The Stefan problem with kinetic classical condition on a free boundary

• Date: 1992
• Main Authors: Bazaly , B. V., Degtyarev , S. P., Базалий , Б. В., Дегтярев , С. П.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 1992
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7827
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The Stefan problem is considered with the kinetic condition u+=u−=ɛk(y,τ)-ɛv at the phase interface, where k(y, τ) is the half-sum of the principal curvatures of the free boundary and v is the speed of its shifting in the direction of a normal. The solvability of a modified Stefan problem in spaces...