The dynamical behavior of many systems in science and technology can be described by evolution equations. The fundamental examples
such as wave and Schrödinger equations, reaction-diffusion equations, and Navier Stokes equations are the mathematical foundation for the modeling of countless problems coming from, e.g., nonlinear optics, chemical reactions, population dynamics, and fluid mechanics. The conference will concentrate on two recent tends.
* Stochastic evolution equations which model system subjected to internal or environmental noise, possibly with random initial conditions.
* Stability of distinguished (e.g. wave) solutions and invariant measures for equations with non-linearities of critical order.
In both aspects of evolution equations - randomness and asymptotics - dramatic progress has been achieved in recent years through the influx of new methods from different branches of analysis, such as: stochastic analysis, harmonic analysis, partial differential equations and spectral theory. The conference will offer a forum for further exchange of ideas among experts from these branches of analysis.