The research of a Stefan problem with unknown pressure in a liquid phase

DOI10.1016/J.NONRWA.2020.103124zbMath1460.35398OpenAlexW3013004309MaRDI QIDQ2208735

Murat Tilepiev, Perizat Beisebay, Aliya Aruova, Erbulat Akzhigitov

Publication date: 4 November 2020

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2020.103124

zbMATH Keywords

free boundary problemparabolic equationsmelting processheavy paraffin-base crude oil

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Free boundary problems for PDEs (35R35)

Cites Work

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• Classical solutions to parabolic systems with free boundary of Stefan type
• Free boundary problems for the heat equation in which the moving interface coincides initially with the fixed face
• Solvability of the Verigin problem in Sobolev spaces
• On the Stefan problem
• Asymptotic method for solution of identification problem of the nonlinear dynamic systems
• General One-Phase Stefan Problems and Free Boundary Problems for the Heat Equation with Cauchy Data Prescribed on the Free Boundary

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