{"id":103,"date":"2013-06-25T20:55:20","date_gmt":"2013-06-25T20:55:20","guid":{"rendered":"\/enzuazua\/?page_id=103"},"modified":"2025-04-09T05:11:55","modified_gmt":"2025-04-09T03:11:55","slug":"research","status":"publish","type":"page","link":"https:\/\/cmc.deusto.eus\/enzuazua\/research\/","title":{"rendered":"Research"},"content":{"rendered":"<div class=\"su-tabs su-tabs-style-default su-tabs-mobile-stack\" data-active=\"1\" data-scroll-offset=\"0\" data-anchor-in-url=\"no\"><div class=\"su-tabs-nav\"><span class=\"\" data-url=\"\" data-target=\"blank\" tabindex=\"0\" role=\"button\">Research<\/span><span class=\"\" data-url=\"\" data-target=\"blank\" tabindex=\"0\" role=\"button\">Boards<\/span><span class=\"\" data-url=\"\" data-target=\"blank\" tabindex=\"0\" role=\"button\">Investigaci\u00f3n<\/span><span class=\"\" data-url=\"\" data-target=\"blank\" tabindex=\"0\" role=\"button\">Ikerketa<\/span><\/div><div class=\"su-tabs-panes\"><div class=\"su-tabs-pane su-u-clearfix su-u-trim\" data-title=\"Research\">\nMy domains of expertise in Applied Mathematics include Partial Differential Equations, Systems Control and Numerical Analysis and Machine Learning. These subjects interrelate and their final aim is to model, analyse, computer simulate, and finally contribute to the control and design of the most diverse natural phenomena and all fields of R + D + I.<\/p>\n<p>More specifically, my work is oriented to the understanding of wave propagation, its numerical approximation and the development of suitable and efficient control mechanisms. These tops find applications in a variety of frameworks, involving relevant natural phenomena and industrial processes, such as the shape design in aeronautics, or wave propagation on networks.<\/p>\n<p>I had the opportunity to contribute to the training of a number of young researchers. In particular I was the advisor of more than twenty PhD Thesis of former students that now develop their careers in countries such as Brazil, Chile, China, Mexico, Rumania, Spain, etc.<\/p>\n<p>The research of our team is being funded by several agencies and, in particular, by the <a href=\"https:\/\/dcn.nat.fau.eu\/fau-mathematician-receives-erc-advanced-grant\/\">European Research Council<\/a> through the <a href=\"https:\/\/cmc.deusto.eus\/numeriwaves\/\" target=\"_blank\" rel=\"noopener\">NUMERIWAVES<\/a> in 2010, <a href=\"https:\/\/cmc.deusto.eus\/erc-dycon\/\" target=\"_blank\" rel=\"noopener\">DyCon<\/a> in 2016 and <a href=\"https:\/\/cmc.deusto.eus\/codefel\/\" target=\"_blank\" rel=\"noopener\">CoDeFeL<\/a> in 2022\u00a0and by the Spanish <a href=\"http:\/\/www.mineco.gob.es\/portal\/site\/mineco\/idi\">MINECO<\/a> through the Project MTM2014-52347- &#8220;Methods for numerical simulation and control of environmental flows platforms&#8221;. In fact our research has been continuously funded by the Spanish Ministries for Science since 1990. In 2022 I was awarded the <a href=\"https:\/\/dcn.nat.fau.eu\/enrique-zuazua-2022-w-t-and-idalia-reid-prize\/\" target=\"_blank\" rel=\"noopener\">W.T. and Idalia Reid Prize<\/a> of SIAM.