One-dimensional nonlinear Stefan problems in Storm's materials

DOI10.3390/MATH2010001zbMath1298.35256OpenAlexW2016861031MaRDI QIDQ401951

Adriana C. Briozzo, Maria F. Natale

Publication date: 27 August 2014

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math2010001

zbMATH Keywords

similarity solutionfree boundary problemsStefan problemsphase-change process

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35)

Related Items (6)

Nonlinear Stefan problem with convective boundary condition in Storm's materials ⋮ Non-classical two-phase Stefan problem with variable thermal coefficients ⋮ Florin-type problem for the parabolic equation with power nonlinearity ⋮ Heat Potentials Method in the Treatment of One-dimensional Free Boundry Problems Applied in Cryomedicine ⋮ Determination of unknown thermal coefficients in a Stefan problem for Storm's type materials ⋮ Existence and uniqueness of solution for two one-phase Stefan problems with variable thermal coefficients

Cites Work

• Explicit solutions to the one-phase Stefan problem with temperature-dependent thermal conductivity and a convective term
• The Stefan problem in nonlinear heat conduction
• Determination of unknown thermal coefficients for Storm's-type materials through a phase-change process
• Exact solutions in nonlinear diffusion
• Explicit solutions to phase change problems
• Explicit solutions to the two-phase Stefan problem for Storm-type materials
• Heat Conduction in Simple Metals

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