title_box color=&#8221;#1e73be&#8221; margin_bottom=&#8221;0&#8243; font_family=&#8221;none&#8221;]\u010clanovi grupe[\/mk_title_box][mk_custom_box padding_vertical=&#8221;10&#8243;][mk_custom_list style=&#8221;mk-moon-user-3&#8243;] \u00a0 Maria Concepcion Muriel Patino \u00a0 \u00a0Adrian Ruiz Servan [\/mk_custom_list][\/mk_custom_box][\/vc_column][\/vc_row][vc_row][vc_column][mk_title_box color=&#8221;#1e73be&#8221; font_family=&#8221;none&#8221;]Odjel\/Katedra: Odjel za matematiku[\/mk_title_box][vc_column_text css=&#8221;.vc_custom_1520591712979{margin-bottom: 0px !important;}&#8221;] Opis istra\u017eivanja: Istra\u017eivat \u0107emo primjene diferencijalne geometrije i Liejevih algebri na simetrije diferencijalnih jednad\u017ebi koje su motivirane problemima u fizici. Poznato [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"rs_blank_template":"","rs_page_bg_color":"","slide_template_v7":"","footnotes":""},"categories":[158,149],"tags":[],"poredak":[],"class_list":["post-21451","post","type-post","status-publish","format-standard","hentry","category-istrazivacke-grupe-odjela-za-matematiku","category-nove-istrazivacke-grupe"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Grupa za matemati\u010dku fiziku - Znanstvena djelatnost, PMF Split<\/title>\n<meta name=\"robots\" content=\"noindex, follow\" \/>\n<meta property=\"og:locale\" content=\"hr_HR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Grupa za matemati\u010dku fiziku - Znanstvena djelatnost, PMF Split\" \/>\n<meta property=\"og:description\" content=\"[vc_row][vc_column width=&#8221;1\/4&#8243;][mk_title_box color=&#8221;#1e73be&#8221; margin_bottom=&#8221;0&#8243; font_family=&#8221;none&#8221;]Voditeljica grupe[\/mk_title_box][mk_employees style=&#8221;boxed&#8221; column=&#8221;1&#8243; employees=&#8221;18768&#8243;][\/vc_column][vc_column width=&#8221;3\/4&#8243;][mk_title_box color=&#8221;#1e73be&#8221; margin_bottom=&#8221;0&#8243; font_family=&#8221;none&#8221;]\u010clanovi grupe[\/mk_title_box][mk_custom_box padding_vertical=&#8221;10&#8243;][mk_custom_list style=&#8221;mk-moon-user-3&#8243;] \u00a0 Maria Concepcion Muriel Patino \u00a0 \u00a0Adrian Ruiz Servan [\/mk_custom_list][\/mk_custom_box][\/vc_column][\/vc_row][vc_row][vc_column][mk_title_box color=&#8221;#1e73be&#8221; font_family=&#8221;none&#8221;]Odjel\/Katedra: Odjel za matematiku[\/mk_title_box][vc_column_text css=&#8221;.vc_custom_1520591712979{margin-bottom: 0px !important;}&#8221;] Opis istra\u017eivanja: Istra\u017eivat \u0107emo primjene diferencijalne geometrije i Liejevih algebri na simetrije diferencijalnih jednad\u017ebi koje su motivirane problemima u fizici. 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