Zero kinetic undercooling limit in the supercooled Stefan problem
DOI10.1214/21-AIHP1194zbMath1494.35197arXiv2003.07239OpenAlexW3011835519MaRDI QIDQ2155516
Graeme Baker, Mykhaylo Shkolnikov
Publication date: 15 July 2022
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.07239
local timeFeynman-Kac formulafree boundary problemskinetic undercoolingreflected processessupercooled Stefan problem
Initial-boundary value problems for second-order parabolic equations (35K20) Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35) Local time and additive functionals (60J55) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)
Related Items (3)
Cites Work
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- Brownian motion martingales and stochastic calculus
- Particle systems with singular interaction through hitting times: application in systemic risk modeling
- Mean field systems on networks, with singular interaction through hitting times
- Stefan problem with a kinetic condition at the free boundary
- 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
- Asymptotic behavior of solutions to the Stefan problem with a kinetic condition at the free boundary
- Uniqueness for contagious McKean–Vlasov systems in the weak feedback regime
- Some remarks on the regularization of supercooled one-phase Stefan problems in one dimension
- The Stefan Problem with a Kinetic Condition at the Free Boundary
- A general one-phase Stefan problem
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