Stabilisation avec retard de l'équation de Korteweg-de Vries sur un réseau de type étoile

Autor: Hugo Parada, Emmanuelle Crépeau, Christophe Prieur

Publikováno v: Mathematics of Control, Signals, and Systems
Mathematics of Control, Signals, and Systems, 2022, 34 (3), pp.559-605. ⟨10.1007/s00498-022-00319-0⟩

International audience; In this work we deal with the exponential stability of the nonlinear Kortewegde Vries (KdV) equation on a finite star-shaped network in the presence of delayed internal feedback. We start by proving the well-posedness of the s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::731f4196bc6480d24809abb6ce501cd9
https://hal.science/hal-03177446

Projections d’habitants face à des données climatiques localisées : Ruse rétrospective pour un territoire apprenant

Autor: Emmanuelle Crépeau, Dominique Bachelart

Publikováno v: Éducation relative à l'environnement.

L’article présente les actions conduites par un Parc naturel régional (PNR) français avec des habitants de son territoire pour les sensibiliser aux changements climatiques. La nature même des enjeux climatiques soulève de délicates questions

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf6a06beff85ef729318f95ca4b48079
https://doi.org/10.4000/ere.7254

Internal null controllability of the generalized Hirota-Satsuma system

Autor: Nicolás Carreño, Eduardo Cerpa, Emmanuelle Crépeau

Publikováno v: ESAIM: Control, Optimisation and Calculus of Variations
ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2020, 26, pp.75:1-22. ⟨10.1051/cocv/2019062⟩
ESAIM: Control, Optimisation and Calculus of Variations, 2020, 26, pp.75:1-22. ⟨10.1051/cocv/2019062⟩
ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2020, 26, pp.75. ⟨10.1051/cocv/2019062⟩

International audience; The generalized Hirota-Satsuma system consists of three coupled nonlinear Korteweg-de Vries (KdV) equations. By using two distributed controls it is proven in this paper that the local null controllability property holds when

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b9807278ae7122393381aed0b52c066
https://hal.archives-ouvertes.fr/hal-02060951

Well-posedness and stabilization of the Benjamin-Bona-Mahony equation on star-shaped networks

Autor: Kaïs Ammari, Emmanuelle Crépeau

Publikováno v: Systems and Control Letters
Systems and Control Letters, Elsevier, 2019, 127, pp.39-43. ⟨10.1016/j.sysconle.2019.03.005⟩
Systems and Control Letters, 2019, 127, pp.39-43. ⟨10.1016/j.sysconle.2019.03.005⟩

International audience; We study the stabilization issue of the Benjamin–Bona–Mahony (BBM) equation on a finite star-shaped network with a damping term acting on the central node. In a first time, we prove the well-posedness of this system. Then

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::be1ca81c03438fe0fdd3f8b3c6e09c2d
https://hal.archives-ouvertes.fr/hal-02044249

Two approaches for the stabilization of nonlinear KdV equation with boundary time-delay feedback

Autor: Julie Valein, Emmanuelle Crépeau, Lucie Baudouin

Publikováno v: IEEE Transactions on Automatic Control
IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2019, 64 (4), pp.1403-1414. ⟨10.1109/TAC.2018.2849564⟩
IEEE Transactions on Automatic Control, 2019, 64 (4), pp.1403-1414. ⟨10.1109/TAC.2018.2849564⟩

International audience; This article concerns the nonlinear Korteweg-de Vries equation with boundary time-delay feedback. Under appropriate assumption on the coefficients of the feedbacks (delayed or not), we first prove that this nonlinear infinite

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5353feb085fd546afe29d794e7ccb022
http://arxiv.org/abs/1711.09696