<\/p>\n<p>I had also the opportunity to contribute building some new infrastructures for research. In particular I was (2008-2012) the Founding Scientific Director of the BCAM \u2013 Basque Center for Applied Mathematics in Bilbao, Basque Country, Spain. At the occasion of the launching of that Center I coined the following sentence that summarizes my view on Applied Mathematics as an engine for development: &#8220;We understand Applied Mathematics both as a way of getting into the depth of mathematics and also of interacting with all other scientists and R&amp;D agents. At the heart of Basque Country, Bilbao is the right place for attaining these two objectives and BCAM will facilitate them with the right atmosphere, infrastructure and vision&#8221;.<\/p>\n<p><a href=\"https:\/\/cmc.deusto.eus\/enzuazua\/m4temozioa\/\"><strong>M4TEMOZIOA<\/strong><\/a><\/p>\n<p><a href=\"https:\/\/cmc.deusto.eus\/enzuazua\/matemaniak\/\"><strong>Mat\u03a3maniak<\/strong><\/a><\/p>\n<\/div>\n<div class=\"su-tabs-pane su-u-clearfix su-u-trim\" data-title=\"Boards\">\n<ul>\n<li><a href=\"https:\/\/thenaai.org\/index\/index\/rwdata\/id\/612.shtml\" rel=\"noopener\" target=\"_blank\">NAAI<\/a>, National Academy of Artificial Intelligence (Member)<\/li>\n<li><a href=\"https:\/\/www.worldscientific.com\/page\/jdds\/editorial-board\" rel=\"noopener\" target=\"_blank\">World Scientific<\/a>, Journal of Data and Dynamic Systems (Editorial board)<\/li>\n<li><a target=\"_blank\" href=\"https:\/\/link.springer.com\/journal\/33\/editors\" rel=\"noopener\">ZAMP<\/a>, Zeitschrift f\u00fcr angewandte Mathematik und Physik. Journal of Applied Mathematics and Physics \/ Journal de Math\u00e9matiques et de Physique appliqu\u00e9es). (Editorial board)<\/li>\n<li><a target=\"_blank\" href=\"https:\/\/www.sciencedirect.com\/journal\/neural-networks\/about\/editorial-board\" rel=\"noopener\">Neural Networks<\/a> (Editorial board)<\/li>\n<li><a target=\"_blank\" href=\"https:\/\/www.worldscientific.com\/worldscinet\/gm\" rel=\"noopener\">Geometric Mechanics<\/a> (Editorial board)<\/li>\n<li><a target=\"_blank\" href=\"https:\/\/www.springer.com\/series\/17124\/editors\" rel=\"noopener\">University Texts in the Mathematical Sciences <\/a><\/li>\n<li><a target=\"_blank\" href=\"https:\/\/royalsocietypublishing.org\/rsos\/editorial-board\" rel=\"noopener\">The Royal Society<\/a><\/li>\n<li><a target=\"_blank\" href=\"https:\/\/advancesindifferenceequations.springeropen.com\/about\/editorial-board-acdm\" rel=\"noopener\">Advances in Continuous and Discrete Models: Theory and Modern Applications (Editor in Chief)<\/a><\/li>\n<li><a target=\"_blank\" href=\"http:\/\/cot.mathres.org\/editorial-board\" rel=\"noopener\">Communications in Optimization Theory (Editorial board)<\/a><\/li>\n<li><a target=\"_blank\" href=\"https:\/\/journals.tubitak.gov.tr\/math\/editorialboard.html\" rel=\"noopener\">Turkish Journal of Mathematics, (Editorial board)<\/a><\/li>\n<li><a target=\"_blank\" href=\"https:\/\/www.aimsciences.org\/mcrf\" rel=\"noopener\">Mathematical Control and Related Fields, (Editor in Chief)<\/a><\/li>\n<li><a