{"id":194,"date":"2022-04-05T14:30:17","date_gmt":"2022-04-05T17:30:17","guid":{"rendered":"https:\/\/www.ufrgs.br\/ppgmap\/?page_id=194"},"modified":"2026-08-27T12:09:22","modified_gmt":"2026-08-27T15:09:22","slug":"linhas-de-pesquisa","status":"publish","type":"page","link":"https:\/\/www.ufrgs.br\/ppgmap\/?page_id=194","title":{"rendered":"Linhas de Pesquisa"},"content":{"rendered":"\r\n<p class=\"has-medium-font-size\" style=\"text-align: center;\"><span style=\"font-size: 18pt; color: #0b0b4f; font-family: arial, helvetica, sans-serif;\"><strong>An\u00e1lise Aplicada<\/strong><\/span><\/p>\r\n<p><span style=\"font-family: arial, helvetica, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<p class=\"wp-block-paragraph\" style=\"text-align: justify;\"><span style=\"font-family: arial, helvetica, sans-serif;\">Equa\u00e7\u00f5es diferenciais ordin\u00e1rias e parciais; An\u00e1lise Harm\u00f4nica e de Fourier; An\u00e1lise Funcional; Sinais; Vibra\u00e7\u00f5es.<\/span><\/p>\r\n<p><span style=\"font-family: arial, helvetica, sans-serif;\">Professores:<\/span><\/p>\r\n<p><span style=\"font-family: arial, helvetica, sans-serif;\">\r\n\r\n\r\n\r\n<\/span><\/p>\r\n<ul class=\"wp-block-list\">\r\n<li><span style=\"font-family: arial, helvetica, sans-serif;\">Lucas da Silva Oliveira<\/span><\/li>\r\n<li><span style=\"font-family: arial, helvetica, sans-serif;\">Sergio Augusto Giardino Filho<\/span><\/li>\r\n<li><span style=\"font-family: arial, helvetica, sans-serif;\">Robert Rodrigues Guterres<\/span><\/li>\r\n<li><span style=\"font-family: arial, helvetica, sans-serif;\">Jo\u00e3o Batista da Paz Carvalho<\/span><\/li>\r\n<li><span style=\"font-family: arial, helvetica, sans-serif;\">Jean Carlo Pech de Moraes<\/span><\/li>\r\n<\/ul>\r\n<p><span style=\"font-family: arial, helvetica, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<h2 class=\"wp-block-heading\">\u00a0<\/h2>\r\n<p class=\"has-medium-font-size\" style=\"text-align: center;\"><span style=\"font-size: 18pt; font-family: arial, helvetica, sans-serif; color: #0b0b4f;\"><strong>Din\u00e2mica de Flu\u00eddos<\/strong><\/span><\/p>\r\n<p><span style=\"font-family: arial, helvetica, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<p class=\"wp-block-paragraph\" style=\"text-align: justify;\"><span style=\"font-family: arial, helvetica, sans-serif;\">Diversas pesquisas t\u00eam sido desenvolvidas em seus aspectos anal\u00edticos e num\u00e9ricos, envolvendo v\u00e1rios modelos para fluxos de fluidos Newtonianos e n\u00e3o Newtonianos e magneto-hidrodin\u00e2mica, entre os quais: &#8211; Aplica\u00e7\u00f5es da teoria qualitativa de sistemas din\u00e2micos de dimens\u00e3o infinita em magnetohidrodin\u00e2mica, fluidos fracamente viscoel\u00e1sticos e tamb\u00e9m em problemas de metereologia baseado em modelos de Lorenz; &#8211; Simula\u00e7\u00e3o num\u00e9rica de fluxos de fluidos compress\u00edveis e n\u00e3o compress\u00edveis, Newtonianos e fracamente viscoel\u00e1sticos, utilizando esquemas de Runge-Kutta de alta precis\u00e3o; &#8211; Utiliza\u00e7\u00e3o de t\u00e9cnicas de multigrid em problemas aeroel\u00e1sticos e implementa\u00e7\u00e3o paralela.