{"id":182,"date":"2020-09-10T00:05:30","date_gmt":"2020-09-10T04:05:30","guid":{"rendered":"http:\/\/sites.nd.edu\/xinyue-zhao\/?page_id=182"},"modified":"2021-03-27T12:20:12","modified_gmt":"2021-03-27T16:20:12","slug":"publications-2","status":"publish","type":"page","link":"https:\/\/sites.nd.edu\/xinyue-zhao\/publications-2\/","title":{"rendered":"PUBLICATIONS"},"content":{"rendered":"\n<ol class=\"wp-block-list\" id=\"block-3e1d696d-c3d1-41f0-8008-90ba502365e7\"><li><a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S1468121818312732\">The impact of time delay in a tumor model<\/a>, with B. Hu.\u00a0<em>Nonlinear Analysis: Real World Applications<\/em>,\u00a0<strong>51\u00a0<\/strong>(2020), 103015.<\/li><li><a href=\"https:\/\/www.sciencedirect.com\/science\/article\/abs\/pii\/S0022039620300280\">Symmetry-breaking bifurcation for a free-boundary tumor model with time delay<\/a>, with B. Hu.\u00a0<em>Journal of Differential Equations<\/em>, <strong>269\u00a0<\/strong>(2020), 1829 &#8211; 1862.<\/li><li><a href=\"https:\/\/arxiv.org\/abs\/2008.02407\">Bifurcation for a free boundary problem modeling small arterial plaque<\/a>, with B. Hu.\u00a0<em>Journal of Differential Equations, accepted for publication.<\/em><\/li><li><a href=\"https:\/\/arxiv.org\/abs\/2011.00315\">Convergence analysis of neural networks for solving a free boundary system<\/a>, with W. Hao and B. Hu. <em>Computers and Mathematics with Applications, accepted for publication.<\/em><\/li><li><a href=\"https:\/\/arxiv.org\/abs\/2011.01528\">On the smallest bifurcation point for a free boundary problem modeling small arterial plaque<\/a>, with B. Hu.\u00a0<em>Preprint<\/em>.<\/li><li>A neural network algorithm for solving the obstacle problems, with W. Hao and B. Hu. <em>In preparation<\/em>.<\/li><\/ol>\n","protected":false},"excerpt":{"rendered":"<p>The impact of time delay in a tumor model, with B. Hu.\u00a0Nonlinear Analysis: Real World Applications,\u00a051\u00a0(2020), 103015. Symmetry-breaking bifurcation for a free-boundary tumor model with time delay, with B. Hu.\u00a0Journal of Differential Equations, 269\u00a0(2020), 1829 &#8211; 1862. Bifurcation for a free boundary problem modeling small arterial plaque, with B. Hu.\u00a0Journal of Differential Equations, accepted for [&hellip;]<\/p>\n","protected":false},"author":3175,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-182","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sites.nd.edu\/xinyue-zhao\/wp-json\/wp\/v2\/pages\/182","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.nd.edu\/xinyue-zhao\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.nd.edu\/xinyue-zhao\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.nd.edu\/xinyue-zhao\/wp-json\/wp\/v2\/users\/3175"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.nd.edu\/xinyue-zhao\/wp-json\/wp\/v2\/comments?post=182"}],"version-history":[{"count":6,"href":"https:\/\/sites.nd.edu\/xinyue-zhao\/wp-json\/wp\/v2\/pages\/182\/revisions"}],"predecessor-version":[{"id":269,"href":"https:\/\/sites.nd.edu\/xinyue-zhao\/wp-json\/wp\/v2\/pages\/182\/revisions\/269"}],"wp:attachment":[{"href":"https:\/\/sites.nd.edu\/xinyue-zhao\/wp-json\/wp\/v2\/media?parent=182"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}