Geodesic
Stochastic curvature flows: asymptotic derivation, level set formulation and numerical experiments
Markos A. Katsoulakis1 ; Alvin T. Kho1
1University of Massachusetts, Amherst, USA
Interfaces and free boundaries, Tome 3 (2001) no. 3, pp. 265-290

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

DOI

We study the effects of random fluctuations included in microscopic models for phase transitions on macroscopic interface flows. We first derive asymptotically a stochastic mean curvature evolution law from the stochastic Ginzburg-Landau model and develop a corresponding level set formulation. Secondly, we demonstrate numerically, using stochastic Ginzburg-Landau and Ising algorithms, that microscopic random perturbations resolve geometric and numerical instabilities in the corresponding deterministic flow.
DOI : 10.4171/ifb/41
Classification : 46-XX, 60-XX
Mots-clés : Stochastic Ginzburg-Landau models, Ising systems, stochastic curvature evolution, level sets, Monte Carlo methods

Markos A. Katsoulakis  1   ; Alvin T. Kho  1

1 University of Massachusetts, Amherst, USA 
Markos A. Katsoulakis; Alvin T. Kho. Stochastic curvature flows: asymptotic derivation, level set formulation and numerical experiments. Interfaces and free boundaries, Tome 3 (2001) no. 3, pp. 265-290. doi: 10.4171/ifb/41
@article{10_4171_ifb_41,
     author = {Markos A. Katsoulakis and Alvin T. Kho},
     title = {Stochastic curvature flows: asymptotic derivation, level set formulation and numerical experiments},
     journal = {Interfaces and free boundaries},
     pages = {265--290},
     year = {2001},
     volume = {3},
     number = {3},
     doi = {10.4171/ifb/41},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/41/}
}
TY  - JOUR
AU  - Markos A. Katsoulakis
AU  - Alvin T. Kho
TI  - Stochastic curvature flows: asymptotic derivation, level set formulation and numerical experiments
JO  - Interfaces and free boundaries
PY  - 2001
SP  - 265
EP  - 290
VL  - 3
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ifb/41/
DO  - 10.4171/ifb/41
ID  - 10_4171_ifb_41
ER  - 
%0 Journal Article
%A Markos A. Katsoulakis
%A Alvin T. Kho
%T Stochastic curvature flows: asymptotic derivation, level set formulation and numerical experiments
%J Interfaces and free boundaries
%D 2001
%P 265-290
%V 3
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4171/ifb/41/
%R 10.4171/ifb/41
%F 10_4171_ifb_41

Cité par Sources :