Na pr\u00f3xima quarta-feira – 17\/04, \u00e0s 19h no Audit\u00f3rio do Centro Integrar, o Departamento de Matem\u00e1tica e Estat\u00edstica e o Projeto LeMA – Licenciandos em Matem\u00e1tica em A\u00e7\u00e3o promovem o Semin\u00e1rios do COLLICMAT com a presen\u00e7a da egressa do curso de Licenciatura em Matem\u00e1tica da UEPG: a professora Dra. Rosangela F. Sviercoski que atualmente \u00e9 docente na Bulgarian Academy of Sciences. As informa\u00e7\u00f5es deste semin\u00e1rio s\u00e3o apresentadas na sequ\u00eancia:<\/p>\n
T\u00edtulo:<\/strong> A Matem\u00e1tica aplicada aos problemas de escalas m\u00faltiplas em Geoci\u00eancias<\/p>\n Resumo: <\/strong>In this talk, I will discuss shortly my trajectory since graduation from the Department of Mathematics – UEPG, then going to masters in Mathematics and into my PhD in Applied Mathematics. Then, I will go over the project that produced my textbook: \u201cMatem\u00e1tica Aplicada \u00e0s Ci\u00eancias Agr\u00e1rias: An\u00e1lise de Dados e Modelos\u201d, published by the UFV, which is in its 9 th reprinting. In the book, DATA ANALYSIS are used as motivation for teaching Mathematics to agriculture engineering students preparing them for using these tools more effectively towards advance the field of precision agriculture. Then, the main problem of Multiscale in Geosciences systems will be presented describing the computational problem when a heterogeneous media is considered into the flow simulations and the use of Mathematics as a tool to produce computational models for a homogenized equation, instead. That is needed because the major problem in modeling flow in porous media is to create an accurate description of the flow behavior, in spite of the intrinsic heterogeneity of geological formations. The governing equations are characterized by coefficients that vary on scales from laboratory experiments to field simulations. Accurate numerical solution of these equations requires a very finely divided computational mesh, something that is infeasible to consider even with our modern supercomputers. To overcome this problem, one approach is to develop an effective coefficient representing the heterogeneous medium in a simplified description of the medium. Then, the simplified equations are developed from asymptotic analysis and are called homogenized equations, and the procedure of replacing the original systems is called homogenization. In this talk, I will present a classical homogenization technique based on the two-scale asymptotic expansion for the derivation of the upscaled or homogenized equations and\/or systems of flow in porous media. Finally, I will present simulations of homogenized systems describing the coupling between heat and moisture over the soil subsurface and surface applying directly towards more accurate simulations for Climate Change predictions.<\/p>\n","protected":false},"excerpt":{"rendered":" Na pr\u00f3xima quarta-feira – 17\/04, \u00e0s 19h no Audit\u00f3rio do Centro Integrar, o Departamento de Matem\u00e1tica e Estat\u00edstica e o Projeto LeMA – Licenciandos em Matem\u00e1tica em A\u00e7\u00e3o promovem o Semin\u00e1rios do COLLICMAT com a presen\u00e7a da egressa do curso de Licenciatura em Matem\u00e1tica da UEPG: a professora Dra. Rosangela F. Sviercoski que atualmente \u00e9 …<\/p>\n","protected":false},"author":448,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[2],"tags":[],"_links":{"self":[{"href":"https:\/\/www2.uepg.br\/demat\/wp-json\/wp\/v2\/posts\/1227"}],"collection":[{"href":"https:\/\/www2.uepg.br\/demat\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www2.uepg.br\/demat\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www2.uepg.br\/demat\/wp-json\/wp\/v2\/users\/448"}],"replies":[{"embeddable":true,"href":"https:\/\/www2.uepg.br\/demat\/wp-json\/wp\/v2\/comments?post=1227"}],"version-history":[{"count":8,"href":"https:\/\/www2.uepg.br\/demat\/wp-json\/wp\/v2\/posts\/1227\/revisions"}],"predecessor-version":[{"id":1235,"href":"https:\/\/www2.uepg.br\/demat\/wp-json\/wp\/v2\/posts\/1227\/revisions\/1235"}],"wp:attachment":[{"href":"https:\/\/www2.uepg.br\/demat\/wp-json\/wp\/v2\/media?parent=1227"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www2.uepg.br\/demat\/wp-json\/wp\/v2\/categories?post=1227"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www2.uepg.br\/demat\/wp-json\/wp\/v2\/tags?post=1227"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}