A nonlinear supercooled Stefan problem
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Publication:2359021
DOI10.1007/s00033-017-0788-6zbMath1371.35360OpenAlexW2602054923MaRDI QIDQ2359021
Adriana C. Briozzo, Maria F. Natale
Publication date: 27 June 2017
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-017-0788-6
Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35) Blow-up in context of PDEs (35B44)
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Cites Work
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- Explicit solutions to the one-phase Stefan problem with temperature-dependent thermal conductivity and a convective term
- One-phase Stefan problem with temperature-dependent thermal conductivity and a boundary condition of Robin type
- A Stefan problem for the heat equation subject to an integral condition
- On a nonlinear moving boundary problem with heterogeneity: Application of a reciprocal transformation
- Parabolic variational inequalities in one space dimension and smoothness of the free boundary
- General free-boundary problems for the heat equation. I
- Convexity of the free boundary in the Stefan problem and in the dam problem
- Smoothness of the free boundary in the Stephan problem with supercooled water
- A similarity solution of a multiphase Stefan problem incorporating general nonlinear heat conduction
- On a class of moving boundary problems in non-linear heat conduction: application of a Bäcklund transformation
- Exact solutions in nonlinear diffusion
- Remarks on a One-Dimensional Stefan Problem Related to the Diffusion-Consumption Model
- Some remarks on the regularization of supercooled one-phase Stefan problems in one dimension
- Application of a reciprocal transformation to a two-phase Stefan problem
- The Ill-Posed Hele-Shaw Model and The Stefan Problem for Supercooled Water
- Integrable forms of the one-dimensional flow equation for unsaturated heterogeneous porous media
- On the remarkable nonlinear diffusion equation (∂/∂x)[a (u+b)−2(∂u/∂x)−(∂u/∂t)=0]
- New results on some classical parabolic free-boundary problems
- On the exactly solvable equation$S_t = [ ( \beta S + \gamma )^{ - 2} S_x _x + \alpha ( \beta S + \gamma )^{ - 2} S_x $ Occurring in Two-Phase Flow in Porous Media]
- A stability theorem for diffusion problems with sharply changing temperature-dependent coefficients
- The birth of a cusp in the two-dimensional, undercooled Stefan problem
- Non-integrability of non-linear diffusion-convection equations in two-spatial dimensions
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