{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:50:03Z","timestamp":1753883403735,"version":"3.41.2"},"reference-count":24,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2010,12,12]],"date-time":"2010-12-12T00:00:00Z","timestamp":1292112000000},"content-version":"vor","delay-in-days":345,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/100005187","name":"U.S. Nuclear Regulatory Commission","doi-asserted-by":"publisher","award":["NRC-38-08-945"],"award-info":[{"award-number":["NRC-38-08-945"]}],"id":[{"id":"10.13039\/100005187","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2010,1]]},"abstract":"<jats:p>An interfacial area transport equation (IATE), proposed to dynamically describe the interfacial structure evolution of two\u2010phase flows, could help improve the predictive capability of the two\u2010fluid model. The present study aims to investigate the well\u2010posedness issue of a one\u2010dimensional two\u2010fluid model with the IATE (named \u201ctwo\u2010fluid\u2010IATE model\u201d hereafter) using a characteristic analysis. The momentum flux parameters, which take into account the coupling of the volumetric fraction of phase and velocity distributions over the cross\u2010section of a flow passage, are employed. A necessary condition for the system to achieve hyperbolicity under an adiabatic flow condition is identified. 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