{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,13]],"date-time":"2026-01-13T15:51:42Z","timestamp":1768319502111,"version":"3.49.0"},"reference-count":40,"publisher":"Oxford University Press (OUP)","issue":"4","license":[{"start":{"date-parts":[[2020,7,28]],"date-time":"2020-07-28T00:00:00Z","timestamp":1595894400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"funder":[{"DOI":"10.13039\/501100001665","name":"French National Research Agency","doi-asserted-by":"publisher","award":["ANR-16-CE92-0028"],"award-info":[{"award-number":["ANR-16-CE92-0028"]}],"id":[{"id":"10.13039\/501100001665","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020,12,16]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>The free surface motion in moving containers is an important physical phenomenon for many engineering applications. One way to model the free surface motion is by employing shallow water equations (SWEs). The port-Hamiltonian systems formulation is a powerful tool that can be used for modeling complex systems in a modular way. In this work, we extend previous work on SWEs using the port-Hamiltonian formulation, by considering the two-dimensional equations under rigid body motions. The resulting equations consist of a mixed-port-Hamiltonian system, with finite and infinite-dimensional energy variables and ports. 2000 Math Subject Classification: 34K30, 35K57, 35Q80, 92D25<\/jats:p>","DOI":"10.1093\/imamci\/dnaa016","type":"journal-article","created":{"date-parts":[[2020,6,26]],"date-time":"2020-06-26T03:29:34Z","timestamp":1593142174000},"page":"1348-1366","source":"Crossref","is-referenced-by-count":12,"title":["Port-Hamiltonian model of two-dimensional shallow water equations in moving containers"],"prefix":"10.1093","volume":"37","author":[{"given":"Fl\u00e1vio Luiz","family":"Cardoso-Ribeiro","sequence":"first","affiliation":[{"name":"Instituto Tecnol\u00f3gico de Aeron\u00e1utica, S\u00e3o Jos\u00e9 dos Campos, Brazil"}]},{"given":"Denis","family":"Matignon","sequence":"additional","affiliation":[{"name":"ISAE-SUPAERO - Universit\u00e9 de Toulouse, Toulouse, France"}]},{"given":"Val\u00e9rie","family":"Pommier-Budinger","sequence":"additional","affiliation":[{"name":"ISAE-SUPAERO - Universit\u00e9 de Toulouse, Toulouse, France"}]}],"member":"286","published-online":{"date-parts":[[2020,7,28]]},"reference":[{"key":"2020121600335430700_ref1","doi-asserted-by":"crossref","first-page":"30","DOI":"10.1016\/j.jfluidstructs.2016.03.013","article-title":"A symplectic integrator for dynamic coupling between nonlinear vessel motion with variable cross-section and bottom topography and interior shallow-water sloshing","volume":"65","author":"Alemi Ardakani","year":"2016","journal-title":"J. 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