Determination of one unknown coefficient in a two-phase free boundary problem in an angular domain with variable thermal conductivity and specific heat.
Journal of Mathematical Analysis and Applications (J. Math. Anal. Appl.) (20240101), 531, no.~1, part 1, Paper No 127775, 20~pp. ISSN: 0022-247X (print).eISSN: 1096-0813.
Subject
74 Mechanics of deformable solids -- 74F Coupling of solid mechanics with other effects 74F10 Fluid-solid interactions
80 Classical thermodynamics, heat transfer -- 80A Thermodynamics and heat transfer 80A22 Stefan problems, phase changes, etc.
In this paper the authors study a two-phase free boundary problem in one spatial dimension with temperature-dependent coefficients. The free boundary $s(t)$ is defined by the classical Stefan type and the other part of the boundary is given by $rs(t)$ with $0