{"id":1489,"date":"2022-11-08T13:39:19","date_gmt":"2022-11-08T04:39:19","guid":{"rendered":"http:\/\/hyke.snu.ac.kr\/?p=1489"},"modified":"2022-11-11T16:15:19","modified_gmt":"2022-11-11T07:15:19","slug":"invited-talk-fredholm-property-of-the-linearized-boltzmann-operator-for-a-mixture-of-polyatomic-gases","status":"publish","type":"post","link":"http:\/\/hyke.snu.ac.kr\/?p=1489","title":{"rendered":"[Invited Talk] Fredholm Property of the Linearized Boltzmann Operator for a Mixture of Polyatomic Gases"},"content":{"rendered":"<p>There will be an invited talk.<\/p>\n<p><span style=\"font-size: 10pt;\">Title: <strong>Fredholm Property of the Linearized Boltzmann Operator for a Mixture of Polyatomic Gases<\/strong><\/span><br \/> <span style=\"font-size: 10pt;\"> Speaker: <strong>Marwa Shahine<\/strong> (Univ. of Bordeaux)<\/span><br \/> <span style=\"font-size: 10pt;\"> Time: <strong>2022 November 11th, 15:00 ~ 16:00<\/strong><\/span><br \/> <span style=\"font-size: 10pt;\"> Place: <strong>27-325<\/strong><\/span><br \/> <span style=\"font-size: 10pt;\"> Abstract:<\/span><br \/> <span style=\"font-size: 10pt;\"> In this talk, we consider the Boltzmann equation that models a mixture of polyatomic gases assuming the internal energy to be continuous. Under some convenient assumptions on the collision cross-section, we prove that the linearized Boltzmann operator L is a Fredholm operator. For this, we write L as a perturbation of the collision frequency multiplication operator. We prove that the collision frequency is coercive and that the perturbation operator is Hilbert-Schmidt integral operator.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>There will be an invited talk. Title: Fredholm Property of the Linearized Boltzmann Operator for a Mixture of Polyatomic Gases Speaker: Marwa Shahine (Univ. of Bordeaux) Time: 2022 November 11th, 15:00 ~ 16:00 Place: 27-325 Abstract: In this talk, we consider the Boltzmann equation that models a mixture of polyatomic gases assuming the internal energy [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[],"_links":{"self":[{"href":"http:\/\/hyke.snu.ac.kr\/index.php?rest_route=\/wp\/v2\/posts\/1489"}],"collection":[{"href":"http:\/\/hyke.snu.ac.kr\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/hyke.snu.ac.kr\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/hyke.snu.ac.kr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/hyke.snu.ac.kr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1489"}],"version-history":[{"count":4,"href":"http:\/\/hyke.snu.ac.kr\/index.php?rest_route=\/wp\/v2\/posts\/1489\/revisions"}],"predecessor-version":[{"id":1514,"href":"http:\/\/hyke.snu.ac.kr\/index.php?rest_route=\/wp\/v2\/posts\/1489\/revisions\/1514"}],"wp:attachment":[{"href":"http:\/\/hyke.snu.ac.kr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1489"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/hyke.snu.ac.kr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1489"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/hyke.snu.ac.kr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1489"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}