{"id":25606,"date":"2022-01-21T13:05:30","date_gmt":"2022-01-21T12:05:30","guid":{"rendered":"https:\/\/cio.umh.es\/?p=25606"},"modified":"2022-01-21T13:05:30","modified_gmt":"2022-01-21T12:05:30","slug":"moreira-e-m-valero-j-2022-structure-of-the-attractor-for-a-non-local-chafee-infante-problem-journal-of-mathematical-analysis-and-applications-507-2125801","status":"publish","type":"post","link":"https:\/\/cio.umh.es\/en\/2022\/01\/21\/moreira-e-m-valero-j-2022-structure-of-the-attractor-for-a-non-local-chafee-infante-problem-journal-of-mathematical-analysis-and-applications-507-2125801\/","title":{"rendered":"Moreira, E.M., Valero, J. (2022) \u00abStructure of the attractor for a non-local Chafee-Infante problem\u00bb, Journal of Mathematical Analysis and Applications, 507 (2):125801"},"content":{"rendered":"<p class=\"AuthorHeader-module__syvlN margin-size-4-t\" style=\"text-align: justify\"><strong>Estefani M. Moreira (Instituto de Ci\u00eancias Matem\u00e1ticas e de Computa\u00e7ao, Universidade de S\u00e3o Paulo)\u00a0 and Jos\u00e9 Valero (Centro de Investigaci\u00f3n Operativa, Universidad Miguel Hernandez de Elche)<\/strong><\/p>\n<p class=\"AuthorHeader-module__syvlN margin-size-4-t\" style=\"text-align: justify\"><strong>Abstract:<\/strong> In this article, we study the structure of the global attractor for a non-local one-dimensional quasilinear problem. The strong relation of our problem with a non-local version of the Chafee-Infante problem allows us to describe the structure of its attractor. For that, we made use of the Conley index and the connection matrix theories in order to find geometric information such as the existence of heteroclinic connections between the equilibria. In this way, the structure of the attractor is completely described.<\/p>","protected":false},"excerpt":{"rendered":"<p>Estefani M. Moreira (Instituto de Ci\u00eancias Matem\u00e1ticas e de Computa\u00e7ao, Universidade de S\u00e3o Paulo)\u00a0 and Jos\u00e9 Valero (Centro de Investigaci\u00f3n Operativa, Universidad Miguel Hernandez de Elche)<br \/>\nAbstract: In this article, we study the structure of the global attractor for a non-local one-dimensional quasilinear problem. The strong relation of our problem with a non-local version of the [&#8230;]<\/p>","protected":false},"author":5675,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_links_to":"","_links_to_target":""},"categories":[369888],"tags":[],"_links":{"self":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts\/25606"}],"collection":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/users\/5675"}],"replies":[{"embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/comments?post=25606"}],"version-history":[{"count":0,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts\/25606\/revisions"}],"wp:attachment":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/media?parent=25606"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/categories?post=25606"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/tags?post=25606"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}