The mathematical description of many problems in science and engineering leads to linear and nonlinear partial differential equations in which time is a distinguished variable. In the course of studying these evolution equations, it turns out that analytical and numerical questions are often closely related. Moreover, probabilistic phenomena gained more and more attention not only in the community of stochastic analysis. It is, therefore, necessary to build bridges between these different fields of research.

This spring school intends to bring together students and younger researchers from different mathematical schools and to offer an environment to acquire basic and more advanced techniques in the field of evolution equations.

In a series of four lectures, each of four international experts will give an introduction and present new analytical as well as numerical results on topics of recent interest concerning the Navier-Stokes-Fourier equation, the nonlinear Schrödinger equation, the heat and wave equation driven by noise, and scalar conservation laws with a stochastic perturbation.

In order to enable an intensive exchange, to enhance the communication and lasting relationships, all the participants are encouraged to present their own work in a short talk or with a poster.