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One-phase inverse Stefan problems with unknown nonlinear sources

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Publication:376364
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DOI10.1134/S0012266113060037zbMath1274.35382MaRDI QIDQ376364

N. L. Gol'dman

Publication date: 4 November 2013

Published in: Differential Equations (Search for Journal in Brave)



Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Inverse problems for PDEs (35R30) PDEs in connection with classical thermodynamics and heat transfer (35Q79)


Related Items (5)

On mathematical models with unknown nonlinear convection coefficients in one-phase heat transform processes ⋮ Determination of unknown thermal coefficients in a non-classical Stefan problem ⋮ Determination of one unknown thermal coefficient through a mushy zone model with a convective overspecified boundary condition ⋮ One-phase inverse Stefan problem with an unknown distributed convection coefficient ⋮ Unnamed Item




Cites Work

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  • Properties of solutions of parabolic equations with unknown coefficients
  • A method of fundamental solutions for the one-dimensional inverse Stefan problem
  • The Stefan boundary inverse problem. A new approach to the investigation.
  • Unique continuation for parabolic differential equations and inequalities




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