BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:S.V. Meleshko DTSTART:20210415T110000Z DTEND:20210415T120000Z DTSTAMP:20260423T024019Z UID:mmandim/20 DESCRIPTION:Title: On generalized simple waves in continuum mechanics\nby S.V. Meleshko as part of Mathematical models and integration methods\n\n\nAbstract\nOne of the well-known classes of solutions of many models of continuum mechani cs is a set of solutions called simple wave-type solutions. From the metho d of differential constraints point of view\, this class of solutions is d escribed by homogeneous differential constraints. Application of the meth od of differential constraints allows one to generalize this class. The ma in feature of this class of solutions is that finding a solution of the or iginal system of equations is reduced to solving a system of ordinary diff erential equations. In particular\, the presentation will show that findin g a solution of any Cauchy problem of a homogeneous system of equations wr itten in Riemann invariants\, admitting a differential constraint\, is red uced to solving the Cauchy problem of system of ordinary differential equa tions. This is similar to the method of characteristics for a partial diff erential equation with a single dependent variable. Illustrations of solut ions for some initial data are given. Several models will be demonstrated in the presentation.\n LOCATION:https://researchseminars.org/talk/mmandim/20/ END:VEVENT END:VCALENDAR