BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Jonathan Mattingly (Duke) DTSTART:20210602T120000Z DTEND:20210602T130000Z DTSTAMP:20260423T005652Z UID:SPDEs/10 DESCRIPTION:Title: T he Gaussian Structure of the Stochastically Forced Burgers Equation and re lated problems\nby Jonathan Mattingly (Duke) as part of Stochastic PDE s and their friends\n\n\nAbstract\nI will explain some recent results whic h show that the law of the stochastic burgers equation at a fixed time t i s absolutely continuous with respect to the natural Gaussian measure on th e spatial domain. The results will apply to forcing just up to the point w here the roughness of the forcing corresponds to the classical KPZ equatio n in the Burgers setting. As one approaches this level of roughness\, the equations must be understood in as a Singular SPDEs (in the sense of Haire r ). As such the construction helps illuminate the structure of the equati on and makes clear in what sense we might call these equations “truly” elliptic in this infinite dimensional setting. I will also make comments connecting back to previous results on the 2D Naiver Stokes equation. This work is joint with Marco Romito and Langxuan Su and builds on work with A ndrea Watkins Hairston.\n LOCATION:https://researchseminars.org/talk/SPDEs/10/ END:VEVENT END:VCALENDAR