{"id":4,"date":"2022-11-02T18:09:55","date_gmt":"2022-11-02T18:09:55","guid":{"rendered":"https:\/\/dornsife.usc.edu\/juhijang\/?page_id=4"},"modified":"2023-09-27T23:24:36","modified_gmt":"2023-09-28T06:24:36","slug":"home","status":"publish","type":"page","link":"https:\/\/dornsife.usc.edu\/juhijang\/","title":{"rendered":"Home Page"},"content":{"rendered":"\n  \n    \n\n\n\n\n\n\n<div\n  class=\"cc--component-container cc--featured-block \"\n\n  \n  \n  \n  \n  \n  \n  >\n  <div class=\"c--component c--featured-block\"\n    \n      >\n\n    \n  <div class=\"text-image-container\">\n    <div class=\"text-container\">\n\n      \n      \n                  \n<div class=\"f--field f--description\">\n\n    \n  <address><a href=\"https:\/\/dornsife.usc.edu\/mathematics\/\">Department of Mathematics<\/a><br \/>\n<a href=\"http:\/\/www.usc.edu\/\">University of Southern California<\/a><br \/>\nLos Angeles, CA 90089-2532<\/address>\n<address><strong>E-mail:<\/strong>\u00a0juhijang-at-usc-dot-edu<br \/>\n<strong>Office:<\/strong>\u00a0KAP 262C\u00a0<\/address>\n<p>I am a Professor at\u00a0<a href=\"http:\/\/www.usc.edu\/\">USC<\/a>.<\/p>\n\n\n\n<\/div>\n      \n          <\/div>\n\n    \n  <\/div>\n\n\n  <\/div><\/div>\n\n\n\n\n  \n    \n\n\n\n\n\n\n<div\n  class=\"cc--component-container cc--rich-text \"\n\n  \n  \n  \n  \n  \n  \n  >\n  <div class=\"c--component c--rich-text\"\n    \n      >\n\n    \n      \n<div class=\"f--field f--wysiwyg\">\n\n    \n  <address>\n<h5>Research Interests<\/h5>\n<p>Analysis and PDEs arising in fluid and gas dynamics, kinetic theory, plasma physics, and astrophysics<\/p>\n<ul>\n<li>Moving boundary value problems for compressible Euler and Navier-Stokes equations<\/li>\n<li>Stability theory for compressible fluids driven by gravity<\/li>\n<li>Singularities in fluid and gas dynamics<\/li>\n<li>Hydrodynamic limits from the kinetic equations<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<hr \/>\n<h5>Selected Recent Publications<\/h5>\n<ul>\n<li>Naked singularities in the Einstein-Euler system (with Yan Guo and Mahir Hadzic), Annals of PDE (2023) 9:4<\/li>\n<li>Incompressible Euler limit from Boltzmann equation with Diffuse Boundary Condition for Analytic data (with Chanwoo Kim),\u00a0<em>Annals of PDE<\/em>\u00a0(2021) 7:22<\/li>\n<li>Continued Gravitational Collapse for Newtonian Stars (with Yan Guo and Mahir Hadzic),\u00a0<em>Archive for Rational Mechanics and Analysis<\/em>\u00a0239 (2021), 431-552<\/li>\n<li>Expanding large global solutions of the equations of compressible fluid mechanics (with Mahir Hadzic),\u00a0<em>Inventiones mathematicae<\/em>\u00a0214 (2018), no. 3, 1205-1266<\/li>\n<li>Nonlinear stability of expanding star solutions in the radially-symmetric mass-critical Euler-Poisson system (with Mahir Hadzic),\u00a0<em>Communications on Pure and Applied Mathematics<\/em>\u00a071 (2018), no.5, 827-891<\/li>\n<\/ul>\n<p>A complete list can be found at\u00a0<a href=\"https:\/\/dornsife.usc.edu\/juhijang\/publications\/\">Publications<\/a>.<\/p>\n<p>&nbsp;<\/p>\n<hr \/>\n<h5><a href=\"https:\/\/dornsife.usc.edu\/juhijang\/teaching\/\">Teaching at USC<\/a><\/h5>\n<p>&nbsp;<\/p>\n<hr \/>\n<h5><a href=\"https:\/\/dornsife.usc.edu\/juhijang\/summer-school-on-recent-advances-in-mathematical-fluid-dynamics-may-20-24-2019summer-school\/\">2019 USC Summer School on Mathematical Fluids<\/a>\u00a0(May 20 &#8211; May 24 2019)<\/h5>\n<p>&nbsp;<\/p>\n<h5><a href=\"https:\/\/dornsife.usc.edu\/juhijang\/usc-summer-school-on-mathematical-fluids\/\">USC Summer School on Mathematical Fluids<\/a>\u00a0(May 22 &#8211; May 26 2017)<\/h5>\n<p>&nbsp;<\/p>\n<\/address>\n\n\n\n<\/div>\n\n\n  <\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":9,"featured_media":212,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-4","page","type-page","status-publish","has-post-thumbnail","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - 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