Geodesic
Global existence for a non-local mean curvature flow as a limit of a parabolic-elliptic phase transition model
Danielle Hilhorst1 ; Elisabeth Logak2 ; Reiner Schätzle3
1Université Paris-Sud, Orsay, France
2Université de Cergy-Pontoise, France
3Universität Tübingen, Germany
Interfaces and free boundaries, Tome 2 (2000) no. 3, pp. 267-282

Voir la notice de l'article provenant de la source EMS Press

DOI

We consider a free boundary problem where the velocity depends on the mean curvature and on some non-local term. This problem arises as the singular limit of a reaction-diffusion system which describes the microphase separation of diblock copolymers. The interface may present singularities in finite time. This leads us to consider weak solutions on an arbitrary time interval and to prove the global-in-time convergence of solutions of the reaction-diffusion system.
DOI : 10.4171/ifb/20
Classification : 46-XX, 60-XX
Mots-clés : free boundary problems; mean curvature; reaction-diffusion systems; microphase separation; diblock copolymers

Danielle Hilhorst  1   ; Elisabeth Logak  2   ; Reiner Schätzle  3

1 Université Paris-Sud, Orsay, France
2 Université de Cergy-Pontoise, France
3 Universität Tübingen, Germany 
Danielle Hilhorst; Elisabeth Logak; Reiner Schätzle. Global existence for a non-local mean curvature flow as a limit of a parabolic-elliptic phase transition model. Interfaces and free boundaries, Tome 2 (2000) no. 3, pp. 267-282. doi: 10.4171/ifb/20
@article{10_4171_ifb_20,
     author = {Danielle Hilhorst and Elisabeth Logak and Reiner Sch\"atzle},
     title = {Global existence for a non-local mean curvature flow as a limit of a parabolic-elliptic phase transition model},
     journal = {Interfaces and free boundaries},
     pages = {267--282},
     year = {2000},
     volume = {2},
     number = {3},
     doi = {10.4171/ifb/20},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/20/}
}
TY  - JOUR
AU  - Danielle Hilhorst
AU  - Elisabeth Logak
AU  - Reiner Schätzle
TI  - Global existence for a non-local mean curvature flow as a limit of a parabolic-elliptic phase transition model
JO  - Interfaces and free boundaries
PY  - 2000
SP  - 267
EP  - 282
VL  - 2
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ifb/20/
DO  - 10.4171/ifb/20
ID  - 10_4171_ifb_20
ER  - 
%0 Journal Article
%A Danielle Hilhorst
%A Elisabeth Logak
%A Reiner Schätzle
%T Global existence for a non-local mean curvature flow as a limit of a parabolic-elliptic phase transition model
%J Interfaces and free boundaries
%D 2000
%P 267-282
%V 2
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4171/ifb/20/
%R 10.4171/ifb/20
%F 10_4171_ifb_20

Cité par Sources :