A One-Phase Hyperbolic Stefan Problem in Multi-Dimensional Space

DOI10.2307/2001245zbMath0697.35171OpenAlexW4245839459MaRDI QIDQ3473563

Dening Li

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2001245

zbMATH Keywords

stabilityuniquenesslocal existenceclassical solutionspartial hodograph transformationhyperbolic heat transferStefan type free boundary problem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Free boundary problems for PDEs (35R35)

Related Items (2)

On a model of phase relaxation for the hyperbolic Stefan problem ⋮ The existence and stability of conic shock waves.

Cites Work

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• The well-posedness of a hyperbolic Stefan problem
• Double Shock Fronts for Hyperbolic Systems of Conservation Laws in Multidimensional Space
• The existence of multidimensional shock fronts
• On the formulation of hyperbolic Stefan problems
• Multi‐dimensional shock fronts for second order wave equations
• A Hyperbolic Heat Transfer Problem with Phase Changes
• Differentiability of Solutions to Hyperbolic Initial Boundary Value Problems
• Heat waves
• A hyperbolic Stefan problem

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