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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-b3f9a0026fb6e31d468ed053f43eb6fb@cmc.deusto.eus
DTSTART:20250704T093000Z
DTEND:20250704T113000Z
DTSTAMP:20250510T010700Z
CREATED:20250510
LAST-MODIFIED:20250611
PRIORITY:5
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SUMMARY:DeustoCCM Seminar by R. Lecaros and J. Lopez
DESCRIPTION:Date: Fri. July 4, 2025\nEvent: DeustoCCM Seminar\nSession 01 (11:30H)\nTitle: Lipschitz stability in inverse problems for semi-discrete parabolic operators\nSpeaker: Prof. Rodrigo Lecarós\nAffiliation: Universidad Técnica Federico Santa María, Chile\nAbstract.  This presentation will address an inverse problem for a semi-discrete parabolic equation, where the objective is to identify the term on the right-hand side of the equation (the source) from measurements of the solution at an intermediate time and within a spatial subdomain. From this result, a stability estimate can be established for the potential function when it depends solely on space.\nA new Carleman estimate will be presented in the semi-discrete context, whose parameter dependence is determined by the mesh size. Furthermore, it will analyze how the discrete terms arising in the Carleman inequality introduce an error term associated with the initial condition of the solution in the semi-discrete system.\nSession 02 (12:30H)\nTitle:  On the controllability of the water-waves equation in bounded domains \nSpeaker: Prof.  Juan Carlos López Ríos\nAffiliation: Universidad Industrial de Santander, Colombia\nAbstract.  We present the mathematical problem of controlling the waves in a domain, by injecting fluid jets through the walls; in the context of gravity waves (incompressible, non-viscous fluids). Using conformal mappings and the Dirichlet-Neumann operator, the problem is formulated as a second order evolutionary equation on the free surface, involving a nonlocal, self adjoint operator. We develop the appropriate functional framework to have solutions and study exact and approximate controllability through observability and a unique continuation principle. The results are based on works published in [1] and [2].\nReferences\n[1] M. A. Fontelos, R. Lecaros, J. López-Ríos, and A. Pérez. On the unique continuation property for the two-dimensional sloshing problem. Z. Angew. Math. Phys., Accepted, 2025.\n[2] M. A. Fontelos and J. López-Ríos. Controllability of surface gravity waves and the sloshing problem. ESAIM Control Optim. Calc. Var., 29:Paper No. 65, 29, 2023.\nWHERE\nUniversity of Deusto, DeustoTech.\nRoom: Logistar\nUnibertsitate Etorb., 24, 48007 Bilbao, Bizkaia\n
URL:https://cmc.deusto.eus/events-calendar/deustoccm-seminar-04jul2025/
ORGANIZER;CN=DeustoCCM - Chair of Computational Mathematics:MAILTO:
CATEGORIES:Events Calendar,Events Calendar Past
LOCATION:Unibertsitate Etorb., 24, 48007 Bilbao, Bizkaia
ATTACH;FMTTYPE=image/png:https://cmc.deusto.eus/wp-content/uploads/DeustoCCMseminar_rLecaros_jcLopez_04jul2025.png
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