Nonlinear Stefan problem with convective boundary condition in Storm's materials

DOI10.1007/s00033-015-0615-xzbMath1338.35506OpenAlexW2318229495MaRDI QIDQ294049

Maria F. Natale, Adriana C. Briozzo

Publication date: 9 June 2016

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11336/52477

zbMATH Keywords

free boundary problemStefan problemsimilarity solutionphase change process

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35) Solutions to PDEs in closed form (35C05)

Related Items (9)

Exact solution for a two-phase Stefan problem with variable latent heat and a convective boundary condition at the fixed face ⋮ Two-phase Stefan problem for generalized heat equation with nonlinear thermal coefficients ⋮ Two-phase Stefan problem with nonlinear thermal coefficients and a convective boundary condition ⋮ Determination of unknown thermal coefficients in a Stefan problem for Storm's type materials ⋮ A freezing problem with varying thermal coefficients and convective boundary condition ⋮ Non-classical Stefan problem with nonlinear thermal coefficients and a Robin boundary condition ⋮ On Stefan-type moving boundary problems with heterogeneity: canonical reduction via conjugation of reciprocal transformations ⋮ Existence and uniqueness of solution for two one-phase Stefan problems with variable thermal coefficients ⋮ Approximation of the modified error function

Cites Work

• Unnamed Item
• Unnamed Item
• One-dimensional nonlinear Stefan problems in Storm's materials
• The Stefan problem in nonlinear heat conduction
• Determination of unknown thermal coefficients for Storm's-type materials through a phase-change process
• On a class of moving boundary problems in non-linear heat conduction: application of a Bäcklund transformation
• Exact solutions in nonlinear diffusion
• Explicit solutions to phase change problems
• Application of a reciprocal transformation to a two-phase Stefan problem
• 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

This page was built for publication: Nonlinear Stefan problem with convective boundary condition in Storm's materials