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DTSTAMP:20250305T135536
DTSTART;TZID=America/Detroit:20250313T153000
DTEND;TZID=America/Detroit:20250313T162000
SUMMARY:Lecture / Discussion:The Department of Astronomy 2024-2025 Colloquium Series Presents:
DESCRIPTION:\"ESO’ Extremely Large Telescope\"\n\nDuring this talk\, the European Southern Observatory Extremely Large Telescope Programme will be described\, from the scientific motivations for this 38-m telescope to the status of the construction in Chile. Special attention will be given to the scientific instrumentation planned to meet the science goals of astronomers when the telescope comes in to operation before the end of the decade. Three instruments and a facility adaptive optics system are in construction with the early design phases of the next generation well underway.
UID:133456-21873119@events.umich.edu
URL:https://events.umich.edu/event/133456
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:astronomy,astrophysics
LOCATION:West Hall - 411
CONTACT:
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DTSTAMP:20250224T152602
DTSTART;TZID=America/Detroit:20250313T160000
DTEND;TZID=America/Detroit:20250313T170000
SUMMARY:Workshop / Seminar:Differential Equations Seminar: Strong solutions to the inhomogeneous kinetic wave equation
DESCRIPTION:We will talk about global dispersive solutions to the space inhomogeneous kinetic wave equation (KWE) which propagate $L^1_{xv}$ -- moments and conserve mass\, momentum and energy. We prove that they scatter\, and that the wave operators mapping the initial data to the scattering states are 1-1\, onto and continuous in a suitable topology.\n\nThis is the first global existence result for strong solutions for KWE. This contrasts with prior global existence results for mild solutions\, which satisfy a transported version of the equation but do not solve the equation itself. \n\nOur proof is carried out entirely in physical space and combines dispersive estimates for the free transport with new trilinear bounds for the gain and loss operators of the KWE on weighted Lebesgue spaces. The main difficulty is the fast growth of the hard-sphere kernel. Our fundamental tool to handle it is a novel collisional averaging estimate.\n\nWe also show that the nonlinear evolution preserves positivity forward in time. For this\, we use the Kaniel-Shinbrot iteration scheme\, properly initialized to ensure successive approximations are dispersive.
UID:131497-21868633@events.umich.edu
URL:https://events.umich.edu/event/131497
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 1360
CONTACT:
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