An existence and uniqueness result in bone remodeling theory
Monnier, Jerome ; Trabucho, L.
HAL, inria-00256528 / Harvested from HAL
In this work we study the existence and unicity of solutions to an Adaptive Elasticity Model applied to bone remodeling. Specifically, we consider the model derived by Cowin and Hegedus, directly from continuum mechanics theory. We use a fixed point argument in order to prove the existence of solutions and a straightforward adaptation of the Cowin and Nachlinger analysis in order to prove uniqueness.
Publié le : 1998-07-05
Classification:  Adaptive elasticity,  internal bone remodeling,  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP],  [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA]
@article{inria-00256528,
     author = {Monnier, Jerome and Trabucho, L.},
     title = {An existence and uniqueness result in bone remodeling theory},
     journal = {HAL},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/inria-00256528}
}
Monnier, Jerome; Trabucho, L. An existence and uniqueness result in bone remodeling theory. HAL, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/inria-00256528/