Local and global solvability of the quasilinear hyperbolic Stefan problem on the line

DOI10.1134/S0012266106040094zbMath1131.35360MaRDI QIDQ2461903

V. M. Kirilich, A. D. Myshkis, Ruslan V. Andrusyak

Publication date: 21 November 2007

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

zbMATH Keywords

existenceuniqueness

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) First-order nonlinear hyperbolic equations (35L60) Free boundary problems for PDEs (35R35) Initial value problems for first-order hyperbolic systems (35L45)

Related Items

Global conjugation of solutions of a hyperbolic problem along an unknown contact boundary ⋮ Boundary value problems with nonlocal conditions for hyperbolic systems of equations with two independent variables ⋮ Unnamed Item ⋮ Well-posedness of boundary-value problems for multidimensional hyperbolic systems

Cites Work

• The Stefan problem for a hyperbolic heat equation
• Positivity of Paneitz operators
• Mixed problems for quasilinear hyperbolic systems
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