{"id":19,"date":"2012-09-05T11:22:25","date_gmt":"2012-09-05T15:22:25","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/template\/?page_id=19"},"modified":"2026-03-19T08:44:09","modified_gmt":"2026-03-19T12:44:09","slug":"publications","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/chengyu\/publications\/","title":{"rendered":"Publications and preprints"},"content":{"rendered":"\r\n<section class=\"fullwidth-text-block\">\r\n\t<div class=\"container px-0 pt-5\">\r\n\t\t<div class=\"row align-items-start\">\r\n\t\t\t<div class=\"col-12\">\r\n\t\t\t\t\n<h1 class=\"wp-block-heading\">Publications and preprints<\/h1>\n\n\n\n<ul class=\"wp-block-list\"><li>16. Global ill-posedness for a dense set of initial data to the isentropic system of gas dynamics, (with M. R. Chen and A. Vasseur),  to appear in Advances in Mathematics. <em><a href=\"https:\/\/arxiv.org\/abs\/2103.04905\"><span style=\"font-family: Verdana, Bitstream Vera Sans, Arial, Helvetica, sans-serif\"><span style=\"font-size: medium\"> arXiv.<\/span><\/span><\/a><\/em><\/li>\n<li>15. Inviscid limit of the inhomogeneous incompressible Navier-Stokes equations under the weak Kolmogorov hypothesis in $\\mathbb{R}^3$, (with Dixi Wang and X. Zhao), submitted 2021,<em><a href=\"https:\/\/arxiv.org\/abs\/2102.02748\"><span style=\"font-family: Verdana, Bitstream Vera Sans, Arial, Helvetica, sans-serif\"><span style=\"font-size: medium\"> arXiv.<\/span><\/span><\/a><\/em><\/li>\n<li>14. Dissipative solutions to the compressible isentropic Navier-Stokes equations, (with L. Guo, F. Li), submitted 2021,<em><a href=\"https:\/\/arxiv.org\/abs\/2102.02747\"><span style=\"font-family: Verdana, Bitstream Vera Sans, Arial, Helvetica, sans-serif\"><span style=\"font-size: medium\"> arXiv.<\/span><\/span><\/a><\/em><\/li>\n<li>13. Global existence of entropy-weak solutions to the compressible Navier-Stokes equations with nonlinear density dependent viscosities, (with D. Bresch and A. Vasseur), to appear in  J. Eur. Math. Soc. <em><a href=\"https:\/\/arxiv.org\/abs\/1905.02701\"><span style=\"font-family: Verdana, Bitstream Vera Sans, Arial, Helvetica, sans-serif\"><span style=\"font-size: medium\"> arXiv.<\/span><\/span><\/a><\/em><\/li>\n<li>12. Global weak solutions to the compressible Navier-Stokes-Vlasov-Boltzmann equations} (with I. Gamba), J. Math. Fluid Mech.  22 (2020), no. 4, Paper No. 45, 22 pp.\n<\/li><li>11.  Onsager&#8217;s energy conservation for inhomogeneous Euler equations, (with R. M. Chen), <em><a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0021782419300406\"><span style=\"font-family: Verdana, Bitstream Vera Sans, Arial, Helvetica, sans-serif\"><span style=\"font-size: medium\">  J. Math. Pures Appl. (9) 131 (2019), 1\u201316. <\/span><\/span><\/a><\/em><\/li>\n<li>10. Global weak solution to the viscous two-phase model with finite energy, (with A. Vasseur, H. Wen),\n<p> <em><a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0021782418300989\"><span style=\"font-family: Verdana, Bitstream Vera Sans, Arial, Helvetica, sans-serif\"><span style=\"font-size: medium\"> J. Math. Pures Appl. (9) 125 (2019), 247\u2013282.<\/span><\/span><\/a><\/em><\/p><\/li>\n<li>9. Existence of global weak solutions for the Navier-Stokes-Vlasov-Boltzmann equations, (with L. Yao),\n<p><em><a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0022039618303632\"><span style=\"font-family: Verdana, Bitstream Vera Sans, Arial, Helvetica, sans-serif\"><span style=\"font-size: medium\">  J. Differential Equations 265 (2018), no. 11, 5575\u20135603.<\/span><\/span><\/a><\/em><\/p><\/li>\n<li>8.Energy conservation for the weak solutions of the compressible Navier-Stokes equations,\n<p><em><a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00205-017-1121-4\"><span style=\"font-family: Verdana, Bitstream Vera Sans, Arial, Helvetica, sans-serif\"><span style=\"font-size: medium\"> Arch. Ration. Mech. Anal. 225 (2017), no. 3, 1073\u20131087.