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X-ORIGINAL-URL:https://cmc.deusto.eus/
X-WR-CALNAME:cmc.deusto.eus
X-WR-CALDESC:DeustoCCM - Chair of Computational Mathematics at University of Deusto
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UID:MEC-898b5da2c62fa1cc9fc1e5c8f204f41f@cmc.deusto.eus
DTSTART:20231120T133000Z
DTEND:20231120T150000Z
DTSTAMP:20251031T222900Z
CREATED:20251031
LAST-MODIFIED:20251031
PRIORITY:5
TRANSP:OPAQUE
SUMMARY:A survey on partially dissipative systems: global well-posedness and strong relaxation limit in the critical regularity setting
DESCRIPTION:Next Monday November 20, 2023 our postdoctoral researcher Dr. Timothée Crin-Barat will talk on “A survey on partially dissipative systems: global well-posedness and strong relaxation limit in the critical regularity setting” at the Nanjing University of Aeronautics and Astronautics, China.\nAbstract. In this talk, we review recent results on so-called partially dissipative hyperbolic systems. Such systems model physical phenomena with degenerate dissipative or diffusive terms and appear in many evolution equations. For example, in gas dynamics where the mass is conserved during the evolution, but the momentum balance includes a diffusion (viscosity) or damping (relaxation) term.\nFirst, we show how to derive sharp stability estimates for linear partially dissipative systems when the algebraic Kalman rank condition (equivalent to the classical Shizuta- Kawashima condition) is satisfied. This linear analysis allows us to establish global-in-time existence and large-time behaviour results in a critical regularity framework for nonlinear partially dissipative hyperbolic systems, using a precise frequency decomposition of the solution via the Littlewood-Paley theory.\nThen, we interpret partially dissipative systems as hyperbolic relaxations and study the strong relaxation, in a Lp framework, of the compressible Euler system with damping toward the porous media equation. This is a joint work (Mathematische Annalen ’23) with R. Danchin.\nWHEN\nMon. November 20, 2023 at 14:30H\nWHERE\nNanjing University of Aeronautics and Astronautics\n29 Yudao St., Nanjing, Jiangsu Province\nChina\n\n
URL:https://cmc.deusto.eus/events-calendar/a-survey-on-partially-dissipative-systems-global-well-posedness-and-strong-relaxation-limit-in-the-critical-regularity-setting/
CATEGORIES:EZuazua,Seminar/Talk,Workshop
ATTACH;FMTTYPE=image/png:https://cmc.deusto.eus/wp-content/uploads/NanjingUni_tCrinBarat_20nov2023.png
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