Aim and Scope: 

 

In last twenty years we have witnessed great progress in the theory of nonlinear partial differential equations (PD Es) and their applications on physical and biological environments. For example, in the area of diffusions coupled systems of nonlinear PDEs are used to model pattern formation phenomena in biology. With energy dissipation they can also describe complex fluids, electrolytes and liquid crystals. On the mathematical side, coupled systems of nonlinear PD Es may bring about increasing difficulties which requires innovative ideas or techniques of multi-disciplinary approach. Mathematical tools have been developed to handle various realistic biological and physical problems in general, while technological developments in several fields have presented many problems in which the specific property of nonlinear PDEs play a central role. In particular, we have seen many innovative ideas and techniques in the studies of unique continuation, mean curvature flow and hannonic maps, together with their application in physics and biology. We see a unique opportunity to bring analysts in different fields in this workshop, with the goal of catalyzing breakthroughs in developing new theories and techniques.