Understanding singularitiesin free boundary problems
Matematica, cultura e società : rivista dell'Unione Matematica Italiana, Série 1, Tome 4 (2019) no. 2, pp. 107-118.

Voir la notice de l'article dans Biblioteca Digitale Italiana di Matematica

I problemi di frontiera libera sono quelli descritti da EDP che mostrano interfacce o frontiere a priori sconosciuti (liberi). L'esempio più classico è lo scioglimento del ghiaccio in acqua (problema di Stefan). In questo caso, la frontiera libera è l'interfaccia solido-liquido tra acqua e ghiaccio. Una sfida matematica centrale in questo contesto è comprendere la regolarità e le singolarità delle frontiere libere. In questo articolo introduciamo questo argomento presentando alcuni risultati classici di Luis Caffarelli, oltre ad alcuni importanti lavori recenti dovuti ad Alessio Figalli e collaboratori. 
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Ros-Oton, Xavier; Serra, Joaquim. Understanding singularitiesin free boundary problems. Matematica, cultura e società : rivista dell'Unione Matematica Italiana, Série 1, Tome 4 (2019) no. 2, pp. 107-118. https://geodesic-test.mathdoc.fr/item/RUMI_2019_1_4_2_a5/

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