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

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

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. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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