Diffeomorphic shape evolution coupled with ...
Type de document :
Compte-rendu et recension critique d'ouvrage
DOI :
Titre :
Diffeomorphic shape evolution coupled with a reaction-diffusion PDE on a growth potential
Auteur(s) :
Hsieh, Dai-Ni [Auteur]
Arguillère, Sylvain [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Charon, Nicolas [Auteur]
Johns Hopkins University [JHU]
Younes, Laurent [Auteur]
Johns Hopkins University [JHU]
Arguillère, Sylvain [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Charon, Nicolas [Auteur]
Johns Hopkins University [JHU]
Younes, Laurent [Auteur]
Johns Hopkins University [JHU]
Titre de la revue :
Quarterly of Applied Mathematics
Éditeur :
American Mathematical Society
Date de publication :
2021-08-24
ISSN :
0033-569X
Discipline(s) HAL :
Mathématiques [math]/Optimisation et contrôle [math.OC]
Mathématiques [math]/Géométrie différentielle [math.DG]
Mathématiques [math]/Géométrie différentielle [math.DG]
Résumé en anglais : [en]
This paper studies a longitudinal shape transformation model in which shapes are deformed in response to an internal growth potential that evolves according to an advection reaction diffusion process. This model extends ...
Lire la suite >This paper studies a longitudinal shape transformation model in which shapes are deformed in response to an internal growth potential that evolves according to an advection reaction diffusion process. This model extends prior works that considered a static growth potential, i.e., the initial growth potential is only advected by diffeomorphisms. We focus on the mathematical study of the corresponding system of coupled PDEs describing the joint dynamics of the diffeomorphic transformation together with the growth potential on the moving domain. Specifically, we prove the uniqueness and long time existence of solutions to this system with reasonable initial and boundary conditions as well as regularization on deformation fields. In addition, we provide a few simple simulations of this model in the case of isotropic elastic materials in 2D.Lire moins >
Lire la suite >This paper studies a longitudinal shape transformation model in which shapes are deformed in response to an internal growth potential that evolves according to an advection reaction diffusion process. This model extends prior works that considered a static growth potential, i.e., the initial growth potential is only advected by diffeomorphisms. We focus on the mathematical study of the corresponding system of coupled PDEs describing the joint dynamics of the diffeomorphic transformation together with the growth potential on the moving domain. Specifically, we prove the uniqueness and long time existence of solutions to this system with reasonable initial and boundary conditions as well as regularization on deformation fields. In addition, we provide a few simple simulations of this model in the case of isotropic elastic materials in 2D.Lire moins >
Langue :
Anglais
Vulgarisation :
Non
Collections :
Source :
Fichiers
- document
- Accès libre
- Accéder au document
- 2101.06508.pdf
- Accès libre
- Accéder au document