|COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring.|
Generic free surface singularities
If you have a question about this talk, please contact Mustapha Amrani.
Topological Dynamics in the Physical and Biological Sciences
Many important partial differential equations used in engineering or theoretical physics describe the motion of lines or surfaces. Locations of particular interest are those where the motion becomes (nearly) singular, and the line or surface forms a cusp or a tip with a very large curvature. Physical examples occur when viscous fluid is poured into a beaker, or when caustics form at the bottom of a coffee cup.
Recent work suggests the structure of many such singularities can be understood using a local geometrical description. The local shape corresponds exactly to a solution of the partial differential equation. Building on this insight, we propose a preliminary classification of such singular points, including higher dimensions of both the surface and the space it lives in. We also investigate how the observed singularity can be understood from the point of view of the dynamical equation, and how the geometrical description could be used in more complex situations.
This talk is part of the Isaac Newton Institute Seminar Series series.
This talk is included in these lists:
Note that ex-directory lists are not shown.
Other listsEngineers Without Borders- Cambridge: Talks Environment on the Edge Perspectives on Inclusive and Special Education
Other talksSMR Economics Of Knots and Blocks: Dwelling in Smooth Space What is the Cambridge Society for Economic Pluralism and Why is it Needed? Dissident Voices in Theorising Europe: Another Theory is Possible Plenary Lecture 3: Are simple models more general? Physics, nanotechnology and the future of medicine and biology