<\/span><\/p>\r\n<p><span style=\"font-family: arial, helvetica, sans-serif;\">Professores:<\/span><\/p>\r\n<p><span style=\"font-family: arial, helvetica, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<ul class=\"wp-block-list\">\r\n<li><span style=\"font-family: arial, helvetica, sans-serif;\">\u00c1lvaro Luiz de Bortoli<\/span><\/li>\r\n<li><span style=\"font-family: arial, helvetica, sans-serif;\">Juliana Sartori Ziebell<\/span><\/li>\r\n<li><span style=\"font-family: arial, helvetica, sans-serif;\">Leandro Farina<\/span><\/li>\r\n<li><span style=\"font-family: arial, helvetica, sans-serif;\">Bianca Neves Machado<\/span><\/li>\r\n<li><span style=\"font-family: arial, helvetica, sans-serif;\">Arthur Miranda do Esp\u00edrito Santo<\/span><\/li>\r\n<li><span style=\"font-family: arial, helvetica, sans-serif;\">Felipe Crivellaro Minuzzi<\/span><\/li>\r\n<\/ul>\r\n<p><span style=\"font-family: arial, helvetica, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<h2 class=\"wp-block-heading\">\u00a0<\/h2>\r\n<p class=\"has-medium-font-size\" style=\"text-align: center;\"><span style=\"font-family: arial, helvetica, sans-serif; color: #0b0b4f; font-size: 18pt;\"><strong>Teoria de Transporte de Part\u00edculas<\/strong><\/span><\/p>\r\n<p><span style=\"font-family: arial, helvetica, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<p class=\"wp-block-paragraph\" style=\"text-align: justify;\"><span style=\"font-family: arial, helvetica, sans-serif;\">Modelagem e simula\u00e7\u00e3o em estudos da tomografia \u00f3tica, radioterapia, transfer\u00eancia radiativa, sensoriamento remoto e seguran\u00e7a nuclear est\u00e3o relacionadas ao transporte de part\u00edculas neutras. Nesta \u00e1rea o modelo matem\u00e1tico fundamental \u00e9 a Equa\u00e7\u00e3o linear de Boltzmann ou Equa\u00e7\u00e3o de transporte. M\u00e9todos matem\u00e1ticos espectrais, equa\u00e7\u00f5es integrais, \u00e1lgebra matricial computacional e computa\u00e7\u00e3o cient\u00edfica s\u00e3o algumas das ferramentas matem\u00e1ticas utilizadas e pesquisadas em estudos desta linha para aplica\u00e7\u00f5es nestes problemas de interesse.<\/span><\/p>\r\n<p style=\"text-align: justify;\"><span style=\"font-family: arial, helvetica, sans-serif;\">Professores:<\/span><\/p>\r\n<p><span style=\"font-family: arial, helvetica, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<ul class=\"wp-block-list\">\r\n<li><span style=\"font-family: arial, helvetica, sans-serif;\">Esequia Sauter<\/span><\/li>\r\n<li><span style=\"font-family: arial, helvetica, sans-serif;\">Fabio Souto de Azevedo<\/span><\/li>\r\n<li><span style=\"font-family: arial, helvetica, sans-serif;\">Liliane Basso Barichello<\/span><\/li>\r\n<li><span style=\"font-family: arial, helvetica, sans-serif;\">Pedro Henrique de Almeida Konzen<\/span><\/li>\r\n<li><span style=\"font-family: arial, helvetica, sans-serif;\">Julio Cesar Lombaldo Fernandes<\/span><\/li>\r\n<li><span style=\"font-family: arial, helvetica, sans-serif;\">Cibele Aparecida Ladeia<\/span><\/li>\r\n<\/ul>\r\n<p><span style=\"font-family: arial, helvetica, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<h2 class=\"wp-block-heading\">\u00a0<\/h2>\r\n<p class=\"has-medium-font-size\" style=\"text-align: center;\"><span style=\"font-size: 18pt; font-family: arial, helvetica, sans-serif; color: #0b0b4f;\"><strong>Sistemas Din\u00e2micos Aplicados<\/strong><\/span><\/p>\r\n<p><span style=\"font-family: arial, helvetica, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<p class=\"wp-block-paragraph\" style=\"text-align: justify;\"><span style=\"font-family: arial, helvetica, sans-serif;\">Sistemas Din\u00e2micos Aplicados compreende o estudo de sistemas din\u00e2micos n\u00e3o lineares sob abordagens te\u00f3ricas e computacionais. A linha inclui aplica\u00e7\u00f5es em Biomatem\u00e1tica, com \u00eanfase em modelos epidemiol\u00f3gicos e em din\u00e2mica de popula\u00e7\u00f5es; em Sistema e Controle, envolvendo a modelagem, an\u00e1lise e controle de sistemas descritos por equa\u00e7\u00f5es diferenciais; e em Jogos Evolucion\u00e1rios, com foco em modelos em popula\u00e7\u00f5es estruturadas e em redes.