Explicit solutions for one-dimensional two-phase free boundary problems with either shrinkage or expansion

DOI10.1016/j.nonrwa.2009.04.014zbMath1189.35389OpenAlexW2076420477MaRDI QIDQ974614

Eduardo Adrian Santillan Marcus, Domingo Alberto Tarzia, Maria F. Natale

Publication date: 3 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.04.014

zbMATH Keywords

expansionexplicit solutionsfree boundary problemStefan problemshrinkagesolidification problem

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Flows in porous media; filtration; seepage (76S05) Free boundary problems for PDEs (35R35) Solutions to PDEs in closed form (35C05)

Related Items (2)

BVP's with odd differences of gaps in boundary conditions for order ODE's by matching solutions ⋮ Explicit solution for a Stefan problem with variable latent heat and constant heat flux boundary conditions

Cites Work

• Determination of unknown thermal coefficients for Storm's-type materials through a phase-change process
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• Solidification of a finite slab with convective cooling and shrinkage
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• An one-dimensional two-phase free boundary problem in an angular domain
• Application of a reciprocal transformation to a two-phase Stefan problem
• A Stefan-Type Problem with Void Formation and its Explicit Solution
• Singular Perturbation Theory for Melting or Freezing in Finite Domains Initially Not at the Fusion Temperature
• SIMILARITY SOLUTIONS IN A CLASS OF THAWING PROCESSES
• 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
• A free boundary problem in an absorbing porous material with saturation dependent permeability
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