target=\"_blank\" href=\"https:\/\/www.springer.com\/journal\/10440\/editors\" rel=\"noopener\">Acta Applicandae Mathematicae<\/a><\/li>\n<li><a target=\"_blank\" href=\"http:\/\/www.worldscientific.com\/worldscinet\/m3as\" rel=\"noopener\">Mathematical Models and Methods in Applied Sciences<\/a><\/li>\n<li><a target=\"_blank\" href=\"https:\/\/www.sciencedirect.com\/journal\/journal-de-mathematiques-pures-et-appliquees\/about\/editorial-board\" rel=\"noopener\">Journal de Math\u00e9matiques Pures et Appliqu\u00e9es<\/a><\/li>\n<li><a target=\"_blank\" href=\"http:\/\/link.springer.com\/journal\/211\" rel=\"noopener\">Numerische Mathematik<\/a><\/li>\n<li><a target=\"_blank\" href=\"https:\/\/www.journals.elsevier.com\/journal-of-differential-equations\/editorial-board\" rel=\"noopener\">Journal of Differential Equations<\/a><\/li>\n<li><a target=\"_blank\" href=\"https:\/\/www.sciencedirect.com\/journal\/systems-and-control-letters\/about\/editorial-board\" rel=\"noopener\">Systems and Control Letters<\/a><\/li>\n<li><a target=\"_blank\" href=\"http:\/\/link.springer.com\/journal\/10957\" rel=\"noopener\">Journal of Optimization Theory and Applications<\/a><\/li>\n<li><a target=\"_blank\" href=\"https:\/\/www.esaim-cocv.org\/about-the-journal\/editorial-board\" rel=\"noopener\">ESAIM: Control, Optimisation and the Calculus of Variations<\/a><\/li>\n<li><a target=\"_blank\" href=\"http:\/\/www.nature.com\/srep\/\" rel=\"noopener\">Scientific Reports, Mathematical Physics, Thermodynamics and Nonlinear Dynamics fields<\/a><\/li>\n<li><a target=\"_blank\" href=\"http:\/\/link.springer.com\/journal\/498\" rel=\"noopener\">Mathematics of Control, Signals and Systems<\/a><\/li>\n<li><a target=\"_blank\" href=\"http:\/\/www.iospress.nl\/journal\/asymptotic-analysis\/\" rel=\"noopener\">Asymptotic Analysis<\/a><\/li>\n<li><a target=\"_blank\" href=\"https:\/\/www.aimsciences.org\/nhm\" rel=\"noopener\">Networks and Heterogeneous Media<\/a><\/li>\n<li><a target=\"_blank\" href=\"https:\/\/www.springer.com\/journal\/10013\/editors\" rel=\"noopener\">Vietnam Journal of Mathematics<\/a><\/li>\n<li><a target=\"_blank\" href=\"https:\/\/pacific-mathforindustry.springeropen.com\/about\/editorial-board\" rel=\"noopener\">Pacific Journal of Math-for-Industry (PJMI)<\/a><\/li>\n<li><a target=\"_blank\" href=\"https:\/\/www.springer.com\/journal\/12215\/editors\" rel=\"noopener\">Rendiconti del Circolo Matematico di Palermo<\/a><\/li>\n<li><a target=\"_blank\" href=\"https:\/\/www.ems-ph.org\/journals\/editorial.php?jrn=pm\" rel=\"noopener\">Portugaliae Mathematica<\/a><\/li>\n<li><a target=\"_blank\" href=\"https:\/\/www.inderscience.com\/jhome.php?jcode=ijmmno\" rel=\"noopener\">International Journal of Mathematical Modeling and Numerical Optimisation<\/a><\/li>\n<li><a target=\"_blank\" href=\"http:\/\/inf.ucv.ro\/~ami\/index.php\/ami\/about\/editorialTeam\" rel=\"noopener\">Annals of the University of Craiova \u2013 Mathematics and Computer Science Series<\/a><\/li>\n<li><a target=\"_blank\" href=\"https:\/\/www.springer.com\/journal\/40314\/editors\" rel=\"noopener\">Computational and Applied Mathematics<\/a><\/li>\n<li><a