{"id":4894,"date":"2022-05-17T09:00:38","date_gmt":"2022-05-17T07:00:38","guid":{"rendered":"https:\/\/www.dm.unipi.it\/?post_type=unipievents&#038;p=4894"},"modified":"2022-05-17T09:14:04","modified_gmt":"2022-05-17T07:14:04","slug":"ergodic-properties-for-a-stochastic-two-layer-model-of-geophysical-fluid-dynamics-giulia-carigi-university-of-reading-2","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/ergodic-properties-for-a-stochastic-two-layer-model-of-geophysical-fluid-dynamics-giulia-carigi-university-of-reading-2\/","title":{"rendered":"Ergodic properties for a stochastic two-layer model of geophysical fluid dynamics &#8211;  Giulia Carigi (University of Reading)"},"content":{"rendered":"\n<h4 class=\"wp-block-heading\">Venue<\/h4>\n\n\n\n<p><a href=\"https:\/\/meet.google.com\/gji-phwo-vbg\" target=\"_blank\" rel=\"noreferrer noopener\">Google Meet link<\/a>.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Abstract<\/h4>\n\n\n\n<p>A two-layer quasi-geostrophic model for geophysical flows is studied, with the upper layer being perturbed by additive noise. This model is popular in the geosciences, for instance to study the effects of a stochastic wind forcing on the ocean. A rigorous mathematical analysis however meets with the challenge that the noise configuration is spatially degenerate as the stochastic forcing acts only on the top layer. Exponential convergence of solutions laws is established, implying a spectral gap of the associated Markov semigroup on a space of H\u00f6lder continuous functions. Moreover, response theory with respect to changes in the average wind forcing is established. Specifically, it is shown that the averages of a class of observables against the invariant measure are differentiable (linear response) and locally H\u00f6lder continuous (fractional response) as functions of a deterministic additive forcing. In doing so, a framework suitable to establish (linear and fractional) response for a class of nonlinear stochastic partial differential equations is provided.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Venue Google Meet link. Abstract A two-layer quasi-geostrophic model for geophysical flows is studied, with the upper layer being perturbed&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/ergodic-properties-for-a-stochastic-two-layer-model-of-geophysical-fluid-dynamics-giulia-carigi-university-of-reading-2\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-4894","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1652889600,"unipievents_enddate":1652893200,"unipievents_place":"Google Meet","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\/4894","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\/2"}],"version-history":[{"count":3,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/4894\/revisions"}],"predecessor-version":[{"id":4906,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/4894\/revisions\/4906"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=4894"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=4894"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=4894"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}