18 citations · 44 across the 6 of their papers we have counts for
6 papers
Onsager approach to 1D solidification problem and its relation to phase field description
Efim A. Brener, D. E. Temkin
We give a general phenomenological description of the steady state 1D front propagation problem in two cases: the solidification of a pure material and the isothermal solidificatio…
Melting of alloys along grain boundaries
Efim A. Brener, D. E. Temkin
We discuss melting of alloys along grain boundaries as a free boundary problem for two moving solid-liquid interfaces. One of them is the melting front and the other is the solidif…
Velocity selection problem in the presence of the triple junction
E. A. Brener, C. Hüter, D. Pilipenko +1
Melting of a bicrystal along the grain boundary is discussed. A triple junction plays a crucial role in the velocity selection problem in this case. In some range of the parameters…
Melting of alloys along the inter-phase boundaries in eutectic and peritectic systems
Efim A. Brener, D. E. Temkin
We discuss a simple model of the melting kinetics along the solid-solid interface in eutectic and peritectic systems. The process is controlled by the diffusion inside the liquid p…
Ivantsov parabolic solution for two combined moving interfaces
D. Temkin
We demonstrate that for a migration of a liquid layer between the melting and the solidification front an exact steady-state solution with two parabolic fronts can be found. A nece…
Velocity selection problem for combined motion of melting and solidification fronts
Efim A. Brener, D. E. Temkin
We discuss a free boundary problem for two moving solid-liquid interfaces that strongly interact via the diffusion field in the liquid layer between them. This problem arises in th…