There will be an invited talk.<\/p>\n
Title: Green’s functions and Well-posedness of Compressible Navier-Stokes equation<\/strong><\/span> There will be an invited talk. Title: Green’s functions and Well-posedness of Compressible Navier-Stokes equation Speaker: Prof. Shih-Hsien Yu (National University of Singapore) Time: 2018 November 13th, 4:00pm~5:00pm Place: 27-220 Abstract: A class of decomposition of Green’s functions for the compressilbe Navier-Stokes linearized around a constant state is introduced. The singular structures of the Green’s […]<\/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\/722"}],"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=722"}],"version-history":[{"count":2,"href":"http:\/\/hyke.snu.ac.kr\/index.php?rest_route=\/wp\/v2\/posts\/722\/revisions"}],"predecessor-version":[{"id":724,"href":"http:\/\/hyke.snu.ac.kr\/index.php?rest_route=\/wp\/v2\/posts\/722\/revisions\/724"}],"wp:attachment":[{"href":"http:\/\/hyke.snu.ac.kr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=722"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/hyke.snu.ac.kr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=722"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/hyke.snu.ac.kr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=722"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n Speaker: Prof. Shih-Hsien Yu<\/strong> (National University of Singapore)<\/span>
\n Time: 2018 November 13th, 4:00pm~5:00pm<\/strong><\/span>
\n Place: 27-220<\/strong><\/span>
\n Abstract:<\/span>
\n A class of decomposition of Green’s functions for the compressilbe Navier-Stokes linearized around a constant state is introduced. The singular structures of the Green’s functions are developed as essential devices to use the nonlinearity directly to covert the 2nd order quasi-linear PDE into a system of zero-th order integral equation with regular integral kernels. The system of integrable equations allows a wider class of functions such as BV solutions. We have shown global existence and well-posedness of the compressible Navier-Stokes equation for isentropic gas with the gas constant \u03b3\u2208(0,e) in the Lagrangian coordinate for the class of the BV functions and point wise L\u221e around a constant state; and the
\nunderline pointwise structure of the solutions is constructed. It is also shown that for the class of BV solution the solution is at most piecewise C2-solution even though the initial data is piecewise C^infty.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"