Upcoming talks
Monday 30 October
Speaker: Daniel Heydecker (Postdoctoral researcher, Max-Planck Institute for Mathematics in the Sciences, Leipzig, Germany)
Title: Dynamic Large Deviations: In search of matching bounds
Abstract: We discuss the dynamical large deviations of two models: Kac’s model of the Boltzmann Equation and a rescaled zero-range process converging to the porous medium equation. For these models, we discuss the challenges and successes of finding matching bounds, relationships to challenges of PDE theory, and the connection to the equality case of classical inequalities.
Past talks
Monday 16 October
Speaker: Daniel Marroquin (Federal University of Rio de Janeiro)
Title: Invariant measures for stochastic parabolic-hyperbolic equations in the space of almost periodic functions
Abstract: We study the well-posedness and the long-time behavior of almost periodic solutions to stochastic conservation laws and stochastic degenerate parabolic-hyperbolic equations in any space dimension, under the assumption of Lipschitz continuity of the flux and viscosity functions and a non-degeneracy condition. We show the existence and uniqueness of an invariant measure in a separable subspace of the space of Besicovitch almost periodic functions. This is a joint work with Hermano Frid and Claudia Espitia.