International Conference on Advances in

Partial Differential Equations and their Applications

Fudan University, Shanghai, China

May 31--June 4, 2010

Objectives

    Partial Differential Equations, particularly nonlinear partial differential equations, have experienced major developments over the past 30 years in their analysis, computation and applications to other fields. These developments have had profound implications and applications in mathematics, science, engineering and industry.  Indeed, PDE has become a major tool in science and engineering with ever increasing list of areas of applications. For instance it is without exaggeration that PDE is the most important tool in climate change study since most of the models in geophysical fluid problems are represented in terms of various nonlinear partial differential equations. It is only through the careful study of these PDEs that we are able to better understand the current weather and climate, predict the future, and possibly develop scientifically sound remedial strategies  (such as various CO2 sequestration technique) to curb global warming.

    Applications such as geophysical fluid dynamics require the solution of large systems of coupled (highly nonlinear) PDEs with multiple spatial and temporal scales and various uncertainties. As the problems become ever complex and challenging, it is more and more difficult or even impossible to solve these problems by isolated individuals or small groups of researchers. It also becomes more essential for people working in different but related areas (such as modeling, analysis and computation) to exchange ideas in order to make reasonable progress in some pressing issues such as global warming.  Since face to face interaction is important to effective exchange of ideas and collaborations, to meet the need and to facilitate such an interaction it is vital to bring together researchers with similar research interests to international conferences.  Such kind of community-wise research activities also serve the purpose of enhancing and promoting collaborations between the Chinese and international researchers in mathematical and applied sciences, which in turn contributes critically to the course of solving the above mentioned challenging scientific problems.

    This conference  will also mark Professor Roger Temam's 70th birthday and  serve as a recognition of Professor Temam's fundamental contributions to the mathematical theory and applications of partial differential equations, his dedication to the mathematical community as well as his scientific impact on many Chinese mathematicians.