One-phase Stefan-like problems with latent heat depending on the position and velocity of the free boundary and with Neumann or Robin boundary conditions at the fixed face

DOI10.1155/2018/4960391zbMath1427.35369arXiv1810.09547OpenAlexW2887137441MaRDI QIDQ1721002

Julieta Bollati, Domingo Alberto Tarzia

Publication date: 8 February 2019

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.09547

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35)

Related Items (3)

A class of moving boundary problems with a source term: application of a reciprocal transformation ⋮ Existence and uniqueness of solution for two one-phase Stefan problems with variable thermal coefficients ⋮ Wavelet based numerical approach of non-classical moving boundary problem with convection effect and variable latent heat under the most generalized boundary conditions

Uses Software

• DLMF

Cites Work

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• An inequality for the coefficient 𝜎 of the free boundary 𝑠(𝑡)=2𝜎√𝑡 of the Neumann solution for the two-phase Stefan problem

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