Geodesic
Understanding singularitiesin free boundary problems
Matematica, cultura e società, Série 1, Tome 4 (2019) no. 2, pp. 107-118 Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica

Voir la notice de l'article

Free boundary problems are those described by PDEs that exhibit a priori unknown (free) interfacesor boundaries. The most classical example is the melting of ice to water (the Stefan problem). In this case, the freeboundary is the liquid-solid interface between ice and water. A central mathematical challenge in this context is to understand the regularity and singularities of free boundaries. In this paper we provide a gentle introduction to this topic by presenting some classical results of Luis Caffarelli, as well as some important recent works due to Alessio Figalli and collaborators. 
@article{RUMI_2019_1_4_2_a5,
     author = {Ros-Oton, Xavier and Serra, Joaquim},
     title = {Understanding singularitiesin free boundary problems},
     journal = {Matematica, cultura e societ\`a},
     pages = {107--118},
     year = {2019},
     volume = {Ser. 1, 4},
     number = {2},
     mrnumber = {3965683},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RUMI_2019_1_4_2_a5/}
}
TY  - JOUR
AU  - Ros-Oton, Xavier
AU  - Serra, Joaquim
TI  - Understanding singularitiesin free boundary problems
JO  - Matematica, cultura e società
PY  - 2019
SP  - 107
EP  - 118
VL  - 4
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/RUMI_2019_1_4_2_a5/
LA  - en
ID  - RUMI_2019_1_4_2_a5
ER  - 
%0 Journal Article
%A Ros-Oton, Xavier
%A Serra, Joaquim
%T Understanding singularitiesin free boundary problems
%J Matematica, cultura e società
%D 2019
%P 107-118
%V 4
%N 2
%U http://geodesic.mathdoc.fr/item/RUMI_2019_1_4_2_a5/
%G en
%F RUMI_2019_1_4_2_a5
Ros-Oton, Xavier; Serra, Joaquim. Understanding singularitiesin free boundary problems. Matematica, cultura e società, Série 1, Tome 4 (2019) no. 2, pp. 107-118. http://geodesic.mathdoc.fr/item/RUMI_2019_1_4_2_a5/