Joerg Wegener,
Mathematical Statistics,
Lund University

Title: 
Stochastic fields with embedded shallow water dynamics

Abstract: The deterministic shallow water equations (SWEs) are frequently
  used as a toy model to verify new techniques supposed to enter the
  milieu of numerical weather prediction. To combine stochastic and de-
  terministic modeling, we propose a random field whose dynamics are
  governed by the shallow water formalism. The dynamics are intro-
  duced by embedding deterministic velocities into a stochastic tempo-
  spatial Gaussian model. In this way, a dynamically inactive stochastic
  field with given spatial and temporal covariance structure gains dy-
  namics that in general follow a deterministic pattern. The observed
  motion can be interpreted as movement of a stochastically distorted
  shallow water flow.

  The seminar will be a journey through the areas of fluid dynamics,    
  weather prediction and stochastic modeling.