Stefan problem with surface tension: global existence of physical solutions under radial symmetry
DOI10.1007/s00440-023-01206-8arXiv2203.15113OpenAlexW4375857423MaRDI QIDQ6095839
Sergey Nadtochiy, Mykhaylo Shkolnikov
Publication date: 8 September 2023
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.15113
Stefan problems, phase changes, etc. (80A22) Applications of stochastic analysis (to PDEs, etc.) (60H30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Free boundary problems for PDEs (35R35) Weak solutions to PDEs (35D30) Blow-up in context of PDEs (35B44) Symmetries, invariants, etc. in context of PDEs (35B06) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Isolated zeros for Brownian motion with variable drift
- Particle systems with singular interaction through hitting times: application in systemic risk modeling
- Orthogonality conditions and asymptotic stability in the Stefan problem with surface tension
- Stefan problem with a kinetic condition at the free boundary
- An explanation of the Ciesielski-Taylor theorem
- At the mercy of the common noise: blow-ups in a conditional McKean-Vlasov problem
- Global solutions to the supercooled Stefan problem with blow-ups: regularity and uniqueness
- A McKean-Vlasov equation with positive feedback and blow-ups
- Particle systems with a singular mean-field self-excitation. Application to neuronal networks
- Global solvability of a networked integrate-and-fire model of McKean-Vlasov type
- Stochastic-Process Limits
- 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
- 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
- Spherically symmetric Stefan problem with the Gibbs–Thomson law at the moving boundary
This page was built for publication: Stefan problem with surface tension: global existence of physical solutions under radial symmetry