<\/span><\/span><\/a><\/em><\/p><\/li>\n<li>7. Existence of global weak solutions for 3D degenerate compressible Navier-Stokes equations, (with A. Vasseur)\n<p><em><a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00222-016-0666-4\"><span style=\"font-family: Verdana, Bitstream Vera Sans, Arial, Helvetica, sans-serif\"><span style=\"font-size: medium\">   Invent. Math. 206 (2016), no. 3, 935\u2013974. <\/span><\/span><\/a><\/em><\/p><\/li>\n<li>6.  The global weak solutions to compressible Quantum Navier-Stokes equations with damping, (with A. Vasseur)\n<p><em><a href=\"https:\/\/epubs.siam.org\/doi\/abs\/10.1137\/15M1013730\"><span style=\"font-family: Verdana, Bitstream Vera Sans, Arial, Helvetica, sans-serif\"><span style=\"font-size: medium\">    SIAM J. Math. Anal. 48 (2016), no. 2, 1489\u20131511.  <\/span><\/span><\/a><\/em><\/p><\/li>\n<li>5.   Global weak solution to the inhomogeneous Navier-Stokes-Vlasov equations, (with D. Wang)\n<p><em><a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0022039615002909\"><span style=\"font-family: Verdana, Bitstream Vera Sans, Arial, Helvetica, sans-serif\"><span style=\"font-size: medium\">   J. Differential Equations 259 (2015), no. 8, 3976\u20134008.<br>\n <\/span><\/span><\/a><\/em><\/p><\/li>\n<li>4. Global weak solution for a coupled compressible Navier-Stokes and Q-tensor system, (with X. Xu and D. Wang)\n<p><em><a href=\"http:\/\/www.intlpress.com\/site\/pub\/pages\/journals\/items\/cms\/content\/vols\/0013\/0001\/a003\/\"><span style=\"font-family: Verdana, Bitstream Vera Sans, Arial, Helvetica, sans-serif\"><span style=\"font-size: medium\">    Commun. Math. Sci. 13 (2015), no. 1, 49\u201382.<br>\n <\/span><\/span><\/a><\/em><\/p><\/li>\n<li>3. Incompressible limit for the compressible flow of liquid crystals, (with D. Wang)\n<p><em><a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00021-014-0185-2\"><span style=\"font-family: Verdana, Bitstream Vera Sans, Arial, Helvetica, sans-serif\"><span style=\"font-size: medium\">     J. Math. Fluid Mech. 16 (2014), no. 4, 771\u2013786.<br>\n <\/span><\/span><\/a><\/em><\/p><\/li>\n<li>2. Global weak solution for incompressible Navier-Stokes-Vlasov equations,\n<p><em><a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0021782413000093\"><span style=\"font-family: Verdana, Bitstream Vera Sans, Arial, Helvetica, sans-serif\"><span style=\"font-size: medium\">   J. Math. Pures Appl. (9) 100 (2013), no. 2, 275\u2013293.<br>\n <\/span><\/span><\/a><\/em><\/p><\/li>\n<li>1. Global weak solution and large-time behavior for the compressible flow of liquid crystals (with D. Wang),\n<p><em><a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00205-011-0488-x\"><span style=\"font-family: Verdana, Bitstream Vera Sans, Arial, Helvetica, sans-serif\"><span style=\"font-size: medium\">   Arch. Ration. Mech. Anal. 204 (2012), no. 3, 881\u2013915.<br>\n <\/span><\/span><\/a><\/em><\/p><\/li><\/ul>\n\n\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>\r\n<\/section>\r\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":926,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-19","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/chengyu\/wp-json\/wp\/v2\/pages\/19","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/chengyu\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/chengyu\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/chengyu\/wp-json\/wp\/v2\/users\/926"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/chengyu\/wp-json\/wp\/v2\/comments?post=19"}],"version-history":[{"count":12,"href":"https:\/\/people.clas.ufl.edu\/chengyu\/wp-json\/wp\/v2\/pages\/19\/revisions"}],"predecessor-version":[{"id":413,"href":"https:\/\/people.clas.ufl.edu\/chengyu\/wp-json\/wp\/v2\/pages\/19\/revisions\/413"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/chengyu\/wp-json\/wp\/v2\/media?parent=19"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}