An elastic membrane with an attached non-linear thermoelastic rod
International Journal of Applied Mathematics and Computer Science (2002)
- Volume: 12, Issue: 4, page 479-486
- ISSN: 1641-876X
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topHorn, Werner, and Sokołowski, Jan. "An elastic membrane with an attached non-linear thermoelastic rod." International Journal of Applied Mathematics and Computer Science 12.4 (2002): 479-486. <http://eudml.org/doc/207603>.
@article{Horn2002,
abstract = {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.},
author = {Horn, Werner, Sokołowski, Jan},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {non-linear partial differential equations; thermoelastic materials; elliptic boundary value problem; existence of a unique global weak solution; ixed point argument},
language = {eng},
number = {4},
pages = {479-486},
title = {An elastic membrane with an attached non-linear thermoelastic rod},
url = {http://eudml.org/doc/207603},
volume = {12},
year = {2002},
}
TY - JOUR
AU - Horn, Werner
AU - Sokołowski, Jan
TI - An elastic membrane with an attached non-linear thermoelastic rod
JO - International Journal of Applied Mathematics and Computer Science
PY - 2002
VL - 12
IS - 4
SP - 479
EP - 486
AB - 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.
LA - eng
KW - non-linear partial differential equations; thermoelastic materials; elliptic boundary value problem; existence of a unique global weak solution; ixed point argument
UR - http://eudml.org/doc/207603
ER -
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