Propagation of minimality in the supercooled Stefan problem

• Published in: arXiv.org
• Main Authors: Cuchiero, Christa, Rigger, Stefan, Svaluto-Ferro, Sara
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 14.06.2022
• Subjects: Freezing; Initial conditions; Liquid phases; Melting points; Propagation; Solid phases; Tightness; Topology; Vlasov equations

Supercooled Stefan problems describe the evolution of the boundary between the solid and liquid phases of a substance, where the liquid is assumed to be cooled below its freezing point. Following the methodology of Delarue, Nadtochiy and Shkolnikov, we construct solutions to the one-phase one-dimens...