{"id":58,"date":"2022-02-25T12:44:46","date_gmt":"2022-02-25T12:44:46","guid":{"rendered":"https:\/\/www.ub.edu\/pde\/CAPA\/?page_id=58"},"modified":"2022-02-25T13:17:39","modified_gmt":"2022-02-25T13:17:39","slug":"publications","status":"publish","type":"page","link":"https:\/\/www.ub.edu\/pde\/CAPA\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"\n<p>The presented publications are connected with the ERC project \u201eCAPA\u201d. The full list of Prof. Javier G\u00f3mez-Serrano\u2019s publications can be found&nbsp;<a href=\"https:\/\/web.math.princeton.edu\/~jg27\/papers.html\">here<\/a>.<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>Y. Wang, C.-Y.Lai, J.G\u00f3mez-Serrano, T. Buckmaster, <a href=\"https:\/\/arxiv.org\/abs\/2201.06780\" data-type=\"URL\" data-id=\"https:\/\/arxiv.org\/abs\/2201.06780\">Self-similar blow-up profile for the Boussinesq equations via a physics-informed neural network<\/a>, Submitted (2022)<\/li><li>C. Garc\u00eda, T.Hmidi, J. Mateu, <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s00220-021-04290-w\" data-type=\"URL\" data-id=\"https:\/\/link.springer.com\/article\/10.1007\/s00220-021-04290-w\">Time periodic solutions for the 3D quasi-geostrophic model.<\/a> Comm. Math. Phys., 2022<\/li><li>J. G\u00f3mez-Serrano, J. Park and J. Shi, <a href=\"https:\/\/arxiv.org\/abs\/2112.03821\" data-type=\"URL\" data-id=\"https:\/\/arxiv.org\/abs\/2112.03821\">Existence of non-trivial non-concentrated compactly supported stationary solutions of the 2D Euler equation with finite energy<\/a>, Submitted (2021)<\/li><li>E. Garc\u00eda-Ju\u00e1rez, J. G\u00f3mez-Serrano, H. Q. Nguyen and B. Pausader, <a href=\"https:\/\/arxiv.org\/abs\/2109.02565\" data-type=\"URL\" data-id=\"https:\/\/arxiv.org\/abs\/2109.02565\">Self-similar solutions for the Muskat equation<\/a>, Advances in Mathematics, (to appear)<\/li><li> J. Dahne, J. G\u00f3mez-Serrano, and K. Hou,<a href=\"https:\/\/arxiv.org\/abs\/2103.02276\" data-type=\"URL\" data-id=\"https:\/\/arxiv.org\/abs\/2103.02276\"> A counterexample to Payne&#8217;s nodal line conjecture with few holes<\/a>, Commun. Nonlinear Sci. Numer. Simul., 103, 105957, 2021. Special Issue &#8220;Computer Assisted Proofs in Dynamical Systems&#8221;<\/li><li>J. G\u00f3mez-Serrano, J. Park, J. Shi and Y. Yao, <a href=\"https:\/\/arxiv.org\/abs\/2012.08709\" data-type=\"URL\" data-id=\"https:\/\/arxiv.org\/abs\/2012.08709\">Remarks on stationary and uniformly-rotating vortex sheets: Flexibility results<\/a>, Phil. Trans. R. Soc. A, (to appear)<\/li><li>J. G\u00f3mez-Serrano, J. Park, J. Shi and Y. Yao, <a href=\"https:\/\/arxiv.org\/abs\/2012.04548\" data-type=\"URL\" data-id=\"https:\/\/arxiv.org\/abs\/2012.04548\">Remarks on stationary and uniformly-rotating vortex sheets: Rigidity results<\/a>, Communications in Mathematical Physics, 386, 1845\u20131879, 2021<\/li><li>J. G\u00f3mez-Serrano, G. Orriols,<a href=\"https:\/\/arxiv.org\/abs\/1911.06758\" data-type=\"URL\" data-id=\"https:\/\/arxiv.org\/abs\/1911.06758\"> Any three eigenvalues do not determine a triangle<\/a>, Journal of Differential Equations, 275, 920-938, 2021<\/li><li>J. G\u00f3mez-Serrano, J. Park, J. Shi and Y. Yao, <a href=\"https:\/\/arxiv.org\/abs\/1908.01722\" data-type=\"URL\" data-id=\"https:\/\/arxiv.org\/abs\/1908.01722\">Symmetry in stationary and uniformly-rotating solutions of active scalar equations<\/a>, Duke Mathematical Journal, 170, no. 13, 2957-3038, 2021<\/li><li>J. Campos, C. Garc\u00eda, J. Soler, <a href=\"https:\/\/arxiv.org\/pdf\/2102.13480.pdf\" data-type=\"URL\" data-id=\"https:\/\/arxiv.org\/pdf\/2102.13480.pdf\">Kinks and solitons in linear and nonlinear-diffusion Keller-Segel type models with logarithmic sensivity<\/a>, Submitted (2021)<\/li><li>C. Garc\u00eda, <a href=\"https:\/\/doi.org\/10.1007\/s00332-021-09729-x\">Vortex patches choreographies for active scalar equations<\/a>, J Nonlinear Sci 31, 75, Springer, Published online, 2021<\/li><li>J. Park, <a href=\"https:\/\/arxiv.org\/abs\/2010.06754\">Quantitative estimates for uniformly-rotating vortex patches<\/a>, Submitted (2020)<\/li><li>E. Garcia-Juarez, Y. Mori, R. Strain, <a href=\"arXiv:2009.03360\" data-type=\"URL\" data-id=\"arXiv:2009.03360\">The Peskin Problem with Viscosity Contrast. <\/a>Analysis and PDE (to appear) <\/li><\/ol>\n","protected":false},"excerpt":{"rendered":"<div class=\"entry-summary\">\nThe presented publications are connected with the ERC project \u201eCAPA\u201d. The full list of Prof. Javier G\u00f3mez-Serrano\u2019s publications can be&hellip;\n<\/div>\n<div class=\"link-more\"><a href=\"https:\/\/www.ub.edu\/pde\/CAPA\/publications\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &ldquo;Publications&rdquo;<\/span>&hellip;<\/a><\/div>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-58","page","type-page","status-publish","hentry","entry"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.ub.edu\/pde\/CAPA\/wp-json\/wp\/v2\/pages\/58","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ub.edu\/pde\/CAPA\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.ub.edu\/pde\/CAPA\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.ub.edu\/pde\/CAPA\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ub.edu\/pde\/CAPA\/wp-json\/wp\/v2\/comments?post=58"}],"version-history":[{"count":2,"href":"https:\/\/www.ub.edu\/pde\/CAPA\/wp-json\/wp\/v2\/pages\/58\/revisions"}],"predecessor-version":[{"id":90,"href":"https:\/\/www.ub.edu\/pde\/CAPA\/wp-json\/wp\/v2\/pages\/58\/revisions\/90"}],"wp:attachment":[{"href":"https:\/\/www.ub.edu\/pde\/CAPA\/wp-json\/wp\/v2\/media?parent=58"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}