target=\"_blank\" href=\"http:\/\/www.emis.de\/journals\/EJMAPS\/\" rel=\"noopener\">Electronic Journal of Mathematical and Physical Sciences (EJMAPS)<\/a><\/li>\n<li><a target=\"_blank\" href=\"https:\/\/pjm.ppu.edu\/editorial_board\" rel=\"noopener\">Palestine Journal of Mathematics<\/a><\/li>\n<li><a target=\"_blank\" href=\"https:\/\/revues.imist.ma\/index.php\/fsejournal\/pages\/view\/comite\" rel=\"noopener\">Frontiers in Science and Engineering<\/a><\/li>\n<li><a target=\"_blank\" href=\"http:\/\/www.jneea.com\/?q=editors\" rel=\"noopener\">Journal of Nonlinear Evolution Equations and Applications<\/a><\/li>\n<li><a target=\"_blank\" href=\"https:\/\/www.springer.com\/journal\/10444\/editors\" rel=\"noopener\">Advances in Computational Mathematics; Modeling in Science and Engineering<\/a><\/li>\n<li><a target=\"_blank\" href=\"https:\/\/www.sciendo.com\/journal\/MJPAA\" rel=\"noopener\">Moroccan Journal Pure and Applied Analysis<\/a><\/li>\n<li><a target=\"_blank\" href=\"https:\/\/msp.org\/paa\/about\/journal\/editorial.html\" rel=\"noopener\">Pure and Applied Analysis<\/a><\/li>\n<li><a target=\"_blank\" href=\"https:\/\/www.sciencedirect.com\/journal\/nonlinear-analysis-real-world-applications\/about\/editorial-board\" rel=\"noopener\">Nonlinear Analysis: Real World Applications\u201d (NONRWA)<\/a><\/li>\n<\/ul>\n<h3>Book Series<\/h3>\n<ul>\n<li><a target=\"_blank\" href=\"https:\/\/www.springer.com\/series\/17124\/editors\" rel=\"noopener\">Books Series University Texts in the Mathematical Sciences, UTMS Series &#8211; Springer (Associate Editor)<\/a><\/li>\n<li><a target=\"_blank\" href=\"https:\/\/www.springer.com\/series\/17021\" rel=\"noopener\">SpringerBriefs on PDEs and Data Science (Editor in Chief)<\/a><\/li>\n<li><a target=\"_blank\" href=\"http:\/\/www.springer.com\/series\/2966\" rel=\"noopener\">Math\u00e9matiques et Applications<\/a><\/li>\n<li><a target=\"_blank\" href=\"http:\/\/www.springer.com\/series\/8377\" rel=\"noopener\">Modeling, Simulation and Applications<\/a><\/li>\n<li><a target=\"_blank\" href=\"http:\/\/www.springer.com\/series\/15137\" rel=\"noopener\">PNLDE Subseries in Control<\/a><\/li>\n<li><a target=\"_blank\" href=\"http:\/\/www.springer.com\/series\/5613\" rel=\"noopener\">AMMA-Advances in Mechanics and Mathematics<\/a><\/li>\n<\/ul>\n<p>&nbsp;&nbsp;<br \/>\n<\/div>\n<div class=\"su-tabs-pane su-u-clearfix su-u-trim\" data-title=\"Investigaci\u00f3n\"> Mis campos de especializaci\u00f3n, en el \u00e1mbito de la Matem\u00e1tica Aplicada, abarcan las Ecuaciones en Derivadas Parciales, el Control de Sistemas, el An\u00e1lisis Num\u00e9rico y el Aprendizaje Autom\u00e1tico, temas interrelacionados entre s\u00ed y que tienen como objetivo final modelar, analizar, simular computacionalmente y, por \u00faltimo, contribuir al control y dise\u00f1o de los m\u00e1s diversos fen\u00f3menos de la Naturaleza y del I+D+i. Entre ellos, en particular, la propagaci\u00f3n de ondas en redes, o el dise\u00f1o \u00f3ptimo de formas en aeron\u00e1utica.<\/p>\n<p>Trabajando en estos temas he tenido oportunidad de conocer gente fascinante de la que he intentado aprender y llegar a algunos lugares remotos inolvidables.