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2002 | 12 | 4 | 479-486
Tytuł artykułu

An elastic membrane with an attached non-linear thermoelastic rod

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We study a thermo-mechanical system consisting of an elastic membrane to which a shape-memory rod is glued. The slow movements of the membrane are controlled by the motions of the attached rods. A quasi-static model is used. We include the elastic feedback of the membrane on the rods. This results in investigating an elliptic boundary value problem in a domain Ω ⊂ R^2 with a cut, coupled with non-linear equations for the vertical motions of the rod and the temperature on the rod. We prove the existence of a unique global weak solution to this problem using a fixed point argument.
Opis fizyczny
  • Mathematics Department, California State University, Northridge, CA 913308313, USA
  • Institut Elie Cartan, Université Henri Poincaré Nancy I, B. P. 239, 54506 Vandoeuvre les Nancy Cedex, France, France
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