Determination of the unknown coefficients in the Lame-Clapeyron problem (or one-phase Stefan problem)

DOI10.1016/S0196-8858(82)80006-7zbMath0493.35079MaRDI QIDQ1168505

Domingo Alberto Tarzia

Publication date: 1982

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

phase change problemone-phase Stefan problemdetermination of thermal coefficientsLame- Clapeyron problem

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Free boundary problems for PDEs (35R35)

Related Items

Determination of two unknown thermal coefficients through an inverse one-phase fractional Stefan problem ⋮ Determination of one unknown thermal coefficient through a mushy zone model with a convective overspecified boundary condition ⋮ Determination of one or two unknown thermal coefficients of a semi- infinite material through a two-phase Stefan problem ⋮ Determination of unknown thermal coefficients in a Stefan problem for Storm's type materials

Cites Work

• Determination of certain parameters in heat conduction problems
• Determination of the unknown coefficient \(k(u)\) in the equation \(\nabla\cdot k(u)\nabla u = 0\) from overspecified boundary data
• Determination of an unknown coefficient in a parabolic differential equation
• An inequality for the coefficient 𝜎 of the free boundary 𝑠(𝑡)=2𝜎√𝑡 of the Neumann solution for the two-phase Stefan problem
• The Determination of Unknown Parameters in Analytic Systems of Ordinary Differential Equations
• Determining Unknown Coefficients in a Nonlinear Heat Conduction Problem
• Various methods for finding unknown coefficients in parabolic differential equations
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