<\/p>\n<p>He tenido el privilegio de dirigir m\u00e1s de veinte Tesis Doctorales y mis antiguos disc\u00edpulos ocupan ahora plazas en centros diseminados por todo el mundo: Brasil, Chile, China, Espa\u00f1a, M\u00e9xico, Ruman\u00eda,\u2026<\/p>\n<p>Nuestra investigaci\u00f3n se financia a trav\u00e9s diversos proyectos y programas entre los que cabe destacar el Proyecto Advanced Grant del <a href=\"https:\/\/dcn.nat.fau.eu\/fau-mathematician-receives-erc-advanced-grant\/\">European Research Council \u2013 ERC<\/a> con <a href=\"https:\/\/cmc.deusto.eus\/numeriwaves\/\" target=\"_blank\" rel=\"noopener\">NUMERIWAVES<\/a> en 2010, <a href=\"https:\/\/cmc.deusto.eus\/erc-dycon\/\" target=\"_blank\" rel=\"noopener\">DyCon<\/a> en 2016 y <a href=\"https:\/\/cmc.deusto.eus\/codefel\/\" target=\"_blank\" rel=\"noopener\">CoDeFeL<\/a> en 2022 y del <a href=\"http:\/\/www.mineco.gob.es\/portal\/site\/mineco\/idi\">MINECO<\/a>\u00a0 a trav\u00e9s del proyecto MTM2014-52347- &#8220;M\u00e9todos para plataformas de simulaci\u00f3n num\u00e9rica y control de flujos ambientales&#8221;. De hecho la investigaci\u00f3n de nuestro grupo ha sido continuamente financiada por los Ministerios espa\u00f1oles de Ciencia desde 1990.<\/p>\n<p>Tambi\u00e9n he tenido la oportunidad de contribuir a crear nuevas infraestructuras par alas Matem\u00e1ticas. En particular, entre 2008 y 2012 tuve el privilegio de fundar el BCAM \u2013 Basque Center for Applied Mathematics en Bilbao, Pa\u00eds Vasco. Con la ocasi\u00f3n del lanzamiento del centro en septiembre del 2008 acu\u00f1amos la siguiente frase que refleja fielmente nuestro punto de vista sobre la herramienta de desarrollo que proporciona la Matem\u00e1tica Aplicada: &#8220;Entendemos la Matem\u00e1tica Aplicada como el camino para lograr adentrarnos en las Matem\u00e1ticas y para la interacci\u00f3n con otros cient\u00edficos y agentes de I+D. Es Bilbao, en el coraz\u00f3n de Euskadi, el lugar id\u00f3neo para conseguir estos dos objetivos, en la atm\u00f3sfera adecuada, con la infraestructura y visi\u00f3n de BCAM&#8221;.<\/p>\n<p><a href=\"https:\/\/cmc.deusto.eus\/enzuazua\/m4temozioa\/\"><strong>M4TEMOZIOA<\/strong><\/a><\/p>\n<p><a href=\"https:\/\/cmc.deusto.eus\/enzuazua\/matemaniak\/\"><strong>Mat\u03a3maniak<\/strong><\/a><\/p>\n<\/div>\n<div class=\"su-tabs-pane su-u-clearfix su-u-trim\" data-title=\"Ikerketa\">\n<p>Nire ikerkerta lana Matematika Aplikatuaren arloan kokatzen da. Aztertzen ditudan gaiak, gehien bat, Deribatu Partzialetako Ekuazioen ingurukoak dira, berauen Kontrola eta Analisi Numerikoa direlarik aztergai nagusiak. Arlo guzti hauek elkar loturik daude eta Ikerketa, Garapen eta Berrikuntza sisteman agertzen diren prozesu gehienetan agertzen dira. Matematikaren arloan egiten dugun ikerketa lana gai aplikatu hauek aztertzeko, simulatzeko, kudeatzeko eta kontrolatzeko metodoak sortzea dute asmo nagusi gisa. Gure lanaren aplikazio anitzen artean, azpimarragarrienak diseinua aeronautikan eta sareetango uhinen hedapena dira.