BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Arnab Roy (Math. Inst. Czech Academy of Sciences) DTSTART:20201207T144000Z DTEND:20201207T161000Z DTSTAMP:20260405T175009Z UID:NSCM/11 DESCRIPTION:Title: Ex istence of strong solutions for a system of interaction between a compress ible viscous fluid and a wave equation\nby Arnab Roy (Math. Inst. Czec h Academy of Sciences) as part of Nečas Seminar on Continuum Mechanics\n\ n\nAbstract\nIn this talk\, we consider a fluid-structure interaction syst em\nwhere the fluid is viscous and compressible and where the structure i s\na part of the boundary of the fluid domain and is deformable. The flui d\nis governed by the barotropic compressible Navier-Stokes system whereas \nthe structure displacement is described by a wave equation. The\nreferen ce configuration for the fluid domain is a rectangular cuboid\nwith the el astic structure being the top face. We use a modified\nLagrangian change o f variables to transform the moving fluid domain into\nthe rectangular cub oid and then analyze the corresponding linear system\ncoupling a transport equation (for the density)\, a heat-type equation\nand a wave equation. T he corresponding results for this linear system\nand estimations of the co efficients coming from the change of variables\nallow us to perform a fixe d point argument and to prove the existence\nand uniqueness of strong solu tions for the nonlinear system\, locally in\ntime.\n LOCATION:https://researchseminars.org/talk/NSCM/11/ END:VEVENT END:VCALENDAR