<\/span><\/p>\r\n<p><span style=\"font-family: arial, helvetica, sans-serif;\">Professores:<\/span><\/p>\r\n<p><span style=\"font-family: arial, helvetica, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<ul class=\"wp-block-list\">\r\n<li><span style=\"font-family: arial, helvetica, sans-serif;\">Jean Carlo Pech de Moraes<\/span><\/li>\r\n<li><span style=\"font-family: arial, helvetica, sans-serif;\">Matheus Correia dos Santos<\/span><\/li>\r\n<li><span style=\"font-family: arial, helvetica, sans-serif;\">Diego Eckhard<\/span><\/li>\r\n<\/ul>\r\n<p><span style=\"font-family: arial, helvetica, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<h2 class=\"wp-block-heading\">\u00a0<\/h2>\r\n<p class=\"has-medium-font-size\" style=\"text-align: center;\"><span style=\"font-family: arial, helvetica, sans-serif; color: #0b0b4f; font-size: 18pt;\"><strong>Matem\u00e1tica Discreta<\/strong><\/span><\/p>\r\n<p><span style=\"font-family: arial, helvetica, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<p class=\"wp-block-paragraph\"><span style=\"font-family: arial, helvetica, sans-serif;\">Professores:<\/span><\/p>\r\n<p><span style=\"font-family: arial, helvetica, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<ul class=\"wp-block-list\">\r\n<li><span style=\"font-family: arial, helvetica, sans-serif;\">Carlos Hoppen<\/span><\/li>\r\n<li><span style=\"font-family: arial, helvetica, sans-serif;\">Luiz Em\u00edlio Allem<\/span><\/li>\r\n<li><span style=\"font-family: arial, helvetica, sans-serif;\">Rodrigo Orsini Braga<\/span><\/li>\r\n<li><span style=\"font-family: arial, helvetica, sans-serif;\">Vilmar Trevisan<\/span><\/li>\r\n<li><span style=\"font-family: arial, helvetica, sans-serif;\">Virg\u00ednia Maria Rodrigues<\/span><\/li>\r\n<li><span style=\"font-family: arial, helvetica, sans-serif;\">Juliane Capaverde<\/span><\/li>\r\n<li><span style=\"font-family: arial, helvetica, sans-serif;\">Elismar da Rosa Oliveira<\/span><\/li>\r\n<\/ul>\r\n","protected":false},"excerpt":{"rendered":"<p>An\u00e1lise Aplicada Equa\u00e7\u00f5es diferenciais ordin\u00e1rias e parciais; An\u00e1lise Harm\u00f4nica e de Fourier; An\u00e1lise Funcional; Sinais; Vibra\u00e7\u00f5es. Professores: Lucas da Silva Oliveira Sergio Augusto Giardino Filho &hellip; <\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-194","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.ufrgs.br\/ppgmap\/index.php?rest_route=\/wp\/v2\/pages\/194","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ufrgs.br\/ppgmap\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.ufrgs.br\/ppgmap\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.ufrgs.br\/ppgmap\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ufrgs.br\/ppgmap\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=194"}],"version-history":[{"count":15,"href":"https:\/\/www.ufrgs.br\/ppgmap\/index.php?rest_route=\/wp\/v2\/pages\/194\/revisions"}],"predecessor-version":[{"id":2348,"href":"https:\/\/www.ufrgs.br\/ppgmap\/index.php?rest_route=\/wp\/v2\/pages\/194\/revisions\/2348"}],"wp:attachment":[{"href":"https:\/\/www.ufrgs.br\/ppgmap\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=194"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}