Determination of unknown thermal coefficients in a non-classical Stefan problem. (October 2022)

• Record Type: Journal Article
• Authors: Bollati, Julieta; Briozzo, Adriana C.; Natale, María F.
• Is Part Of: Nonlinear analysis. Volume 67(2022)
• Publication Date: 2022-10
• Subjects: Non-classical Stefan problem -- Unknown thermal coefficients -- Convective boundary condition -- Heat flux condition -- Heat source -- Inverse Stefan problem; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2022.103591
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: We study a non-classical one phase Stefan problem with a particular control function which depends on the evolution of the temperature at the fixed face x = 0 and, we assume a Neumann boundary condition and an over specified Robin condition at the fixed face. Under certain restrictions on the data an explicit similarity type solution is given. Moreover, we determine the free boundary and one unknown thermal coefficient, or two unknown thermal coefficients depending on whether the direct or inverse Stefan problem is considered.