English
Stabilization of random kinetic equations
Virtualconference
Auteurs : Herty, Michael (Auteur de la conférence)
CIRM (Editeur )
35B30 - Dependence of solutions of PDE on initial and boundary data, parameters, See also {58F14}
35B35 - Stability of solutions of PDE
35R60 - PDEs with randomness, stochastic PDE
93D20 - Asymptotic stability
37L45 - Hyperbolicity; Lyapunov functions
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2355/Slides/slide_Michael_HERTY.pdf
CIRM (Editeur )
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Résumé :
We are interested in the stabilisation of linear kinetic equations for applications in e.g. closed-loop feedback control. Progress has been made in recent years on stabilisation of hyperbolic balance equations using special Lyapunov functions. However, those are not necessarily suitable for the kinetic equation. We present results on kinetic equations under uncertainties and closed loop feedback control.
Mots-Clés : systems of kinetic and hyperbolic balance laws; exponential stability; asymptotic stability; stochastic Galerkin
Codes MSC : Mots-Clés : systems of kinetic and hyperbolic balance laws; exponential stability; asymptotic stability; stochastic Galerkin
35B30 - Dependence of solutions of PDE on initial and boundary data, parameters, See also {58F14}
35B35 - Stability of solutions of PDE
35R60 - PDEs with randomness, stochastic PDE
93D20 - Asymptotic stability
37L45 - Hyperbolicity; Lyapunov functions
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2355/Slides/slide_Michael_HERTY.pdf
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de Publication : 09/04/2021 Date de Captation : 23/03/2021 Sous Collection : Research talks Catégorie arXiv : Optimization and Control ; Numerical Analysis ; Mathematical Physics Domaine(s) : Théorie du Contrôle & Optimisation ; EDP ; Physique Mathématique Format : MP4 (.mp4) - HD Durée : 00:34:45 Audience : Chercheurs Download : https://videos.cirm-math.fr/2021-03-23_Herty.mp4 
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Informations sur la Rencontre
Nom de la Rencontre : Jean Morlet Chair 2021- Conference: Kinetic Equations: From Modeling Computation to Analysis / Chaire Jean-Morlet 2021 - Conférence : Equations cinétiques : Modélisation, Simulation et AnalyseOrganisateurs de la Rencontre : Bostan, Mihaï ; Jin, Shi ; Mehrenberger, Michel ; Montibeller, Celine Dates : 22/03/2021 - 26/03/2021 Année de la rencontre : 2021 URL de la Rencontre : https://www.chairejeanmorlet.com/2355.html
Données de citation
DOI : 10.24350/CIRM.V.19734103Citer cette vidéo: Herty, Michael (2021). Stabilization of random kinetic equations. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19734103 URI : http://dx.doi.org/10.24350/CIRM.V.19734103 |
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Bibliographie
- GERSTER, Stephan, HERTY, Michael, et YU, Hui. Hypocoercivity of stochastic Galerkin formulations for stabilization of kinetic equations. RWTH, p. 1-21. - https://www.igpm.rwth-aachen.de/Download/reports/pdf/IGPM503.pdf
