Stefan problem with surface tension: uniqueness of physical solutions under radial symmetry

DOI10.1007/s00205-024-02026-3MaRDI QIDQ6659438

Yucheng Guo, S. Nadtochiy, Mykhaylo Shkolnikov

Publication date: 9 January 2025

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

regularity estimatesphysical solution

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Initial-boundary value problems for second-order parabolic equations (35K20) Free boundary problems for PDEs (35R35)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Conditioned martingales
• Orthogonality conditions and asymptotic stability in the Stefan problem with surface tension
• Remarks on the maximum principle for parabolic equations and its applications
• Stefan problem with a kinetic condition at the free boundary
• Über die Theorie der Eisbildung.
• Über einige Probleme der Theorie der Wärmeleitung.
• Global solutions to the supercooled Stefan problem with blow-ups: regularity and uniqueness
• Zero kinetic undercooling limit in the supercooled Stefan problem
• Particle systems with a singular mean-field self-excitation. Application to neuronal networks
• Solutions for the two-phase Stefan problem with the Gibbs–Thomson Law for the melting temperature
• Gradient flows of non convex functionals in Hilbert spaces and applications
• The Dynamics of Rotating Waves in Scalar Reaction Diffusion Equations
• Stability in the Stefan Problem with Surface Tension (I)
• The Stefan Problem with Small Surface Tension
• The Stefan problem with surface tension in the three dimensional case with spherical symmetry: nonexistence of the classical solution
• Analytic solutions for a Stefan problem with Gibbs-Thomson correction
• Über die Theorie der Eisbildung, insbesondere über die Eisbildung im Polarmeere.
• Über die Verdampfung und die Auflösung als Vorgänge der Diffusion.
• Stefan problem with surface tension: global existence of physical solutions under radial symmetry
• Scaling limits of external multi-particle DLA on the plane and the supercooled Stefan problem

This page was built for publication: Stefan problem with surface tension: uniqueness of physical solutions under radial symmetry

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6659438)