Determination of unknown thermal coefficients in a Stefan problem for Storm's type materials
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Publication:1993439
DOI10.1007/s40314-017-0524-zzbMath1402.35315OpenAlexW2792860940MaRDI QIDQ1993439
Publication date: 5 November 2018
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-017-0524-z
free boundary problemStefan problemsimilarity solutionphase-change processover-specified boundary conditionunknown thermal coefficient
Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35) Solutions to PDEs in closed form (35C05)
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Cites Work
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- Nonlinear Stefan problem with convective boundary condition in Storm's materials
- One-dimensional nonlinear Stefan problems in Storm's materials
- The Stefan problem in nonlinear heat conduction
- Simultaneous determination of two unknown thermal coefficients through an inverse one-phase Lamé-Clapeyron (Stefan) problem with an overspecified condition on the fixed face
- Determination of unknown thermal coefficients for Storm's-type materials through a phase-change process
- Determination of the unknown coefficients in the Lame-Clapeyron problem (or one-phase Stefan problem)
- Determination of one unknown thermal coefficient through a mushy zone model with a convective overspecified boundary condition
- Exact solutions in nonlinear diffusion
- Explicit solutions to phase change problems
- Explicit solutions to the two-phase Stefan problem for Storm-type materials
- An inequality for the coefficient 𝜎 of the free boundary 𝑠(𝑡)=2𝜎√𝑡 of the Neumann solution for the two-phase Stefan problem
- Heat Conduction in Simple Metals
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