# 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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