caa a22 4500 378883275 CHVBK 20180305123437.0 cr unu---uuuuu 161128e20040201xx s 000 0 eng 10.1515/156939404773972743 doi (NATIONALLICENCE)gruyter-10.1515/156939404773972743 Dynamical free boundary problem for an incompressible potential fluid flow in a time-varying domain [Elektronische Daten] [M. C. Delfour, J.-P. Zolésio] Modeling of large lakes or oceans for environmental studies or deformable blood vessels for mini-invasive surgery involve dynamical free boundaries governed by their interaction with their immediate environment. The object of this paper is to further Shape Analysis techniques in the formulation and analysis of dynamical free boundary problems defined over a time-varying domain (noncylindrical problems). The generic example of a potential incompressible fluid flow with a pressure condition (Bernouilli type) on the dynamical free boundary is presented along with a discrete time algorithm to follow the evolution of the time-varying free boundary. The dynamical free boundary condition yields a new time-space differential equation for the normal component of the velocity field on the time-varying free boundary. These ideas and constructions can be extended to more complex and realistic models. Copyright 2004, Walter de Gruyter Delfour M. C. Centre de recherches mathématiques et Département de mathématiques et de statistique, Université de Montréal, C. P. 6128, succ. Centre-ville, Montréal (Qc), Canada H3C 3J7. E-mail: delfour@CRM.UMontreal.CA aut Zolésio J.-P CNRS and INRIA, INRIA, 2004 route des Lucioles, BP 93, 06902 Sophia Antipolis Cedex, France. E-mail: jean-paul.zolesio@sophia.inria.fr aut Journal of Inverse and Ill-posed Problems Walter de Gruyter 12/1(2004-02-01), 1-25 0928-0219 12:1<1 2004 12 jiip https://doi.org/10.1515/156939404773972743 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/156939404773972743 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Delfour M. C. Centre de recherches mathématiques et Département de mathématiques et de statistique, Université de Montréal, C. P. 6128, succ. Centre-ville, Montréal (Qc), Canada H3C 3J7. E-mail: delfour@CRM.UMontreal.CA aut NATIONALLICENCE 700 1- Zolésio J.-P CNRS and INRIA, INRIA, 2004 route des Lucioles, BP 93, 06902 Sophia Antipolis Cedex, France. E-mail: jean-paul.zolesio@sophia.inria.fr aut NATIONALLICENCE 773 0- Journal of Inverse and Ill-posed Problems Walter de Gruyter 12/1(2004-02-01), 1-25 0928-0219 12:1<1 2004 12 jiip CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter