Universality and well-posedness for a time-inhomogeneous KPZ equation
Location
Bldg. 380, Room 384I
Sloan Math Corner
Sloan Math Corner
Event Series
Event Type
Seminar
Wednesday, February 22, 2023 4:30 PM
Kevin Yang (Harvard University)
This talk has two goals. The first is a derivation of a time-inhomogeneous KPZ equation from fluctuations in a Ginzburg–Landau SDE in nonequilibrium. The method is a fluctuation-scale analog of Yau's method for hydrodynamic limits in nonequilibrium. The second is well-posedness of the limit KPZ equation itself, which has a log nonlinearity that is absent in the time-homogeneous case. A number of questions in the spirit of nonequilibrium statistical mechanics (e.g., hysteresis in the microscopic model) will also be addressed, as well as further extensions.
This is a joint Probability & Applied Math Seminar.