Abstract : We consider weak eulerian evolution of domains through the convection of a measurable set by a nonsmooth vector field $V$.We introduce the concept of tubes by ``product space'' and we show a closure result leading to existence results in non cylindrical shape evolution and a new shape metric using the tube geodesic
https://hal.inria.fr/inria-00070727 Contributor : Rapport de Recherche InriaConnect in order to contact the contributor Submitted on : Friday, May 19, 2006 - 9:25:10 PM Last modification on : Thursday, January 20, 2022 - 4:13:35 PM Long-term archiving on: : Sunday, April 4, 2010 - 9:47:56 PM
Jean-Paul Zolésio. Dynamical Shape Control of Heat Equation, Introduction to Shape Topology by Tubes Geodesic. RR-5271, INRIA. 2004, pp.27. ⟨inria-00070727⟩