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DTSTART;TZID=Europe/Madrid:20220603T090000
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CREATED:20220525T122449Z
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SUMMARY:Seminario: "Compressible flow initiated by a characteristic function"
DESCRIPTION:Seminario de ecuaciones\, impartido por Piotr B. Mucha (University of Warsaw). \nAbstract: We address a question concerning a motion of the perfect gas in the regime of two dimensional compressible Navier-Stokes system. We show the following fact:\nA flow initiated by an arbitrary velocity vector field (possibly large in H1) and an initial density given as a characteristic function of a measurable set exists uniquely\, globally in time\, provided that the bulk/volume viscosity is large enough. \nA key point of our analysis is the regularity of the density. Its features allow us to call it ripped\, since it can be rough – just bounded\, and vacuum may persist on merely measurable sets. The result is based on the so-called shift regularity technique and analysis of solutions with respect to streamlines. The main results give brand new information concerning regularity of solutions for general pressure laws. As an added value of our considerations we obtain rigorous justification of passing from the compressible Navier-Stokes system to the the inhomogeneous incompressible one\, even for densities with vacuum. \n\n\nFecha: Viernes 3 de junio de 2022\nLugar: Sala de Conferencias Fisymat.\nHorario: 9:00 h\nOrganiza: Instituto de Matemáticas UGR – IMAG\nMás información:\nimag@ugr.es\nhttps://twitter.com/IMAG_UGR
URL:https://canalugr.si2.dev/evento/seminario-compressible-flow-initiated-by-a-characteristic-function/
LOCATION:Facultad de Ciencias\, Campus Universitario de Fuentenueva\, Granada\, Granada\, 18071\, España
CATEGORIES:Conferencias, seminarios, divulgación científica
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