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Stabilization of random kinetic equations
Virtualconference
Authors : Herty, Michael (Author of the conference)
CIRM (Publisher )
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
Additional resources :
https://www.cirm-math.fr/RepOrga/2355/Slides/slide_Michael_HERTY.pdf
CIRM (Publisher )
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Abstract :
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.
Keywords : systems of kinetic and hyperbolic balance laws; exponential stability; asymptotic stability; stochastic Galerkin
MSC Codes : Keywords : 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
Additional resources :
https://www.cirm-math.fr/RepOrga/2355/Slides/slide_Michael_HERTY.pdf
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 09/04/2021 Conference Date : 23/03/2021 Subseries : Research talks arXiv category : Optimization and Control ; Numerical Analysis ; Mathematical Physics Mathematical Area(s) : Control Theory & Optimization ; PDE ; Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 00:34:45 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2021-03-23_Herty.mp4 
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Information on the Event
Event Title : Jean Morlet Chair 2021- Conference: Kinetic Equations: From Modeling Computation to Analysis / Chaire Jean-Morlet 2021 - Conférence : Equations cinétiques : Modélisation, Simulation et AnalyseEvent Organizers : Bostan, Mihaï ; Jin, Shi ; Mehrenberger, Michel ; Montibeller, Celine Dates : 22/03/2021 - 26/03/2021 Event Year : 2021 Event URL : https://www.chairejeanmorlet.com/2355.html
Citation Data
DOI : 10.24350/CIRM.V.19734103Cite this video as: 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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Bibliography
- 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
