The Stefan problem with surface tension in the three dimensional case with spherical symmetry: nonexistence of the classical solution

DOI10.1017/S0956792500001261zbMath0812.35165MaRDI QIDQ4291030

Anvarbek M. Meirmanov

Publication date: 15 May 1995

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessglobal-in-time classical solutionglobal-in-time weak solutionlocal-in-time classical solution

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35)

Related Items (11)

The Ginzburg-Landau equations of superconductivity and the one-phase Stefan problem ⋮ On classical solutions of the two-phase steady-state Stefan problem in strips ⋮ Stefan problem with surface tension: global existence of physical solutions under radial symmetry ⋮ Qualitative behavior of solutions for thermodynamically consistent Stefan problems with surface tension ⋮ An approximation in the problem of controlling the shape of the region for a parabolic system ⋮ The effect of surface tension and kinetic undercooling on a radially-symmetric melting problem ⋮ Large-time solutions of the two-phase Stefan problem with delay ⋮ STEFAN PROBLEMS FOR MELTING NANOSCALED PARTICLES ⋮ On a moving-boundary system modeling corrosion in sewer pipes ⋮ A numerical method to compute the dissolution of second phases in ternary alloys ⋮ An optimization model of the Stefan problem

Cites Work

• Existence and Stability for Spherical Crystals Growing in a Supersaturated Solution
• The Stefan Problem with a Kinetic Condition at the Free Boundary
• Unnamed Item

This page was built for publication: The Stefan problem with surface tension in the three dimensional case with spherical symmetry: nonexistence of the classical solution