EXISTENCE AND UNIQUENESS OF A SOLUTION TO AN ADAPTIVE ELASTICITY MODEL

Citation
J. Monnier et L. Trabucho, EXISTENCE AND UNIQUENESS OF A SOLUTION TO AN ADAPTIVE ELASTICITY MODEL, Mathematics and mechanics of solids, 3(2), 1998, pp. 217-228
Citations number
5
Categorie Soggetti
Mathematics,Mathematics,Mechanics,"Material Science","Engineering, Mechanical
ISSN journal
10812865
Volume
3
Issue
2
Year of publication
1998
Pages
217 - 228
Database
ISI
SICI code
1081-2865(1998)3:2<217:EAUOAS>2.0.ZU;2-L
Abstract
In this work, the authors study the existence and uniqueness of soluti ons to an adaptive elasticity model applied to bone romodeling. Specif ically, the authors consider the model derived by Cowin and Hegedus di rectly from continuum mechanics theory. They use a fixed point argumen t to prove the existence of solutions and a straightforward adaptation of the Cowin and Nachlinger analysis to prove uniqueness.