<\/p>\n<p>Hainbat kiderekin elkar lanean aritzeko aukera izan dut. Bereziki nire zuzendaritzapean hogeitik gora gaztek burutu dute beraien doktoradutza Tesia, Hauek orain beraien karrerak garatzen dituzte hainbat lekutan eta bereziki, Brasil, Chile, China, Rumania, eta Espanian.<\/p>\n<p>Gure ikerketa lana agentzia anitzek finanziatzen dute, eta bereziki, <a href=\"http:\/\/erc.europa.eu\/\">European Research Council-ek (ERC)<\/a> \u201c<a href=\"http:\/\/cmc.deusto.es\/dycon\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>DyCon: Krontol Dinamikoa<\/strong><\/a>\u201d delako Advanced Grant baten bidez (\u201c<a href=\"http:\/\/www.bcamath.org\/projects\/NUMERIWAVES\/\">NUMERIWAVES<\/a>\u201d iaragean: 2010-2015). Aldi berean Espaniako <a href=\"http:\/\/www.mineco.gob.es\/portal\/site\/mineco\/menuitem.19368ee62a6eae4c2adf03a0026041a0\/?vgnextoid=f2e9154527515310VgnVCM1000001d04140aRCRD&amp;lang_choosen=eu\">MINECO<\/a>-k ere gure ikerketa finantziatzen du \u201cSimulazio numerikorako plataformen eta ingurumen fluxuen kontrolerako metodoak&#8221; priektuaren bidez (MTM2014-52347). Izan ere Espanikiako Zienztia Ministerioek 1900tik aurrera gure ikerketa finantziatu dute etengabean.<\/p>\n<p>Matematikaren ikerketarako egiturak eta azpiegiturak sortzeko ere aukera izan dugu. Adibidez, 2008-2012 lau urteetan, BCAM \u2013Basque Center for Applied Mathematics ikerketa zentroaren Zuzendari Zientifiko Sortzailea izateko ohorea izan nuen. Berau sortzeko orduan, 2008ko Iralean, honela azaldu genuen Matematikak gure gizartearen garapenean joka ditzaken lana: &#8220;Matematika aplikatua modu dual edo bikoitz batean ulertzen dugu. Alde batetik Matematika munduaren sakontasuna ausnartzeko bide bezala eta, bestalde, beste zientzilari eta garapen+ikerkuntzako ahaldunekin elkar lanean aritzeko tresna gisa. Euskal Herriko bihotzean, Bilbon, arlo hauek garatzeko aukera berria sortu dugu, tokirik oberenean, BCAM-en, bere azpiegitura eta ikuspen estrategikoari esker&#8221;.<\/p>\n<p><a href=\"https:\/\/cmc.deusto.eus\/enzuazua\/m4temozioa\/\"><strong>M4TEMOZIOA<\/strong><\/a><\/p>\n<p><a href=\"https:\/\/cmc.deusto.eus\/enzuazua\/matemaniak\/\"><strong>Mat\u03a3maniak<\/strong><\/a><\/p>\n<\/div><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":3,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-103","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/cmc.deusto.eus\/enzuazua\/wp-json\/wp\/v2\/pages\/103","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/cmc.deusto.eus\/enzuazua\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/cmc.deusto.eus\/enzuazua\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/cmc.deusto.eus\/enzuazua\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/cmc.deusto.eus\/enzuazua\/wp-json\/wp\/v2\/comments?post=103"}],"version-history":[{"count":22,"href":"https:\/\/cmc.deusto.eus\/enzuazua\/wp-json\/wp\/v2\/pages\/103\/revisions"}],"predecessor-version":[{"id":9539,"href":"https:\/\/cmc.deusto.eus\/enzuazua\/wp-json\/wp\/v2\/pages\/103\/revisions\/9539"}],"wp:attachment":[{"href":"https:\/\/cmc.deusto.eus\/enzuazua\/wp-json\/wp\/v2\/media?parent=103"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}