Published July 2004 | Version v1
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Dynamical Shape Control of Heat Equation, Introduction to Shape Topology by Tubes Geodesic

Zolésio, Jean-Paul
Others:
Optimization and control, numerical algorithms and integration of complex multidiscipline systems governed by PDE (OPALE) ; Inria Sophia Antipolis - Méditerranée (CRISAM) ; Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jean Alexandre Dieudonné (JAD) ; Université Nice Sophia Antipolis (1965 - 2019) (UNS) ; COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (1965 - 2019) (UNS) ; COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)
INRIA

Description

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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Created:
December 3, 2022
Modified:
November 17, 2023