Research Topics: Instabilities

M. Cousin-Rittemard  I. Gruais

Description: 

We are interessed in the study of the stability of large dimensional dynamical systems coming from the discretization of the PDE of fluid mechanics (oceanography, turbomachinery) and solids. In the frame of the dynamical system dynamics, the branches of steady states are carried out with continuation methods. A global approach is developped for the computation of the isolated - disjoint - branches.

Publications:

[3] N.M.M Cousin-Rittemard,  I. Gruais & H.A. Dijkstra, A priori estimation of a global Homotopy Residue Continuation Method, Numerical Functional Analysis and Optomization, vol 26, number 4-5, p507-521, 2005.

[2] M. Bellieud, I.Gruais, Homogenization of an elastic materiel reinforced by very stiff or heavy fibers. Non local effects. Memory effects, Journal de Math. Pures et Appli., To Appear.

[1] N.M.M Cousin-Rittemard,  H.A. Dijkstra, T. Zwagers,Was there a wind-driven Tethys Circumglobal Current in the Late Cretaceous?Earth and Planetary Science Letters, 203, 2, p741-753, 2002. [pdf file]