Determination of unknown thermal coefficients in a non-classical Stefan problem

BOLLATI, JULIETA; BRIOZZO, ADRIANA C.; NATALE, MARÍA F.

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

PERGAMON-ELSEVIER SCIENCE LTD

Año: 2022 vol. 67

1468-1218

We study a non-classical one phase Stefan problem with a particular controlfunction which depends on the evolution of the temperature at the fixed facex = 0 and, we assume a Neumann boundary condition and an over specifiedRobin condition at the fixed face. Under certain restrictions on the data an explicitsimilarity type solution is given. Moreover, we determine the free boundary andone unknown thermal coefficient, or two unknown thermal coefficients dependingon whether the direct or inverse Stefan problem is considered