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This volume collects some contributed papers by the participants to the workshop -Singularities in nonlinear evolution phenomena and applications-, which was held at the Centro di Ricerca Matematica E. De Giorgi, from May 26th to May 30th, 2008.

The topic of the workshop was the formation and the evolution of singular structures, like systems of points, curves and surfaces.

Such questions naturally arise in many models from physics, biology, image processing and applied mathematics in general, and have attracted a lot of attention in recent years. Their analysis requires...

This book is the outcome of a conference held at the Centro De Giorgi of the Scuola Normale of Pisa in September 2012. The aim of the conference was to discuss recent results on nonlinear partial differential equations, and more specifically geometric evolutions and reaction-diffusion equations. Particular attention was paid to self-similar solutions, such as solitons and travelling waves, asymptotic behaviour, formation of singularities and qualitative properties of solutions. These problems arise in many models from Physics, Biology, Image Processing and Applied Mathematics in general, and...