# Dynamical Shape Control of Heat Equation, Introduction to Shape Topology by Tubes Geodesic

1 OPALE - Optimization and control, numerical algorithms and integration of complex multidiscipline systems governed by PDE
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR6621
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
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https://hal.inria.fr/inria-00070727
Contributor : Rapport de Recherche Inria <>
Submitted on : Friday, May 19, 2006 - 9:25:10 PM
Last modification on : Monday, October 12, 2020 - 2:28:02 PM
Long-term archiving on: : Sunday, April 4, 2010 - 9:47:56 PM

### Identifiers

• HAL Id : inria-00070727, version 1

### Citation

Jean-Paul Zolésio. Dynamical Shape Control of Heat Equation, Introduction to Shape Topology by Tubes Geodesic. RR-5271, INRIA. 2004, pp.27. ⟨inria-00070727⟩

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