Evolution of form and shape

  • Tobias Holck Colding

    MIT, Dept. of Math., 77 Massachusetts Avenue, Cambridge, MA 02139-4307, USA
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The evolution of form and shape can be described by differential equations. Many of these equations originate in various branches of science and engineering. They are fundamental and in a sense canonical. The fact that they make sense geometrically means that they are relevant everywhere and have fundamental properties that appear over and over in many settings. Understanding them requires simultaneous insight into analysis and geometry and the interplay between these.