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            <title xml:lang="en">Instabilities and modeling of falling film flows</title>
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                <title xml:lang="en">Instabilities and modeling of falling film flows</title>
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                <authority type="jury">Patrice Laure (rapporteur)</authority>
                <authority type="jury">Ranga Narayanan (rapporteur)</authority>
                <authority type="jury">Jean-Paul Vila (rapporteur)</authority>
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                <term xml:lang="en">falling liquid films</term>
                <term xml:lang="en">long waves</term>
                <term xml:lang="en">low-dimensional modeling</term>
                <term xml:lang="en">instabilities</term>
                <term xml:lang="fr">instabilités</term>
                <term xml:lang="fr">modéliation</term>
                <term xml:lang="fr">ondes longues</term>
                <term xml:lang="fr">films liquides tombants</term>
                <term xml:lang="fr">Rayleigh-Plateau</term>
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                <term xml:lang="fr">Kelvin-Helmholtz</term>
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              <p>This manuscript presents a synthesis of research activities devoted to the study and low-dimensional modeling of long-wave instabilities in general and to falling film flows in particular. The different methodologies are discussed in Chapter~1 and applied to the modeling of inertial flows in a Hele-Shaw cell. Chapter~2 is devoted to the Kapitza instability of a falling film. Chapter~3 and 4 investigate the coupling of the Kapitza instability with the Marangoni (heated films) and the Rayleigh-Plateau instabilities (films running down fibers). Chapter~5 presents recent works on non-Newtonian falling films, films running on porous media and some current works on films sheared by a gas stream.</p>
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              <p>Ce mémoire présente une synthèse de travaux de recherche portant sur l'étude et la modélisation d'instabilités de grandes longueurs d'ondes en général et de films liquides tombants en particulier. Les différentes méthodes sont discutées au chapitre~1 et appliquées aux écoulements inertiels en cellule de Hele-Shaw. L'instabilité Kapitza d'un film tombant est étudiée au chapitre~2. Les couplages de l'instabilité Kapitza avec les instabilités Marangoni (films chauffés) et Rayleigh-Plateau (films sur fibres) font l'objet des chapitres~3 et 4. Le chapitre~5 présente mes derniers travaux sur les films non-Newtoniens, en présence d'une paroi poreuse ou encore cisaillés par un écoulement gazeux.</p>
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