Stochastic Partial Differential Equations and Their Applications

This volume consists of 24 papers submitted for publicationby the invited speakers of the IFIP International Conferenceon Stochastic Partial Differential Equations and their Ap-plications. Most of them are research papers, however, a fewsurveys written by world renowed experts are also included.The aim of the conference was to bring together mathematici-ans, physicists and engineers representing academic as wellas industrial fields, interested in the theory and applica-tions of SPDE's. The field of SPDE's is one of the most dy-namically developing areas at the cross roads of severalsciences. It is especially attractive for many because ofits interdisciplinary character and enormous richness ofal-ready existing as well as potential applications. There wereabout one hundred participants registered for the conferen-ce. With rare exceptions, all of the most active researchersin the field of SPDE's throughout the world were present atthe conference. The main topics for discussion at the confe-rence were: non-linear SPDE's and Markov property for randomfields, modern stochastic calculuses, numerical and asympto-tic methods for SPDE's, applications of SPDE's with emphasisonnon-linear filtering, stochastic control and statisticalfluid dynamics.