Singularity formation in the one-dimensional supercooled Stefan problem
From MaRDI portal
Publication:4880203
DOI10.1017/S0956792500002266zbMath0855.35135MaRDI QIDQ4880203
Juan J. L. Velazquez, Miguel Angel Herrero
Publication date: 3 February 1997
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
blowing-up solutionsextinction pointsupercooled Stefan problembehaviour of the free boundaryoxygen diffusion-consumption problem
Stefan problems, phase changes, etc. (80A22) A priori estimates in context of PDEs (35B45) Free boundary problems for PDEs (35R35)
Related Items (11)
Global solutions to the supercooled Stefan problem with blow-ups: regularity and uniqueness ⋮ Extended Stefan problem for the solidification of binary alloys in a sphere ⋮ Cell polarisation model: the 1D case ⋮ Criticality of a randomly-driven front ⋮ Traveling waves, blow‐up, and extinction in the Fisher–Stefan model ⋮ Classical Solutions for a Nonlinear Fokker-Planck Equation Arising in Computational Neuroscience ⋮ The effect of surface tension and kinetic undercooling on a radially-symmetric melting problem ⋮ Single phase limit for melting nanoparticles ⋮ A one-dimensional Keller-Segel equation with a drift issued from the boundary ⋮ A McKean-Vlasov equation with positive feedback and blow-ups ⋮ Semi-analytical solution of a McKean–Vlasov equation with feedback through hitting a boundary
Cites Work
- Geometric theory of semilinear parabolic equations
- Approaching an extinction point in one-dimensional semilinear heat equations with strong absorption
- General free-boundary problems for the heat equation. I
- Asymptotic shape of cusp singularities in curve shortening
- Asymptotically self‐similar blow‐up of semilinear heat equations
- Refined asymptotics for the blowup of ut — δu = up
- Classification of Singularities for Blowing up Solutions in Higher Dimensions
- A Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue
This page was built for publication: Singularity formation in the one-dimensional supercooled Stefan problem
