Shape Sensitivity and Large Deformation of the Domain for Norton-Hoff Flows

doi:https://doi.org/10.1007/978-3-0348-8691-8_14

Book Chapter10.1007/978-3-0348-8691-8_14

Shape Sensitivity and Large Deformation of the Domain for Norton-Hoff Flows

Nicolás Gómez,Jean-Paul Zolésio-1999-01-01-Birkhäuser Basel eBooks

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TL;DRAbstract

In this paper, we derive new results concerning shape control and analysis for non-newtonian fluids. Via the speed-method, we prove the continuity of the weak-solution of Norton-Hoff problem with respect to the domain and the shape-differentiability of the energy functional. From the so-called Shape Differential Equation, we prove the existence of a virtual large deformation of the domain that increase the energy functional.

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In this paper, we derive new results concerning shape control and analysis for non-newtonian fluids. Via the speed-method, we prove the continuity of the weak-solution of Norton-Hoff problem with respect to the domain and the shape-differentiability of the energy functional. From the so-called Shape Differential Equation, we prove the existence of a virtual large deformation of the domain that increase the energy functional.

Keywords

Differentiable functionDomain (mathematical analysis)Sensitivity (control systems)Deformation (meteorology)Newtonian fluidEnergy functionalDifferential (mechanical device)Energy (signal processing)

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