Skip to Main content Skip to Navigation
Theses

Fluides vitreux, sutures craniofaciales, diffusion réactive : quelques contributions à l'étude de ces systèmes multi-échelles ou singuliers

Abstract : We study multiscale mathematical models for various scientific fields: soft glassy rheology, biochemistry for balneotherapy, and the biomechanics of craniofacial suture development. In soft flassy rheology, we study a kinetic-type of model and justify mathematically some macroscopic properties of the model (especially the glass transition at low shear rate and the Newtonian behaviour at large shear rate) by noticing an analogy with the problem of obstacle penalization in fluid mechanics. Moreover, we propose a multidimensional generalization of this model in order to handle more general flow types. In biochemistry, we introduce a first, very simplified model and show how we can design a numerical scheme based on the modelling hypotheses. Finally we present a model for suture growth coupling biology and mechanics which accounts for the interdigitation pattern observed in practice.
Document type :
Theses
Complete list of metadata

https://tel.archives-ouvertes.fr/tel-00625455
Contributor : ABES STAR :  Contact
Submitted on : Wednesday, September 21, 2011 - 4:23:02 PM
Last modification on : Friday, March 25, 2022 - 9:44:17 AM
Long-term archiving on: : Thursday, December 22, 2011 - 2:30:59 AM

File

23089_OLIVIER_2011_archivage_1...
Version validated by the jury (STAR)

Identifiers

  • HAL Id : tel-00625455, version 1

Collections

Citation

Julien Olivier. Fluides vitreux, sutures craniofaciales, diffusion réactive : quelques contributions à l'étude de ces systèmes multi-échelles ou singuliers. Mathématiques générales [math.GM]. Université de Grenoble, 2011. Français. ⟨NNT : 2011GRENM028⟩. ⟨tel-00625455⟩

Share

Metrics

Record views

267

Files downloads

97