An elastic membrane with an attached non-linear thermoelastic rod

• Autorzy: Werner Horn , Jan Sokołowski
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

non-linear partial differential equations; thermoelastic materials

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2002
• Tom: 12
• Numer: 4
• Strony: 479-486

Daty

wydano

2002

otrzymano

2001-05-17

poprawiono

2002-01-31

Twórcy

autor

Werner Horn

• Mathematics Department, California State University, Northridge, CA 913308313, USA

autor

Jan Sokołowski

• Institut Elie Cartan, Université Henri Poincaré Nancy I, B. P. 239, 54506 Vandoeuvre les Nancy Cedex, France, France

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