{"id":4615,"date":"2022-05-04T10:04:13","date_gmt":"2022-05-04T08:04:13","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/from-quantization-of-measures-to-weighted-ultrafast-diffusion-equations-mikaela-iacobelli-eth-zurich\/"},"modified":"2022-05-04T10:04:13","modified_gmt":"2022-05-04T08:04:13","slug":"from-quantization-of-measures-to-weighted-ultrafast-diffusion-equations-mikaela-iacobelli-eth-zurich","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/from-quantization-of-measures-to-weighted-ultrafast-diffusion-equations-mikaela-iacobelli-eth-zurich\/","title":{"rendered":"From quantization of measures to weighted ultrafast diffusion equations &#8211; Mikaela Iacobelli  (ETH Zurich)"},"content":{"rendered":"<h4 class='mt-4'>Abstract<\/h4>\n<p>In this talk I will discuss some recent results on the asymptotic behaviour of a family of weighted ultrafast diffusion PDEs. These equations are motivated by the gradient flow approach to the problem of quantization of measures, introduced in a series of joint papers with Emanuele Caglioti and Fran\u00e7ois Golse. In this presentation I will focus on a recent result with Francesco Saverio Patacchini and Filippo Santambrogio, where we use the JKO scheme to obtain existence, uniqueness, and exponential convergence to equilibrium under minimal assumptions on the data.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this talk I will discuss some recent results on the asymptotic behaviour of a family of weighted ultrafast diffusion PDEs. These equations are motivated by the gradient flow approach to the problem of quantization of measures, introduced in a&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/from-quantization-of-measures-to-weighted-ultrafast-diffusion-equations-mikaela-iacobelli-eth-zurich\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-4615","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1589389200,"unipievents_enddate":1589392800,"unipievents_place":"","unipievents_externalid":0,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/4615","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents"}],"about":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/types\/unipievents"}],"author":[{"embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/users\/6"}],"version-history":[{"count":0,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/4615\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=4615"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=4615"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=4615"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}